Amplitude Quotes

The foundation of reverence is this perception, that the present holds within itself the complete sum of existence, backwards and forwards, that whole amplitude of time, which is eternity.

Every morning brings us news of the globe, and yet we are poor in noteworthy stories. This is because no event comes to us without being already shot through with explanation. In other words, by now almost nothing that happens benefits storytelling; almost everything benefits information. Actually, it is half the art of storytelling to keep a story free from explanation as one reproduces it. . . . The most extraordinary things, marvelous things, are related with the greatest accuracy, but the psychological connection of the event is not forced on the reader. It is left up to him to interpret things the way he understands them, and thus the narrative achieves an amplitude that information lacks.

Love is the science of reducing your sound while upping the amplitude of another person.

This, then, is the ultimate, that is only, consolation: simply that someone shares some of your own feelings and has made of these a work of art which you have the insight, sensitivity, and — like it or not — peculiar set of experiences to appreciate. Amazing thing to say, the consolation of horror in art is that it actually intensifies our panic, loudens it on the sounding-board of our horror-hollowed hearts, turns terror up full blast, all the while reaching for that perfect and deafening amplitude at which we may dance to the bizarre music of our own misery.

Developing antifragility means focusing on the amplitude and nature of potential consequences, not the probability.

I'm in love with New York. It matches my mood. I'm not overwhelmed. It is the suitable scene for my ever ever heightened life. I love the proportions, the amplitude, the brilliance, the polish, the solidity. I look up at Radio City insolently and love it. It's all great, and Babylonian. Broadway at night. Cellophane. The newness. The vitality. True, it is only physical. But it's inspiring. Just bring your own contents, and you create a sparkle of the highest power. I'm not moved, not speechless. I stand straight, tough and I meet the impact. I feel the glow and the dancing in everything. The radio music in the taxis, scientific magic, which can all be used lyrically. That's my last word. Give New York to a poet. He can use it. It can be poetized. Or maybe that's mania of mine, to poetize. I live lightly, smoothly, actively, ears or eyes wide open, alert, oiled! I feel the glow and the dancing in every thing and the tempo is like that of my blood. I'm at once beyond, over and in New York, tasting it fully.

«¿Preguntas cómo te amo? Déjame que te diga Te amo con la hondura, altura y amplitud que mi espíritu alcanza... Te amo con la risa, el aliento y el llanto de mi vida. Y si Dios lo permite, aún mejor te amaré más allá de la muerte»

El hábito de leer no nos hace necesariamente mejores personas, pero nos enseña a observar con el ojo de la mente la amplitud el mundo y la enorme variedad de situaciones y seres que lo pueblan. Nuestras ideas se vuelven más ágiles y nuestra imaginación, más iluminadora.

Developing antifragility means focusing on the amplitude of potential consequences, not the probability.

Morality consists in this for each individual: to attempt each time to extend its region of clear expression, to try to augment its amplitude, so as to produce a free act that expresses the most possible in one given condition or another. -- Gilles Deleuze, The Fold: Leibniz and the Baroque, 73

There is a most profound and beautiful question associated with the observed coupling constant, e - the amplitude for a real electron to emit or absorb a real photon. It is a simple number that has been experimentally determined to be close to 0.08542455. (My physicist friends won't recognize this number, because they like to remember it as the inverse of its square: about 137.03597 with about an uncertainty of about 2 in the last decimal place. It has been a mystery ever since it was discovered more than fifty years ago, and all good theoretical physicists put this number up on their wall and worry about it.) Immediately you would like to know where this number for a coupling comes from: is it related to pi or perhaps to the base of natural logarithms? Nobody knows. It's one of the greatest damn mysteries of physics: a magic number that comes to us with no understanding by man. You might say the "hand of God" wrote that number, and "we don't know how He pushed his pencil." We know what kind of a dance to do experimentally to measure this number very accurately, but we don't know what kind of dance to do on the computer to make this number come out, without putting it in secretly!

I felt a sensation of candour and amplitude, of the body and mind opened up, of thought diffusing at the body's edges rather than ending at the skin.

Perhaps the Gaelic people shall by his like bring back again the ancient simplicity and amplitude of imagination.

Me fijé en que Fela giraba la cabeza y miraba a Simmon como si le sorprendiera verlo allí sentado. O mejor dicho: fue como si hasta ese momento Simmon únicamente hubiera ocupado espacio alrededor de Fela, como un mueble. Pero esa vez, cuando ella lo miró, lo captó por entero. El cabello rubio rojizo, la línea de su mandíbula, la amplitud de los hombros bajo la camisa. Esa vez, cuándo lo miró, lo vio de verdad. Dejadme decir una cosa. Todas las horas que pasamos buscando en el Archivo, todo el fastidio y el cansancio valieron la pena solo para presenciar aquel momento. Valió la pena sangre y temer a la muerte por verla enamorarse de Sim. Solo un poco. Solo el primer hálito débil del amor, tan leve que seguramente ni siquiera ella lo percibió. No fue espectacular, como un rayo seguido del estruendo de un trueno. Fue más bien como cuando golpeas pedernal contra acero y salta una chispa que se desvanece tan deprisa que casi no la ves. Pero sabes que está allí, donde no puedes verla, prendiendo.

She had often disconcerted me by the truth. In the days when we were in love, I would try to get her to say more than the truth—that our affair would never end, that one day we should marry. I wouldn’t have believed her, but I would have liked to hear the words on her tongue, perhaps only to give me the satisfaction of rejecting them myself. But she never played that game of make-believe, and then suddenly, unexpectedly, she would shatter my reserve with a statement of such sweetness and amplitude

Tragedy, then, is a representation of an action that is worth serious attention, complete in itself, and of some amplitude; in language enriched by a variety of artistic devices appropriate to the several parts of the play; presented in the form of action, not narration; by means of pity and fear bringing about the purgation of such emotions.

He tratado de entregarte, para que tú lo retuvieras en tu puño, para que lo acogieras en tu pecho, junto a tu corazón desfalleciente, el significado de un instante: el instante en el que por la amplitud de mi deseo, supe que eras mía.

Seeing anything as waves suggests immediate knobs: wavelength, frequency, amplitude, speed, medium, and a host of other basic notions that define the essence of undularity. Seeing anything as particles suggests totally different knobs: mass, shape, radius, rotation, constituents, and a host of other basic notions that define the essence of corpuscularity.

And I know I am solid and sound, To me the converging objects of the universe perpetually flow, All are written to me, and I must get what the writing means. And I know I am deathless, I know this orbit of mine cannot be swept by a carpenter’s compass, I know I shall not pass like a child’s carlacueg cut with a burnt stick at night. I know I am august, I do not trouble my spirit to vindicate itself or be understood, I see that the elementary laws never apologize, I reckon I behave no prouder than the level I plant my house by after all. I exist as I am, that is enough, If no other in the world be aware I sit content, And if each and all be aware I sit content. One world is aware, and by far the largest to me, and that is myself, And whether I come to my own today or in ten thousand or ten million years, I can cheerfully take it now, or with equal cheerfulness I can wait. My foothold is tenoned and mortised in granite, I laugh at what you call dissolution, And I know the amplitude of time. I am the poet of the body, And I am the poet of the soul. The pleasures of heaven are with me, and the pains of hell are with me, The first I graft and increase upon myself.... the latter I translate into a new tongue.

She took no pleasure from the very things I loved, from her size, her amplitude, her luscious, zaftig heft. As many times as I told her she was beautiful, I know that she never believed me. As many times as I said it didn’t matter, I knew that to her it did. I was just one voice, and the world’s voice was louder. I could feel her shame like a palpable thing, walking beside us on the street, crouched down between us in a movie theater, coiled up and waiting for someone to say what to her was the dirtiest word in the world: fat.

The personality is seldom, in the beginning, what it will be later on. For this reason the possibility of enlarging it exists, at least during the first half of life. The enlargement may be effected through an accretion from without, by new vital contents finding their way into the personality from outside and being assimilated. In this way a considerable increase of personality may be experienced. We therefore tend to assume that this increase comes only from without, thus justifying the prejudice that one becomes a personality by stuffing into oneself as much as possible from outside. But the more assiduously we follow this recipe, and the more stubbornly we believe that all increase has to come from without, the greater becomes our inner poverty. Therefore, if some great idea takes hold of us from outside, we must understand that it takes hold of us only because something in us responds to it and goes out to meet it. Richness of mind consists in mental receptivity, not in the accumulation of possessions. What comes to us from outside, and, for that matter, everything that rises up from within, can only be made our own if we are capable of an inner amplitude equal to that of the incoming content. Real increase of personality means consciousness of an enlargement that flows from inner sources. Without psychic depth we can never be adequately related to the magnitude of our object. It has therefore been said quite truly that a man grows with the greatness of his task. But he must have within himself the capacity to grow; otherwise even the most difficult task is of no benefit to him. More likely he will be shattered by it…

The amplitudes of life get smaller as you age. There are less and less things to experience for the first time. And each time you experience something, you don't get quite as excited. But you don't get quite as hurt, either. I wonder what it will feel like when I'm seventy...

So I told her this: that it's true I've only rarely been happy, and perhaps more often been sad. But I have been content. I have lived. I have felt everything available to me: I've been faithless, devout, indifferent, ardent, diligent, and careless; full of hope and disappointment, bewildered by time and fate or confused by providence--and all of it ticking through me while the pendulum of my life loses amplitude by the hour. (Thomas Hart)

Cae la noche a toda prisa y el cristal helado produce en tus manos un tintineo leve pero muy agradable. La gran ciudad parece arder en toda su amplitud, en su apabullante telón de torres recubiertas de destellos, zurcidos ahora junto al polen diamantino de un millón de luce…y el sol se ha puesto ya detrás de ellas y la vieja luz rojiza del crepúsculo queda pinta sin calor, sin violencia, sobre el río. Y allí están los botes, los remolques, las barcazas que pasan y la perspectiva alada de los puentes con su gracia exultante. De pronto, ha caído la noche y hay barcos allí, hay barcos, y una ansiedad animal e intolerable dentro de ti que no consigues calmar.

The strident emotional belief that children made you happy, even when all the data pointed to misery. The high-amplitude fear of sharks and dark-skinned snipers who would never kill you; indifference to all the toxins and pesticides that could. The mind was so rotten with misrepresentation that in some cases it literally had to be damaged before it could make a truly rational decision—and should some brain-lesioned mother abandon her baby in a burning house in order to save two strangers from the same fire, the rest of the world would be more likely to call her a monster than laud the rationality of her lifeboat ethics. Hell, rationality itself—the exalted Human ability to reason—hadn’t evolved in the pursuit of truth but simply to win arguments, to gain control: to bend others, by means logical or sophistic, to your will. Truth had never been a priority. If believing a lie kept the genes proliferating, the system would believe that lie with all its heart. Fossil feelings. Better off without them, once you’d outgrown the savanna and decided that Truth mattered after all. But Humanity wasn’t defined by arms and legs and upright posture. Humanity had evolved at the synapse as well as at the opposable thumb—and those misleading gut feelings were the very groundwork on which the whole damn clade had been built. Capuchins felt empathy. Chimps had an innate sense of fair play. You could look into the eyes of any cat or dog and see a connection there, a legacy of common subroutines and shared emotions.

Algo hay que reconocerle a la desesperación: te hace tener mucha más amplitud de miras.

Fifth is Q, the amplitude of the irregularities in the cosmic microwave background, which equals 10

La capacidad de un hombre es la misma que la amplitud de su visión.

Escribiré libros. Eso es lo que vislumbro más allá del instante, en el gran desierto bajo cuyos trazos se me aparece la amplitud de mi vida.

Imagination, which in truth Is but another name for absolute power And clearest insight, amplitude of mind, And reason, in her most exalted mood.

...Se trata de la certeza que tu amplitud es mi horizonte

Love and hate share the same amplitude of emotional charge, so maybe that's why it's so easy to cross the invisible lines.

He was a great teller of tales, and unlike our common romancers, knew how to empty heaven, hell, and purgatory, faeryland and earth, to people his stories. He did not live in a shrunken world, but knew of no less ample circumstance than did Homer himself. Perhaps the Gaelic people shall by his like bring back again the ancient simplicity and amplitude of imagination.

The flesh,' as Saint Paul used the term, refers, ironically, not to our bodies but to fallen human nature. The 'carnal' spirit is the one that devours things for itself and refuses to make them an oblation to God. The carnal spirit is cruel, egocentric, avaricious, gluttonous, and lecherous, and as such us fevered, restless, and divided. The spiritual man, on the other hand, is alone the man who both knows what flesh is for and can enter into its amplitude. The lecher, for example, supposes that he knows more about love than the virgin or the continent man. He knows nothing. Only the virgin and the faithful spouse knows what love is about. The glutton supposes that he knows the pleasures of food, but the true knowledge of food is unavailable to his dribbling and surfeited jowls. The difference between the carnal man and the spiritual man is not physical. They may look alike and weigh the same. The different lies, rather, between one's being divided, snatching and grabbing at things, even nonphysical things like fame and power, or being whole and receiving all things as Adam was meant to receive them, in order to offer them as an oblation to their Giver.

By holding a clear and firm intention and heightening our emotional energy, we have to create a new internal experience in our minds and bodies that’s greater than the past external experience. In other words, when we decide to create a new belief, the amplitude or energy of that choice must be high enough that it’s greater than the hardwired programs and emotional conditioning in the body.

Oh no, you do not get any choice in the matter. What you are likely to see is determined by the probabilities for the various quantum states. What you actually see is a matter of random choice. You do not get to choose what will happen; the quantum amplitudes only give the probability of different results, but they do not fix what will happen. That is pure chance and only becomes fixed when an observation is made.

The more perfect something is, the less it can be loved -- like a face, a body, voice, tone, color, or music itself. In playing a piece, don't strive for perfection: it will kill the piece in that it will prevent it from entering the emotions. That's the kind of advice you can't do anything with except perhaps later, when you don't even know you're doing it. It's part of the freeze of counterpoint.' 'I've never heard that expression,' she said. 'Stasis may be a better word -- the liberation of the space between two contradictions. Let me explain if I can. If two waves of equal but opposite amplitude meet in water, what do you get' 'Flat water.' 'In sound?' 'Silence.' 'Right. From agitation, peace, a perfection that you might have thought unobtainable from the clash of contradictory elements.' 'I think you've explained the magic of counterpoint very well.' 'Not really. It's inexplicable. I've noted it, that's all. Half of humanity's troubles arise from the inability to see that contradictory propositions can be valid simultaneously.

I thought of many an autumn I had known: Seemly autumns approaching deliberately, with amplitude. I thought of wild asters, Michaelmas daisies, mushrooms, leaves idling down the air, two or three at a time, warblers twittering and glittering in every bush ('Confusing fall warblers,' Peterson calls them, and how right he is): the lingering yellow jackets feeding on broken apples; crickets; amber-dappled light; great geese barking down from the north; the seesaw noise that blue jays seem to make more often in the fall. Hoarfrost in the morning, cold stars at night. But slow; the whole thing coming slowly. The way it should be.

Si por arte de magia me permitiesen repetir alguna edad, estoy segura de que evitaría ser demasiado joven. Añoro como mucho mis circunstancias de entonces. O mi falta de circunstancias. Todo lo que pude haber sido cuando todavía no era nadie. Si pudiera retroceder a aquella época, lo único que haría es quedarme inmóvil, maravillada, contemplando la amplitud brutal del porvenir. Es lo más parecido a la felicidad que se me ocurre".

For any sustained and more or less original work it seems most necessary that one should have the quietude and strength of Nature at hand, like a great reservoir from which to draw. The open air, and the physical and mental health that goes with it, the sense of space and freedom of the Sky, the vitality and amplitude of the Earth -- these are real things from which one can only cut oneself off at serious peril and risk to one's immortal soul.

As electrical energy can create mechanical vibrations (perceived as sound by the human ear), so in turn can mechanical vibrations create electrical energy, such as the previously mentioned ball lightning. It could be theorized, therefore, that with the Earth being a source for mechanical vibration, or sound, and the vibrations being of a usable amplitude and frequency, then the Earth's vibrations could be a source of energy that we could tap into. Moreover, if we were to discover that a structure with a certain shape, such as a pyramid, was able to effectively act as a resonator for the vibrations coming from within the Earth, then we would have a reliable and inexpensive source of energy.

damage to tunnels in earthquakes is extremely rare. This is true for a couple of reasons. First, the amplitude of seismic shaking underground is only half of what it is at the surface. When a seismic wave hits the surface of the earth, it is reflected back downward, and that reflected wave also causes shaking. So, at the surface, movement is double what you’d find within the earth. Second, tunnels generally have a round or oval cross section, which is a very stable shape.

A new generation of satellites carries highly sensitive radars that can measure the size of waves on the water surface. Making use of the relationship between wind speed and the amplitude of small surface waves, a wind-speed map...was created.

¿Quieren hablar de capitalismo? Pues, bien, señores: lo malo de la sociedad burguesa es que la ley de la competencia no existe en toda su amplitud. La gran mayoría de ciudadanos no pueden concurrir con quienes detentan los medios de producción

So often we miss the whole-fabric aspect of where we live, and our own consciousness embedded within it. We are not interrelated but “intrabranched”: one branch wound around another and fused into a single embrace. Our lacelike nervations have overlapping frequencies. It’s what the Greenlanders simply call sila: consciousness, weather, and the power of nature as one. If nothing else, we are what the physicist Richard Feynman called “scattering amplitudes,” wholes within unbounded totalities.

He did not live in a shrunken world, but knew of no less ample circumstance than did Homer himself. Perhaps the Gaelic people shall by his like bring back again the ancient simplicity and amplitude of imagination. What is literature but the expression of moods by the vehicle of

Things in electronics don’t get interesting until there is change: A signal changes amplitude, a frequency changes, a voltage level changes from a logical one to a logical zero. And the mathematics of change is calculus. Most people don’t like calculus, and that includes a lot of engineers!

Visions and voices and fear and despair cannot be captured by CT scan or measured in the amplitude of EKG waves. Try as we might, we simply cannot predict which of our patients will kill themselves, which will murder their children, and which will leave the hospital healed, never to return.

Debo irme, con mi carga de ginebra y de sueño, a dormir. La embriaguez, cuelga de mis pestañas superiores kilogramos de cansancio. Debo tener los ojos como los de los criminales —que economizan la amplitud de las miradas— acunando las pupilas en los ángulos agudos de ojo, con mimo maternal.

When an object impacts the Moon at high speed, it sets the Moon slightly wobbling. Eventually the vibrations die down but not in so short a period as eight hundred years. Such a quivering can be studied by laser reflection techniques. The Apollo astronauts emplaced in several locales on the Moon special mirrors called laser retroreflectors. When a laser beam from Earth strikes the mirror and bounces back, the round-trip travel time can be measured with remarkable precision. This time multiplied by the speed of light gives us the distance to the Moon at that moment to equally remarkable precision. Such measurements, performed over a period of years, reveal the Moon to be librating, or quivering with a period (about three years) and amplitude (about three meters), consistent with the idea that the crater Giordano Bruno was gouged out less than a thousand years ago.

Disintegration: literally, the loss of integrity. But if the mind can be described as one’s subjective experience of the brain, then what is the self but vagrant fluorescings of neural constellations, individual states of consciousness determined by mercurial configurations of amplitude and alliance?

Robert Ingersoll's character was as nearly perfect as it is possible for the character of mortal man to be... none sweeter or nobler had ever blessed the world. The example of his life was of more value to posterity than all the sermons that were ever written on the doctrine of original sin... The genius for humor and wit and satire of a Voltaire, a wide amplitude of imagination, and a greatness of heart and brain that placed him upon an equal footing with the greatest thinkers of antiquity. He stands, at the close of his career, the first great reformer of the age. {Thomas' words at the funeral of the great Robert Ingersoll}

La vida es lo bastante larga y, si toda ella se invierte bien, se concede con la amplitud necesaria para la consecución de la mayor parte de las cosas. Pero si transcurre entre exceso y negligencia, y no se emplea en nada bueno, sólo cuando nos oprime la última hora sentimos que se va lo que no comprendimos que pasaba.

Hardy’s astonishing technical versatility has won the admiration of major poets from Ezra Pound and Cecil Day Lewis to Philip Larkin. Among other genres he employs the lyric, narrative, ballads, and the sonnet. He also moves easily between the amplitude of dramatic monologue and the compression of imagism. He experiments continually with an ingenious variety of stanza forms and rhyme schemes, rejecting the fluidity of contemporary poetry for his own idiosyncratic style, based on a real understanding of the variety of speech rhythms and registers. Each individual poem is designed to express in its language and form, and with utter honesty, Hardy’s impressions of life.

But the shtick that makes Amplitude unique is its prominent triangular nicks that carve out space at stroke junctions. The “ink trap” is normally a functional device, used to compensate for ink gain (see Bell Centennial), but Christian Schwartz makes it an aesthetic device, giving a stylish edge to headlines without sacrificing the type’s readability in

So now, I present to you the three basic actions, from which all the phenomena of light and electrons arise. -ACTION #1: A photon goes from place to place. -ACTION #2: An electron goes from place to place. -ACTION #3: An electron emits or absorbs a photon. Each of these actions has an amplitude-an arrow-that can be calculated according to certain rules.

If you read about quantum machine-learning applications that solve some conventional machine-learning problem with a fantastic speedup, always be sure to check whether they return a quantum output. Quantum outputs, such as amplitude-encoded vectors, limit the usage of applications, and require additional specification of how to extract practical, useful results.

We live, after all, in the present: the present is inevitably the context for our reaction and response, and it matters. Yet one of art’s most compelling features is how it showcases the disjuncts between the time of composition, the time of dissemination, and the time of consideration—disjuncts that can summon us to humility and wonder. Such temporal amplitude understandably falls out of favor in politically polarized times, in which the pressure to make clear “which side you’re on” can be intense. New attentional technologies (aka the internet, social media) that feed on and foster speed, immediacy, reductiveness, reach, and negative affect (such as paranoia, anger, disgust, distress, fear, and humiliation) exacerbate this pressure.

the majesty of ruling glance and contemning look, the feeling of separation from the multitude with their duties and virtues, the kindly patronage and defense of whatever is misunderstood and calumniated, be it God or devil, the delight and practice of supreme justice, the art of commanding, the amplitude of will, the lingering eye which rarely admires, rarely looks up, rarely loves....

By holding a clear and firm intention and heightening our emotional energy, we have to create a new internal experience in our minds and bodies that’s greater than the past external experience. In other words, when we decide to create a new belief, the amplitude or energy of that choice must be high enough that it’s greater than the hardwired programs and emotional conditioning in the body. To

That ignores the amplitudes of the branches. The contribution of the bowling ball to the energy of the universe isn’t just the mass and the potential energy of the ball; it’s that, times the weight of its branch of the wave function. After the splitting it looks like you have two bowling balls, but together they contribute exactly as much to the energy of the wave function as the single bowling ball did before.

Parece inevitable, tan fuerte es la necesidad de esta música; nada puede interrumpirla, nada que venga del tiempo donde está varado el mundo; cesará sola, por orden. Esta hermosa voz me gusta sobre todo, no por su amplitud ni su tristeza, sino porque es el acontecimiento que tantas notas han preparado desde lejos, muriendo para que ella nazca. Y sin embargo, estoy inquieto; bastaría tan poco para que el disco se detuviera.

...No me conviene salir de un capitalista para caer en otro. Lo que hay que hacer es una cooperativa y mandar a la madame al carajo. No ha oído hablar de eso? Váyase con cuidado, mire que si sus inquilinos le forman una cooperativa en el campo, usted se jodió. Lo que yo quiero es una cooperativa de putas. Pueden ser putas y maricones, para darle más amplitud al negocio. Nosotros ponemos todo, el capital y el trabajo. Para qué queremos un patrón?

There is nothing unknown about the wave function of the universe—it contains two branches, and we know the amplitude associated with each of them. But there is something that the actual people on these branches don’t know: which branch they’re on. This state of affairs, first emphasized in the quantum context by physicist Lev Vaidman, is called self-locating uncertainty—you know everything there is to know about the universe, except where you are within it.

[T]he wavefunction of the electron in [a] box can penetrate into the walls. If the walls aren’t too thick, the wavefunction can actually extend right through them, so that it still has a non-zero value on the outside. What this tells you is that there is a small chance – equal to the amplitude of the wavefunction squared in that part of space – that if you make a measurement of where the electron is, you might find it within the wall, or even outside the wall.

This cloud is often called a wave function, because it can oscillate like a wave, as the most probable measurement outcome changes over time. We usually denote a wave function by Ψ, the Greek letter Psi. For every possible measurement outcome, such as the position of the particle, the wave function assigns a specific number, called the amplitude associated with that outcome. The amplitude that a particle is at some position x0, for example, would be written Ψ(x0).

The death of Robert G. Ingersoll, on July 21, 1899, was one of the most widely -- noted events of that year in the civilized world. It was also one of the most widely and profoundly regretted, -- the most deeply deplored. Everywhere, the wisest knew (and the noblest felt) that the cause of humanity had met its greatest loss. To many thousands who realized the intellectual amplitude, the moral heroism and grandeur, the boundless generosity and sympathy, the tenderness and affection, of this incomparable man, his passing was as an intimate and bitter bereavement. Ingersoll was doubtless known, personally and otherwise, to more people than any other American who had not sat in the presidential chair; and, notwithstanding either the number or the wishes of his critics, his death probably brought genuine grief to more hearts than has that of any other individual in our history. Twice before, 'a Nation bowed and wept'; this time, a people.

Our own shadows disappear as the feet of thousands by the tens of thousands pound the fallow land into new dust that rising like a marvelous pollen will be fertile even as the first woman whispering imagination to the trees around her made for righteous fruit from such deliberate defense of life as no other still will claim inferior to any other safety in the world The whispers too they intimate to the inmost ear of every spirit now aroused they carousing in ferocious affirmation of all peaceable and loving amplitude sound a certainly unbounded heat from a baptismal smoke where yes there will be fire And the babies cease alarm as mothers raising arms and heart high as the stars so far unseen nevertheless hurl into the universe a moving force irreversible as light years traveling to the open eye And who will join this standing up and the ones who stood without sweet company will sing and sing back into the mountains and if necessary even under the sea we are the ones we have been waiting for

It is to be emphasized that no matter how many arrows we draw, add, or multiply, our objective is to calculate a single final arrow for the event. Mistakes are often made by physics students at first because they do not keep this important point in mind. They work for so long analyzing events involving a single photon that they begin to think that the arrow is somehow associated with the photon. But these arrows are probability amplitudes, that give, when squared, the probability of a complete event.

Por lo que a las novelas largas se refiere, salvo por algunas excepciones, me mostraba bastante desconfiado. Pero 'Jean-Christophe' -de Romain Rolland-, con su empecinado individualismo, sin mezquindad alguna, fue para mí una saludable revelación. Sin él, nunca hubiera conseguido comprender el esplendor y la amplitud del individualismo. Hasta aquel encuentro robado con 'Jean-Christophe', mi pobre cabeza educada y reeducada ignoraba, sencillamente, que fuera posible luchar en solitario contra el mundo entero".

At one dinner, Peter was telling the company that in Vienna he had been getting fat, but on his return the nature of the fare in Poland had made him quite slender again. The Polish ambassador, a man of great girth, disputed this, saying that he had been brought up in Poland and owed amplitude to the Polish diet. Peter shot back, “It was not in Poland, but here in Moscow that you crammed yourself”—the Pole, like all ambassadors, was provided with his food and expenses by the host government. The Pole, wisely, let the matter drop.

When there are two branches with unequal amplitudes, we say that there are only two worlds, but they don’t have equal weight; the one with higher amplitude counts for more. The weights of all the branches of any particular wave function always add up to one. And when one branch splits into two, we don’t simply “make more universe” by duplicating the existing one; the total weight of the two new worlds is equal to that of the single world we started with, and the overall weight stays the same. Worlds get thinner as branching proceeds.

Should the branching of our current selves into multiple future selves affect the choices we make? In the textbook view, there is a probability that one or another outcome happens when we observe a quantum system, while in Many-Worlds all outcomes happen, weighted by the amplitude squared of the wave function. Does the existence of all those extra worlds have implications for how we should act, personally or ethically? It’s not hard to imagine that it might, but upon careful consideration it turns out to matter much less than you might guess.

A source of white light-many colors mixed together-emits photons in a chaotic manner: the angle of the amplitude changes abruptly and irregularly in fits and starts. But when we construct a monochromatic source, we are making a device that has been carefully arranged so that the amplitude for a photon to be emitted at a certain time is easily calculated: it changes its angle at a constant speed, like a stopwatch hand. (Actually, this arrow turns at the same speed as the imaginary stopwatch we used before, but in the opposite direction-see Fig. 67.)

The world is no longer founded on atoms in the void, so the state of the world no longer consists of the positions and velocities of a lot of atoms. Instead, the world is the tremendous mutliple infinity of qubits just described. And to describe its state we must assign a number-a probability amplitude-to every possible configuration of the qubits. In our five-qubit toy model we found that the possible states filled out a space of thirty-two dimensions. The space we must use to describe the state of the Grid, which is our world, brings in infinities of infinities.

Rules of Quantum Mechanics (Part Two) There are certain observable quantities we can choose to measure, such as position, and when we do measure them, we obtain definite results. The probability of getting any one particular result can be calculated from the wave function. The wave function associates an amplitude with every possible measurement outcome; the probability for any outcome is the square of that amplitude. Upon measurement, the wave function collapses. However spread out it may have been pre-measurement, afterward it is concentrated on the result we obtained.

Systems with two possible measurement outcomes are so common and useful in quantum mechanics that they are given a cute name: qubits. The idea is that a classical “bit” has just two possible values, say, 0 and 1. A qubit (quantum bit) is a system that has two possible measurement outcomes, say, spin-up and spin-down along some specified axis. The state of a generic qubit is a superposition of both possibilities, each weighted by a complex number, the amplitude for each alternative. Quantum computers manipulate qubits in the same way that ordinary computers manipulate classical bits.

During the months of winter and spring King Casmir looked only twice at the infant princess, in each case, standing back in cool disinterest. She had thwarted his royal will by coming female into the world. He could not immediately punish her for the act, no more could he extend the full beneficence of his favor. Sollace grew sulky because Casmir was displeased and, with a set petulant flourishes, banished the child from her sight. Ehirme, a raw-boned peasant girl, and nice to under-gardener, had lost her own infant son to the yellow bloat. With an amplitude of both milk and solitude she be came Suldron's wet-nurse

Yo era aún lo bastante pequeño para dormir con mi madre, lo cual me parecía el único objetivo de la vida. Dormíamos los dos juntos en el dormitorio de la primera planta, en una cama con barrotes de latón, cortinas y colchón de borra (…) Tras la separación del día y la amplitud de la casa, yacíamos allí los dos solos y unidos. Aquella oscuridad me parecía el fruto del endrino, blando y denso al tacto, pero era una oscuridad de beatitud y languidez sencilla, en que todas las aristas parecían redondeadas, propias y ajustadas; y resultaba que aquella presencia por la que habías gemido y suspirado no había huido, después de todo.

Fire Fire In The Heavens Fire in the heavens, and fire along the hills, and fire made solid in the flinty stone, thick-mass'd or scatter'd pebble, fire that fills the breathless hour that lives in fire alone. This valley, long ago the patient bed of floods that carv'd its antient amplitude, in stillness of the Egyptian crypt outspread, endures to drown in noon-day's tyrant mood. Behind the veil of burning silence bound, vast life's innumerous busy littleness is hush'd in vague-conjectured blur of sound that dulls the brain with slumbrous weight, unless some dazzling puncture let the stridence throng in the cicada's torture-point of song.

Before leaving the earth altogether, let us as: How does Music stand with respect to its instruments, their pitches, the scales, modes and rows, repeating themselves from octave to octave, the chords, harmonies, and tonalities, the beats, meters, and rhythms, the degrees of amplitude (pianissimo, piano, mezzo-piano, mezzo-forte, forte, fortissimo)? Though the majority go each day to the schools where these matters are taught, they read when time permits of Cape Canaveral, Ghana, and Seoul. And they’ve heard tell of the music synthesizer, magnetic tape. They take for granted the dials on radios and television sets. A tardy art, the art of Music. And why so slow? Is it because, once having learned a notation of pitches and durations, musicians will not give up their Greek? Children have been modern artists for years now. What is it about Music that sends not only the young but adults too as far into the past as they can conveniently go? The module? But our choices never reached around the globe, and in our laziness, when we changed over to the twelve-tone system, we just took the pitches of the previous music as though we were moving into a furnished apartment and had no time to even take the pictures off the walls. What excuse? That nowadays things are happening so quickly that we become thoughtless? Or were we clairvoyant and knew ahead of time that the need for furniture of any kind would disappear? (Whatever you place there in front of you sits established in the air.) The thing that was irrelevant to the structures we formerly made, and this was what kept us breathing, was what took place within them. Their emptiness we took for what it was – a place where anything could happen. That was one of the reasons we were able when circumstances became inviting (chances in consciousness, etc.) to go outside, where breathing is child’s play: no walls, not even the glass ones which, though we could see through them, killed the birds while they were flying.

Individualism thrives in the prosaic world, the world of career choices and worldly accomplishment. The second-mountain ethos says, No, this is an enchanted world, a moral and emotional drama. Individualism accepts and assumes self-interest. The second-mountain ethos says that a worldview that focuses on self-interest doesn’t account for the full amplitude of the human person. We are capable of great acts of love that self-interest cannot fathom, and murderous acts of cruelty that self-interest cannot explain. Individualism says, The main activities of life are buying and selling. But you say, No, the main activity of life is giving. Human beings at their best are givers of gifts.

Light's Interrupted Amplitude All summer connotations fill this light, a symmetry of different scales—the site of fibrous silence, the velvet lace of iris, alders the moon can ignite. One feels the amplitude of grief, the pace of oscillating stars, power in place where time has crossed and left a breathy stain. A body needs the weight and thrust of grace. I want to parse the logic, spin and domain, the structure mourning will allow, the grain of certainty in two estates, the dance of perfect order, flowing toward its plane. That bird you see has caught a proper stance, unfaithful to its measure, a pert mischance of divination on the move, the trace of sacred darkness true to light's advance.

In order to change a belief or perception about yourself and your life, you have to make a decision with such firm intention that the choice carries an amplitude of energy that is greater than the hardwired programs in the brain and the emotional addiction in the body, and the body must respond to a new mind. When the choice creates a new inner experience that becomes greater than the past outer experience, it will rewrite the circuits in your brain and resignal your body emotionally. Since experiences create long-term memories, when the choice becomes an experience that you never forget, you are changed. Biologically, the past no longer exists. We could say that your body in that present moment is in a new future. Now

Now, let's look again at the partial reflection of light by a layer of glass. How does it work? I talked about light reflected from the front surface and the back surface. This idea of surfaces was a simplification I made in order to keep things easy at the beginning. Light is really not affected by surfaces. An incoming photon is scattered by the electrons in the atoms inside the glass, and a new photon comes back up to the detector. It's interesting that instead of adding up all the billions of tiny arrows that represent the amplitude for all the electrons inside the glass to scatter an incoming photon, we can add just two arrows-for the "front surface" and "back surface" reflections-and come out with the same answer. Let's see why.

A amizade foi, por muito tempo, uma virtude moral, uma das maiores. Isso só mudou com o nascimento da sociedade capitalista e, com ela, do individualismo e da competição. “A sociedade capitalista considerava a amizade como manifestação de ‘sentimentalismo’; portanto, como uma fraqueza de espírito completamente inútil e até nociva para a realização das tarefas de classe burguesas”, diz Kollontai (1982) em seu texto. O capitalismo e o patriarcado atribuíram ao amor o mesmo princípio de propriedade que regula o modo de vida em nossa sociedade até hoje. Amar, então, tornou-se sinônimo de posse: é preciso possuir o coração do ser amado. O amor nessa configuração perde sua amplitude e passa a ficar restrito às relações conjugais e familiares.

When you change a belief, you have to start by first accepting that it’s possible, then change your level of energy with the heightened emotion you read about earlier, and finally allow your biology to reorganize itself. It’s not necessary to think about how that biological reorganization will happen or when it’s going to happen; that’s the analytical mind at work, which pulls you back into a beta brain-wave state and makes you less suggestible. Instead, you just have to make a decision that has finality. And once the amplitude or energy of that decision becomes greater than the hardwired programs in your brain and the emotional addiction in your body, then you are greater than your past, your body will respond to a new mind, and you can effect real change.

Bumblebees detect the polarization of sunlight, invisible to uninstrumented humans; put vipers sense infrared radiation and detect temperature differences of 0.01C at a distance of half a meter; many insects can see ultraviolet light; some African freshwater fish generate a static electric field around themselves and sense intruders by slight perturbations induced in the field; dogs, sharks, and cicadas detect sounds wholly inaudible to humans; ordinary scorpions have micro--seismometers on their legs so they can detect in darkness the footsteps of a small insect a meter away; water scorpions sense their depth by measuring the hydrostatic pressure; a nubile female silkworm moth releases ten billionths of a gram of sex attractant per second, and draws to her every male for miles around; dolphins, whales, and bats use a kind of sonar for precision echo-location. The direction, range, and amplitude of sounds reflected by to echo-locating bats are systematically mapped onto adjacent areas of the bat brain. How does the bat perceive its echo-world? Carp and catfish have taste buds distributed over most of their bodies, as well as in their mouths; the nerves from all these sensors converge on massive sensory processing lobes in the brain, lobes unknown in other animals. how does a catfish view the world? What does it feel like to be inside its brain? There are reported cases in which a dog wags its tail and greets with joy a man it has never met before; he turns out to be the long-lost identical twin of the dog's "master", recognizable by his odor. What is the smell-world of a dog like? Magnetotactic bacteria contain within them tiny crystals of magnetite - an iron mineral known to early sailing ship navigators as lodenstone. The bacteria literally have internal compasses that align them along the Earth's magnetic field. The great churning dynamo of molten iron in the Earth's core - as far as we know, entirely unknown to uninstrumented humans - is a guiding reality for these microscopic beings. How does the Earth's magnetism feel to them? All these creatures may be automatons, or nearly so, but what astounding special powers they have, never granted to humans, or even to comic book superheroes. How different their view of the world must be, perceiving so much that we miss.

The neon orange orb sat low in the sky, slowly breaking free of the horizon like the waking memory of a dream. The salty air smelled faintly of fish, and was thick with humidity and hung like a cloak over my body. The lavender sky at the horizon faded into cerulean above and behind me. The soft breeze whispered past my face, teasing my hair on its way to tickle the sawgrass that swayed in gratitude as if laughing like a child.
 I sat on the top plank of the boardwalk rail, the wood heavy with atmosphere and was damp and cool under my left palm. The surprising warmth of the winter air and the cool of the wood reminded me that yes, I am alive! Yes, I am grateful for this morning! And yes, I am glad to be here!
 The paper in my notebook as I wrote this began to feel sticky and moist within a few minutes. The ink from my pen seemed to grip the paper faster and firmer as if to say, I’m here, I’m happy, and I don’t want to lose this moment. Like my ink, I too wanted to cling to this morning.
 The sky started turning a peachy orange at the bottom and the ocean was sea foam green. The waves were breaking quietly, as if to give my thoughts amplitude so I could record and rejoice in the sea’s majesty. 
 The sand was gray and silky like a freshly pressed pair of slacks. The smooth beach seemed paved with sunlight. A jogger ran by, his knees probably grateful for the even stride the flat surface provided. 
 Chunks of sea foam lay strewn on the beach like remnants of Poseidon’s nightly bubble bath. A seagull circled low in the air, gliding in the sky with its streamlined body as the sun lit its white wings up like an angel’s halo.

Suddenly thousands of raindrops fall before me. The movement of the expanding rings through the rosy water triggers some kind of trance. I watch the droplets transform into mini-swells of energy—varying wave amplitudes crossing over each other from all directions. Dynamic, chaotic, brilliant. Both infinite and finite at once. Time freezes and it feels as if my consciousness is floating. I am the raindrop, and the cloud, and the sky, and the setting sun. On this unusual frequency, I feel the connectedness of all things, a sensation of deep belonging. All one and simultaneously separate. Feeling becomes understanding—this great dichotomy dissolves. In this strange, brief moment, I am expansive like the Milky Way, minute like plankton, powerful like the tides, as solid as the volcanic crater, fragile like a spider’s web, patient like the trees, and empty as a cloudless sky.

Based on these interviews, he compiled a list of ten dimensions of complexity-ten pairs of apparently antithetical characteristics that are often both present in the creative minds. The list includes: 1. Bursts of impulsiveness that punctuate periods of quiet and rest. 2. Being smart yet extremely naive. 3. Large amplitude swings between extreme responsibility and irresponsibility. 4. A rooted sense of reality together with a hefty dose of fantasy and imagination. 5. Alternating periods of introversion and extroversion. 6. Being simultaneously humble and proud. 7. Psychological androgyny-no clear adherence to gender role stereotyping. 8. Being rebellious and iconoclastic yet respectful to the domain of expertise and its history. 9. Being on one had passionate but on the other objective about one's own work. 10. Experiencing suffering and pain mingled with exhilaration and enjoyment.

In the countdown to a millennium , a rise in apocalyptic thinking may be inevitable . Still , the amplitude of the fantasies of doom that AIDS has inspired can't be explained by the calendar alone , or even by the very real danger the illness represents. There is also the need for an apocalyptic scenario that is specific to “ Western ” society, and perhaps even more so to the United States. (America, as someone has said, is a nation with the soul of a church — an evangelical church prone to announcing radical endings and brand-new beginnings.) The taste for worst-case scenarios reflects the need to master fear of what is felt to be uncontrollable. It also expresses an imaginative complicity with disaster. The sense of cultural distress or failure gives rise to the desire for a clean sweep, a tabula rasa. No one wants a plague, of course. But, yes, it would be a chance to begin again. And beginning again — that is very modern, very American, too.

The backwards-moving electron when viewed with time moving forwards appears the same as an ordinary electron, except it's attracted to normal electrons-we say it has a "positive charge." (Had I included the effects of polarization, it would be apparent why the sign of j for the backwards-moving electron appears reversed, making the charge appear positive.) For this reason it's called a "positron." The positron is a sister particle to the electron, and is an example of an "anti-particle." This phenomenon is general. Every particle in Nature has an amplitude to move backwards in time, and therefore has an anti-particle. When a particle and its anti-particle collide, they annihilate each other and form other particles. (For positrons and electrons annihilating, it is usually a photon or two.) And what about photons? Photons look exactly the same in all respects when they travel backwards in time-as we saw earlier-so they are their own anti-particles. You see how clever we are at making an exception part of the rule!

Hymn to Mercury : Continued 71. Sudden he changed his plan, and with strange skill Subdued the strong Latonian, by the might Of winning music, to his mightier will; His left hand held the lyre, and in his right The plectrum struck the chords—unconquerable Up from beneath his hand in circling flight The gathering music rose—and sweet as Love The penetrating notes did live and move 72. Within the heart of great Apollo—he Listened with all his soul, and laughed for pleasure. Close to his side stood harping fearlessly The unabashed boy; and to the measure Of the sweet lyre, there followed loud and free His joyous voice; for he unlocked the treasure Of his deep song, illustrating the birth Of the bright Gods, and the dark desert Earth: 73. And how to the Immortals every one A portion was assigned of all that is; But chief Mnemosyne did Maia's son Clothe in the light of his loud melodies;— And, as each God was born or had begun, He in their order due and fit degrees Sung of his birth and being—and did move Apollo to unutterable love. 74. These words were winged with his swift delight: 'You heifer-stealing schemer, well do you Deserve that fifty oxen should requite Such minstrelsies as I have heard even now. Comrade of feasts, little contriving wight, One of your secrets I would gladly know, Whether the glorious power you now show forth Was folded up within you at your birth, 75. 'Or whether mortal taught or God inspired The power of unpremeditated song? Many divinest sounds have I admired, The Olympian Gods and mortal men among; But such a strain of wondrous, strange, untired, And soul-awakening music, sweet and strong, Yet did I never hear except from thee, Offspring of May, impostor Mercury! 76. 'What Muse, what skill, what unimagined use, What exercise of subtlest art, has given Thy songs such power?—for those who hear may choose From three, the choicest of the gifts of Heaven, Delight, and love, and sleep,—sweet sleep, whose dews Are sweeter than the balmy tears of even:— And I, who speak this praise, am that Apollo Whom the Olympian Muses ever follow: 77. 'And their delight is dance, and the blithe noise Of song and overflowing poesy; And sweet, even as desire, the liquid voice Of pipes, that fills the clear air thrillingly; But never did my inmost soul rejoice In this dear work of youthful revelry As now. I wonder at thee, son of Jove; Thy harpings and thy song are soft as love. 78. 'Now since thou hast, although so very small, Science of arts so glorious, thus I swear,— And let this cornel javelin, keen and tall, Witness between us what I promise here,— That I will lead thee to the Olympian Hall, Honoured and mighty, with thy mother dear, And many glorious gifts in joy will give thee, And even at the end will ne'er deceive thee.' 79. To whom thus Mercury with prudent speech:— 'Wisely hast thou inquired of my skill: I envy thee no thing I know to teach Even this day:—for both in word and will I would be gentle with thee; thou canst reach All things in thy wise spirit, and thy sill Is highest in Heaven among the sons of Jove, Who loves thee in the fulness of his love. 80. 'The Counsellor Supreme has given to thee Divinest gifts, out of the amplitude Of his profuse exhaustless treasury; By thee, 'tis said, the depths are understood Of his far voice; by thee the mystery Of all oracular fates,—and the dread mood Of the diviner is breathed up; even I— A child—perceive thy might and majesty.

Linguistic and musical sound systems illustrate a common theme in the study of music-language relations. On the surface, the two domains are dramatically different. Music uses pitch in ways that speech does not, and speech organizes timbre to a degree seldom seen in music. Yet beneath these differences lie deep connections in terms of cognitive and neural processing. Most notably, in both domains the mind interacts with one particular aspect of sound (pitch in music, and timbre in speech) to create a perceptually discretized system. Importantly, this perceptual discretization is not an automatic byproduct of human auditory perception. For example, linguistic and musical sequences present the ear with continuous variations in amplitude, yet loudness is not perceived in terms of discrete categories. Instead, the perceptual discretization of musical pitch and linguistic timbre reflects the activity of a powerful cognitive system, built to separate within-category sonic variation from differences that indicate a change in sound category. Although music and speech differ in the primary acoustic feature used for sound category formation, it appears that the mechanisms that create and maintain learned sound categories in the two domains may have a substantial degree of overlap. Such overlap has implications for both practical and theoretical issues surrounding human communicative development. In the 20th century, relations between spoken and musical sound systems were largely explored by artists. For example, the boundary between the domains played an important role in innovative works such as Schoenberg's Pierrot Lunaire and Reich's Different Trains (cf. Risset, 1991). In the 21st century, science is finally beginning to catch up, as relations between spoken and musical sound systems prove themselves to be a fruitful domain for research in cognitive neuroscience. Such work has already begun to yield new insights into our species' uniquely powerful communicative abilities.

Swann had walked on into the room, at the insistence of Mme. de Saint-Euverte, and, in order to hear a melody from Orphée that was being performed by a flautist, had placed himself in a corner where unfortunately his only view was of two mature ladies seated next to each other, the Marquise de Cambremer and the Vicomtesse de Franquetot, who, because they were cousins, spent their time when attending a party, clutching their bags and followed by their daughters, looking for each other as though in a railway station, and did not rest easy until they had reserved, with a fan or a handkerchief, two seats side by side: Mme. de Cambremer, since she had very few acquaintances, being all the happier to have a companion, Mme. de Franquetot, who was in contrast extremely well connected, believing there was something elegant, something original, about showing all her fine friends that she preferred, to their company, an obscure lady with whom she shared memories of her youth. Full of a melancholy irony, Swann watched them listen to the piano intermezzo (Saint Francis Speaking to the Birds by Liszt) which had come after the flute melody, and follow the vertiginous playing of the virtuoso, Mme. de Franquetot anxiously, her eyes wild as if the keys over which he ran with such agility were a series of trapezes from which he might fall from a height of eighty yards, and at the same time casting at her neighbour looks of astonishment, of denial which signified: ‘This is not to be believed, I would never have thought a man could do this,’ while Mme. de Cambremer, being a woman who had received a strong musical education, marked time with her head transformed into the arm of a metronome whose amplitude and rapidity of oscillations from one shoulder to the other had become such (with that sort of frenzy and abandon in the eyes characteristic of a kind of suffering which is no longer aware of itself nor tries to control itself and says ‘I can’t help it!’) that she kept snagging her solitaires in the straps of her bodice and was obliged to straighten the black grapes she had in her hair, though without ceasing to accelerate her motion.

The granite complex inside the Great Pyramid, therefore, is poised ready to convert vibrations from the Earth into electricity. What is lacking is a sufficient amount of energy to drive the beams and activate the piezoelectric properties within them. The ancients, though, had anticipated the need for more energy than what would be collected only within the King's Chamber. They had determined that they needed to tap into the vibrations of the Earth over a larger area inside the pyramid and deliver that energy to the power center—the King's Chamber —thereby substantially increasing the amplitude of the oscillations of the granite. Modern concert halls are designed and built to interact with the instruments performing within. They are huge musical instruments in themselves. The Great Pyramid can be seen as a huge musical instrument with each element designed to enhance the performance of the other. While modern research into architectural acoustics might focus predominantly upon minimizing the reverberation effects of sound in enclosed spaces, there is reason to believe that the ancient pyramid builders were attempting to achieve the opposite. The Grand Gallery, which is considered to be an architectural masterpiece, is an enclosed space in which resonators were installed in the slots along the ledge that runs the length of the gallery. As the Earth's vibration flowed through the Great Pyramid, the resonators converted the vibrational energy to airborne sound. By design, the angles and surfaces of the Grand Gallery walls and ceiling caused reflection of the sound, and its focus into the King's Chamber. Although the King's Chamber also was responding to the energy flowing through the pyramid, much of the energy would flow past it. The specific design and utility of the Grand Gallery was to transfer the energy flowing through a large area of the pyramid into the resonant King's Chamber. This sound was then focused into the granite resonating cavity at sufficient amplitude to drive the granite ceiling beams to oscillation. These beams, in turn, compelled the beams above them to resonate in harmonic sympathy. Thus, with the input of sound and the maximization of resonance, the entire granite complex, in effect, became a vibrating mass of energy.

By miracle I seem to have survived into this life of contentments, stripping away, giving up, letting go, while gaining immeasurably at every step. I’ve found a life spare in its delineations, yet rich in amplitude.

GAMMA When you sustain alpha brain waves, several other waves change. High-frequency beta waves, “the signature waves of stress,” shrink, decreasing in amplitude. Low-frequency waves, theta and delta, grow, increasing in amplitude. 4.21. Gamma are the waves in red at the very top of the screen. When these slow waves increase, the fastest wave, gamma, is produced by the brain. Gamma is the signature wave of the “flow” state and represents the synchronization of information from many different brain regions. It’s usually found in highly creative people, as well as ordinary people having a moment of insight. It’s also observed in states of mystical union. When studying advanced yogis, Davidson found that their brains had 25 times the gamma activity of ordinary people. Gamma is also associated with feelings of love and compassion, increased perceptual organization, associative learning, synaptic efficiency, healing, attention, and states of transcendent bliss. Neuroimaging studies have shown that gamma waves synchronize the four lobes of the brain across frequencies and engender whole-brain coherence.

Notice the types of temptations the masters faced. The first attack by the devil played on Jesus’s hunger. Mara presented the Buddha with his fears—everything that is going wrong. “The slings and arrows of outrageous fortune,” as Shakespeare put it. That’s the DMN’s specialty: dredging up everything that has gone wrong in your past or might go wrong in your future. That’s the first way the demon tries to tempt you out of Bliss Brain. Then the demon presented Buddha with every possible variant of sexual and sensual pleasure. The devil offered Jesus all the wonders of the world. That’s another way the demon tries to distract us out of focus. All the good things we might experience. If presenting you with all your fears fails, then presenting you with all your desires might succeed. There’s a final way the demon can yank us out of single-minded attention to focus. The brains of meditating monks show enormous amplitudes of gamma brain waves, about which we’ll learn more in Chapter 4. Gamma is the wave of insight and integration. In Bliss Brain, we have flashes of unparalleled insight. It’s a creative brainstorm. You get downloads of brilliant blog posts you could write, extraordinary art you could paint, scientific breakthroughs you could achieve, marketing magic you might create, and life circumstances you might enjoy. Yet going down these rabbit holes can be as much of a distraction as your fears and desires. It’s all about me. My safety, my pleasure, my body, my money, my health, my love life, my career. Of all the streaming video series our minds could tune in to, the Me Show is the most compelling. It’s the demon’s ultimate weapon of mass distraction. To reach and sustain Bliss Brain, it’s essential to do what the Buddha and Jesus did: remain in one-pointed focus.

En una conferencia con ocasión de los veinte años del Vaticano II, el padre Yves Congar sostiene que el Concilio se esforzó por responder a estas primeras manifestaciones de una crisis que se expandió en los años que lo siguieron. Habla de un «cambio socio-cultural cuya amplitud, radicalidad, rapidez y carácter cósmico no tienen equivalente en ningún otro período de la Historia»[7]

If a mouse rustles, a dog barks, or a tree falls in a forest, it produces waves of pressure that radiate outward. As these waves travel, the air molecules in their path repeatedly bunch up and spread out. These movements, which occur in the same direction as the wave’s line of travel, are what we call sound. The number of times the molecules compress and disperse in a second determines the sound’s frequency—its pitch, which is measured in hertz (Hz). The extent to which they move determines the sound’s amplitude—its loudness, which is measured in decibels (dB). Hearing is the sense that detects those movements. Your ear consists of three parts—the outer, middle, and inner ears. Your outer ear greets incoming sound waves, collecting them with a fleshy flap and sending them down the ear canal. At the end of the canal, they vibrate a thin, taut membrane called the eardrum. Those vibrations are amplified by the three small bones of the middle ear, which we met in the last chapter, and transmitted to the inner ear—specifically, into a long fluid-filled tube called the cochlea. There, the vibrations are finally detected by a strip of movement-sensitive hair cells, which send signals to the brain. A sound is heard.[*1]

Hay literalmente cientos de giros y vueltas en esto. Consideremos solo unos pocos: (1) Mantenga a sus clientes internos «sobreinformados»; mándeles tuits, correos electrónicos o mensajes instantáneos acerca de lo trivial y lo no tan trivial de su trabajo con sus clientes externos. Esfuércese todo lo que pueda para integrarlos a su equipo como iniciados «del círculo», ¡a todos nos encanta ser «iniciados»! (2) Deles a sus clientes internos «tiempo cara a cara» con sus clientes externos, ¡esto también es un mega-estímulo! (3) Si usted es el Gran Jefe, planee una convención-gala de «ventas» para el personal interno con mejor desempeño. Es decir, para aquellos en logística, ingeniería y finanzas que allanaron el camino para ventas gigantescas e hicieron un seguimiento a los servicios para clientes clave. (4) A todos (bueno, a la mayoría de nosotros) nos encantan los bolígrafos y los pasadores y (en mi caso, las gorras de béisbol. Después de una gran venta o de una entrega a tiempo, reparta una gran cantidad de esos bolígrafos, pasadores y gorras, conmemorando el éxito, al personal interno que apoyó la causa. (5) Por una parte, al igual las personas que contactan al cliente, queremos un gran número de C(I) «en nuestro bolsillo». Por otra parte, queremos que nuestros C(I) se unan a nosotros para comprometerse directamente y entusiasmarse con los C(E). Si realmente somos inteligentes, queremos ayudar a nuestros clientes internos a desarrollar, por ejemplo, la ingeniería, sus propias relaciones directas con los ingenieros de los clientes externos. En última instancia, todo consiste en la amplitud y en la profundidad de la red.

Cheers and catcalls rushed us like a wave breaking against the shoreline, engulfing us in a cocoon of wild energy. It had amplitude and emotion and was as addictive as anything I’d ever put into my body. It was energy exchange back and forth, an intimate conversation on another level between my soul and the hundreds in the crowd before

nature, and they had to accept nature in all its amplitude; these troubles were the age-old habit of respecting nature’s orders, accepting from it the enlightenment as well as the horror.

El desenlace dependerá de la amplitud de las reservas democráticas depositadas en la ciudadanía y en los partidos de oposición.

No centro do processo, a coerência e a veracidade contam muito menos que a amplitude da ressonância, que cobre o espectro inteiro das opiniões – daquelas que até recentemente reivindicavam carimbo de esquerda radical às que pertencem à extrema-direita.

Las capacidades (intelectuales y materiales) de la sociedad contemporánea son inmensamente mayores que nunca; lo que significa que la amplitud de la dominación de la sociedad sobre el individuo es inmensamente mayor que nunca.

Todos precisam de perdão, Sofia. Bem como de se harmonizar com as leis divinas. Esse é o primeiro passo para se livrar do peso inútil e começar a mudar a própria vibração. Não olhe mais para trás, somente para a frente. Perdoe-se e fortaleça o desejo de servir ao próximo, de ajudar, de contribuir com bem, para que ele prevaleça na Terra. Você experimentará a mudança de vibração que começará lentamente a se processar em seu interior no instante em que soltar toda a culpa e perdoar a si e aos outros. Com o tempo, verá que não há o que perdoar, terá compaixão por si e por todas as criaturas. Por trás de grande parte dos problemas no mundo há questões de perdão não concedido. Liberte-se e liberte aqueles que lhe devem. ​Sofia balançou a cabeça, finalmente compreendendo a amplitude e eficácia daquela atitude. E ali mesmo ela soltou tudo. Ao sair do quarto, beijou novamente o pai e a mãe, e disse: ​– Eu perdoo vocês e deixo-os livre da culpa. ​Depois foi até o quarto onde a filha dormia e beijou-lhe a face suave. ​– Até amanhã, minha filha. ​Ao retornar para casa, ela perguntou a Acabe: ​– Como conseguiu me perdoar? O que eu fiz... ​Ele pousou o dedo nos lábios dela, impedindo que ela continuasse:

sound can be defined as mechanical waves produced by a vibrating object that travel through a physical medium, like air, water or solid objects. Sound is a physical process, but it is also the perception of the brain that processes those mechanical waves and produces the experience we perceive as ‘sound.’ Sound has many of its own unique physical properties, such as frequency, speed, amplitude, duration, etc.

A team of scientists at the California Institute of Technology (Caltech) designed an ingenious experiment to determine if humans could detect energy fields similar to those of the earth. They hooked participants up to EEGs and confined them in a shielded room, screening out virtually all known sources of energy and radiation. They created a magnetic field generator that precisely mimicked the earth’s field. They then varied the direction of the magnetic field unpredictably, in very short bursts of one-tenth of a second. That’s too quick to be consciously detectable. The EEG recorded changes in brain wave amplitudes and frequencies throughout the experiment, which was repeated up to 100 times per subject. The investigators found drops in alpha waves of up to 60% whenever they changed the direction of the field. They conclude that “the human brain can detect Earth-strength magnetic fields, demonstrating that we have a sensory system that processes the geomagnetic field all around us.” The Caltech authors also noted: “We’ve known about the five basic senses: vision, hearing, touch, smell, and taste since ancient times, but this is the first discovery of an entirely new human sense in modern times.

«Los “T” podemos ir felizmente a hacerles preguntas a los “I” con el objetivo de ponerle el palito horizontal a la “T”. Tiendo a abordar un problema a través de una narrativa. Intuyo las principales preguntas que hay que hacer y si le haces esas preguntas a la gente que realmente conoce lo que hace, entonces te encontrarás en la misma situación en la que estarías si supieras tú misma esa información. Es como construir un mosaico. Voy poniendo un azulejo tras otro. Si estuviera en una red sin acceso a esa gente, lo mío no funcionaría»,

Readers want to be exercised, not informed. It's not the amplitude of the signal that matters, but how much it resonates.

El cernido de posibilidades ocurre en forma automática e inconsciente, puesto que depende de la sintergia del campo neuronal. Mientras mayor sea ésta, mayor será la amplitud de posibilidades de manifestación hasta el límite en donde el campo neuronal, en su máxima sintergia, se vuelve indistinguible de la estructura del pre-espacio y allí el quantum potentia se puede manifestar sin restricciones.

Life can be random or in order Your possibilities can be minimum The probability amplitude broader Whats your spiritual fodder? Soul centralised... miracles #Mickeymized!

False negatives, false positives, the moral algebra of fat men pushed in front of onrushing trolleys. The strident emotional belief that children made you happy, even when all the data pointed to misery. The high-amplitude fear of sharks and dark-skinned snipers who would never kill you; indifference to all the toxins and pesticides that could. The mind was so rotten with misrepresentation that in some cases it literally had to be damaged before it could make a truly rational decision—and should some brain-lesioned mother abandon her baby in a burning house in order to save two strangers from the same fire, the rest of the world would be more likely to call her a monster than laud the rationality of her lifeboat ethics. Hell, rationality itself—the exalted Human ability to reason—hadn’t evolved in the pursuit of truth but simply to win arguments, to gain control: to bend others, by means logical or sophistic, to your will.

Entrainment or the management of the body through the heart rather than brain leads to higher functioning mental and emotional states, as well as a healthier body.52 It also enables a person to screen the outer environment for “good messages” instead of “negative messages,” enabling a more positive relationship with the external world.53 This “heart healing power” is possible because of the energetic nature of the body. All energy contains information and all cells are energetic. The closer a group of cells, the more likely they are to oscillate or vibrate in a coordinated rhythm, thereby producing a more powerful and intense signal. Heart cells are tightly organized, thus generating an extremely strong, shared signal, which is both electrical and magnetic. The heart’s internal signal is stronger than any produced by other parts of the body because it is more intense. Thus can the heart dynamically move into the lead position in the body, its rhythms able to modulate or “take over” those of the other organs. What about its relationship with the external world? We are constantly receiving information—sometimes called “background noise”—from outside of ourselves. Not only can the heart override the incoming flow of communiqués, but it can also sort and filter information from the world outside of the body—even intuitive information. As explained by researcher Stephen Harrod Buhner in his book The Secret Teachings of Plants, highly synchronized cells, such as those compactly organized in the heart, are able to use background noise to increase the amplitude of an incoming signal—if they are interested in perceiving it.54 The heart will “hear” what it is programmed to “hear.” If love resides in the heart, it will attune to love. If fear, greed, or envy resides within, the heart will access negativity. Most people believe that the brain initiates the first response to incoming events and then orders our reactions. Analysis reveals, however, that incoming information first impacts the heart, and through the heart, the brain and then rest of the body.55 Our hearts are so strong that they can actually formulate the most well known symbol of love: light. Research has shown that under certain conditions, a meditator can actually generate visible light from the heart. The meditation technique must be heart-centered, not transcendent. When this occurred during studies at the University of Kassel in Germany in 1997, the heart emanated a sustained light of one hundred thousand photons per second, whereas the background had a count of only twenty photons per second. The meditations drew upon energetic understandings from several cultures, including the Hindu practice of kundalini.56 It has been said that the heart is the center of the body, but it might also be the core of a subtle universe—or perhaps a “subtle sun” generated by every individual.

We intuitively know that the heart is the center of love and empathy, and studies are showing this to be true. In fact, empathy manifests in the electromagnetic field (EMF), which is generated by the heart in amounts greater than anywhere else in the body. The heart’s EMF emits fifty thousand femtoteslas (a measure of EMF), in contrast to the ten generated by the brain.37 Other research shows that when separated from the magnetic field, the heart’s electrical field is sixty times greater in amplitude than the brain’s field.38 Through this field, a person’s nervous system tunes in to and responds to the magnetic fields produced by the hearts of other people.39 The heart’s field is therefore one of the means by which a practitioner affects patients. This effect leads to the question, What do you want to share? To generate positive outcomes for a patient, a practitioner must hold positive feelings in his or her own heart. Not only does good will profit the client, but it also benefits the practitioner as a person. A set of studies by researcher Dr. Rollin McCraty of the HeartMath Institute in California, and described in his e-book, The Energetic Heart, helps explain the importance of positive energy.40 For decades, scientists have known that information is encoded in the nervous system in the time intervals between activities or in the pattern of electrical activity. Recent studies also reveal that information is captured in hormone pulses. Moreover, there is a hormone pulse that coincides with heart rhythms, which means that information is also shared in the interbeat intervals of the pressure and electromagnetic waves produced by the heart. Negative emotions such as anger, frustration, or anxiety disturb the heart rhythm. Positive emotions such as appreciation, love, or compassion produce coherent or functional patterns. Feelings, distributed throughout the body, produce chemical changes within the entire system. Do you want to be a healthy person? Be sincerely positive as often as you can. You thus “increase the probability of maintaining coherence and reducing stress, even during challenging situations.”41 What you as a practitioner believe will be shared—everywhere and with everyone you meet.

siglos y ésa es una de las manifestaciones más flagrantes de lo que quiere decir la palabra civilización: un ritual compartido, en el que una pequeña colectividad, elevada espiritual, intelectual y emocionalmente por una vivencia común que anula momentáneamente todo lo que hay en ella de encono, miseria y violencia y exalta lo que alberga de generosidad, amplitud de visión y sentimiento, se trasciende a sí misma. Entre estas vivencias que hacen progresar de

Eu poderia ter o mesmo pai, a mesma mãe, ter freqüentado o mesmo colégio e tido os mesmos professores, e seria uma pessoa completamente diferente do que sou se não tivesse lido o que eu li. Foram os livros que me deram consciência da amplitude dos sentimentos. Foram os livros que me justificaram como ser humano. Foram os livros que destruíram um a um meus preconceitos. Foram os livros que me deram vontade de viajar. Foram os livros que me tornaram mais tolerante com as diferenças.

Para la mayoría de las personas, a menos que estemos en reposo, el cerebro está generando constantemente ondas beta que se pueden medir. Cuando estamos en reposo, el cerebro generalmente emite ondas alfa, que son más lentas y de mayor amplitud. Las alfa representan un estado de reposo, por lo que una meditación básica de relajación correspondería a un estado alfa.

For the thinkers of that school disregard the question whether a possibility, once entertained, may seem one day to correspond to some meagre arrangement of events. They give all their attention to the possibility itself and esteem it according to its amplitude and to the length of time for which it survives just beyond reach of the haphazard disposition of sights and sounds which is called, in careless speech, actuality, and has been considered, perhaps even by a few plainsmen, to represent the extinction of all possibilities.

You change the frequency and amplitude, and the cells move into a new spot right in front of your eyes,

El patrón respiratorio del modelo efector que obtuvimos para la rabia, se caracteriza por ciclos rítmicos de alta frecuencia y de gran amplitud, predominando la respiración abdominal. Siempre la describo como una respiración en "dientes de sierra". Se inspira y se espira por la nariz, dilatando y contrayendo bruscamente las fosas nasales.

Libchaber's spectrum diagrams showed vividly the precise pattern of period-doubling predicted by the theory. The spikes of new frequencies stand out clearly above the experimental noise. Feigenbaum's scaling theory predicted not only when and where the new frequencies would arrive but also how strong they would be-their amplitudes.

ALMACANTAR  (ALMACA'NTAR)   n.s.[An Arabick word, written variously by various authours; by D’Herbelot, almocantar; by others, almucantar.]A circle drawn parallel to the horizon. It is generally used in the plural,and means a series of parallel circles drawn through the several degrees of the meridian.   ALMACANTAR’S  (ALMACA'NTAR’S)  STAFF.n.s. An instrument commonly made of pear-tree or box, with an arch of fifteen degrees, used to take observations of the sun, about the time of its rising and setting, in order to find the amplitude, and consequently the variation of the compass.Chambers.

AMPLITUDE  (A'MPLITUDE)   n.s.[amplitude, Fr. amplitudo, Lat.]1. Extent. Whatever I look upon, within the amplitude of heaven and earth, is evidence of human ignorance.Glanville’sScepsis.2. Largeness;

Largeness; greatness. Men should learn how severe a thing the true inquisition of nature is, and accustom themselves, by the light of particulars, to enlarge their minds to the amplitude of the world, and not reduce the world to the narrowness of their minds.Bacon.3. Capacity.

Time behaves differently in super-fluids and black holes, this is related to light propagation. Particles lose their identity in both super-fluids and black holes. Waves only exist inside of time. The energy of a photon is stored as a rate of change in frequency and the number of times there is a change in direction instead of speed. Speed is the linear dimension and wave amplitude is one of the perpendicular dimensions and the digital horizon may not exist as a function of the way in which time is related to the other perpendicular dimension.

Hacer una pausa en lugar de llenar inmediatamente el espacio es una experiencia transformadora. Cuando esperamos, empezamos a conectar tanto con la inquietud fundamental como con la amplitud fundamental.

Real systems are, in this sense, "excitations of the vacuum"- much as surface waves in a pond are excitations of the pond's water. Just as the properties of water determine what amplitude and speed the waves are permitted, so the properties of the physical vacuum to find the possible excitations-the possible systems that can emerge from the physical vacuum. Water, just like the vacuum, contains the final reality as an initial possibility. The vacuum in itself is shapeless, but it may assume specific shapes: in so doing, it becomes a physical reality, a "real world.

The balance of nature’ does not exist, and perhaps never has existed. The numbers of wild animals are constantly varying to a greater or lesser extent, and the variations are usually irregular in period and always irregular in amplitude. Each variation in the numbers of one species causes direct and indirect repercussions on the numbers of the others, and since many of the latter are themselves independently varying in numbers, the resultant confusion is remarkable.”30 These were rumblings in what was soon to become a major paradigm shift in ecology from the balance of nature to the flux of nature.

Dirac's quantum mechanics thus allows us to do two things. First, to calculate which values a physical variable may assume. This is called "calculation of the spectrum of a variable"; it captures the granular nature of things. When an object (atom, electromagnetic field, molecule, pendulum, stone, star, and the like) interacts with something else, the values computed are those that its variables can assume in the interaction (relationism). The second thing that Dirac's quantum mechanics allows us to do is to compute the probability that this or that value of a variable appears at next interaction. This is called "calculation of an amplitude of transition." Probability expresses the third feature of the theory: indeterminacy, the fact that it does not give unique predictions, only probabilistic ones. This is Dirac's quantum mechanics: a recipe for calculating the probability that one or another value in the spectrum appears during an interaction. That's it. What happens between one interaction and the next is not mentioned in the theory. It does not exist.

Each incident of sexual harassment of woman at workplace results in violation of the fundamental rights of “Gender Equality” and the “Right to Life and Liberty”. It is a clear violation of the rights under Articles 14, 15 and 21 of the Constitution. One of the logical consequences of such an incident is also the violation of the victim's fundamental right under Article 19(1)(g). The meaning and content of the fundamental rights guaranteed in the Constitution of India are of sufficient amplitude to encompass all the facets of gender equality including prevention of sexual harassment or abuse

Fourier succeeded in proving a theorem concerning sine waves which astonished his, at first, incredulous contemporaries. He showed that any variation of a quantity with time can be accurately represented as the sum of a number of sinusoidal variations of different amplitudes, phases, and frequencies.

Pero lo que quizás algún día sea posible para muchos, el solitario puede prepararlo y construirlo con sus manos, que se equivocan, sí, pero menos. Por eso, querido señor, ame su soledad y soporte el dolor que causa. Que su queja resuene con belleza. Pues los que están cerca, dice usted, en realidad están lejos, lo cual demuestra que empieza a abrírsele una gran amplitud a su alrededor. Y cuando a sus seres próximos los sienta lejos, su amplitud lindará ya con las estrellas y será grande;

Pero lo que quizás algún día sea posible para muchos, el solitario puede prepararlo y construirlo con sus manos, que se equivocan, sí, pero menos. Por eso, querido señor, ame su soledad y soporte el dolor que causa. Que su queja resuene con belleza. Pues los que están cerca, dice usted, en realidad están lejos, lo cual demuestra que empieza a abrírsele una gran amplitud a su alrededor. Y cuando a sus seres próximos los sienta lejos, su amplitud lindará ya con las estrellas y será grande; alégrese de su propio crecimiento: en él no podrá llevar a nadie consigo, y sea tolerante con los que quedan rezagados. Muéstrese tranquilo y seguro ante ellos. No les atormente con sus dudas y no les asuste con su confianza o con su inmensa alegría. No las pueden entender. Busque compartir con ellos algún tipo de camaradería sencilla y sincera, que no cambiará forzosamente cuando usted se transforme. Ame en ellos la vida que se le presenta en forma extraña y sea indulgente con los que envejecen y temen la soledad, en la que justamente usted confía. Evite incrementar el drama siempre tenso entre padres e hijos. Les roba mucha fuerza a los hijos y agota el amor de los padres, que es eficaz y cálido, aunque no comprenda. No les exija ningún consejo y no cuente con ninguna comprensión de su parte, pero crea en su amor que le ha sido reservado como una herencia: en ese amor hay una fuerza y una bendición, de las que no tendrá necesidad de salirse para ir muy lejos.

the same general structure as that seen in the onset of El Niño, and the amplitudes are large enough to account for a large part of the observed composite El Niño warming (see Rasmusson and Carpenter 1982, Harrison and Larkin 1998). There is no waveguide warming

Los esposos que se aman y se pertenecen, hablan bien el uno del otro, intentan mostrar el lado bueno del cónyuge más allá de sus debilidades y errores. En todo caso, guardan silencio para no dañar su imagen. Pero no es sólo un gesto externo, sino que brota de una actitud interna. Tampoco es la ingenuidad de quien pretende no ver las dificultades y los puntos débiles del otro, sino la amplitud de miras de quien coloca esas debilidades y errores en su contexto.

por la que entra una luz clara y gris como la de los cuadros de Vermeer, en los que siempre hay habitaciones que protegen cálidamente de la intemperie a sus ensimismados habitantes y en las que algo les recuerda la amplitud

Hay quien ha dicho que el prestigio de una especialidad biosanitaria es inversamente proporcional a la amplitud del campo que tal especialidad pretende abarcar. Si fuese así, la Medicina Preventiva y Salud Pública tendría el récord del desprestigio.

Tengo la sensación de que vivimos en una Sociedad que observa las cosas de una manera muy superficial. Nuestra mirada revolotea de aquí para allá y normalmente sólo se para ante lo que nos parece sorprendente. Hoy falta alcance para ver más allá de lo aparente, falta profundidad para reflexionar sobre las realidades más importantes de la vida y, falta amplitud para descubrir la manera en la que todo está interconectado “, pag. 23.

Probability amplitudes are very strange, and the first thing you think is that the strange new ideas are clearly cock-eyed. Yet everything that can be deduced from the ideas of the existence of quantum mechanical probability amplitudes, strange though they are, do work, throughout the long list of strange particles, one hundred per cent. Therefore I do not believe that when we find out the inner guts of the composition of the world we shall find these ideas are wrong. I think this part is right, but I am only guessing: I am telling you how I guess.

Fire In The Heavens Fire in the heavens, and fire along the hills, and fire made solid in the flinty stone, thick-mass'd or scatter'd pebble, fire that fills the breathless hour that lives in fire alone. This valley, long ago the patient bed of floods that carv'd its antient amplitude, in stillness of the Egyptian crypt outspread, endures to drown in noon-day's tyrant mood. Behind the veil of burning silence bound, vast life's innumerous busy littleness is hush'd in vague-conjectured blur of sound that dulls the brain with slumbrous weight, unless some dazzling puncture let the stridence throng in the cicada's torture-point of song.

425. O sonambulismo natural tem alguma relação com os sonhos? Como explicá-lo? “É um estado de independência do Espírito, mais completo do que no sonho, estado em que maior amplitude adquirem suas faculdades. A alma tem então percepções de que não dispõe no sonho, que é um estado de sonambulismo imperfeito. No sonambulismo, o Espírito está na posse plena de si mesmo.

How unfair is it that snowboarding guys can look as skanky as they want? If they don't shower for five days, who cares? So long as they tweak out more amplitude than than the next guy, go bigger and cleaner, they could be the scroungiest dirtballs on the slopes and still score sponsorships. But girls? No matter how good their tricks are, how high their jumps go, the pro snowboarding girls have got to work their sex appeal, watch their figures, stay in shape in season and out. Their bodies, not just their skills, make them marketable: boobs on boards.

A picture of Pushkin greeted me everywhere I looked. Even near the mysterious little brick booth with the “Inflammable!” sign. The similarity was confined to the sideburns. Their amplitude varied indiscriminately. I noticed long ago that our artists favour certain objects that place no restriction on the scale or the imagination. At the top of the list are Karl Marx’s beard and Lenin’s forehead…

Era mais uma carta que acabava no lixo, e não no correio. A tristeza é preguenta, ela havia escrito. Não queria pregá-la na mãe. Mesmo porque sua tristeza passava logo. Sempre passava. Ainda que deixasse seu lastro. Um sedimento no fundo de sua alma, partículas de um peso. Peso que não chegava a contaminar seu jeito leve de ser, mas tornava seu olhar mais grave e a fazia perceber o que não percebia antes, a amplitude dos problemas do mundo. Talvez fosse esse o peso do amadurecimento.

Ela encostou-lhe a boca ao ventre e ele sentiu contrair-se-lhe o sexo sob as carícias dela, refugiar-se no seu interior, fugir diante dela, cada vez mais pequeno, cada vez mais ansioso. E sabia que Kamila media pela recusa do seu corpo a amplitude do seu amor por outra mulher. Sabia que ela estava a fazer-se sofrer horrivelmente e que quanto mais sofresse mais o faria sofrer e mais se obstinaria em toca com os lábios húmidos o seu corpo sem força.

The cathode-ray tube (CRT) was a form of analog computer: varying the voltages to the deflection coils varied the path traced by the electron beam. The CRT, especially in its incarnation as an oscilloscope, could be used to add, subtract, multiply, and divide signals—the results being displayed directly as a function of the amplitude of the deflection and its frequency in time. From these analog beginnings, the digital universe took form.

Primeiro: o movimento interno que unifica os elementos do método e os excede em amplitude de humanismo pedagógico. Segundo: esse movimento reproduz e manifesta o processo histórico em que o homem se reconhece. Terceiro: os rumos possíveis desse processo são possíveis projetos e, por conseguinte, a conscientização não é apenas conhecimento ou reconhecimento, mas opção, decisão, compromisso.

The subarctic world of the Koyukon is dominated by physical forces that may be incomprehensible to an inexperienced outsider. If the spiritual powers of this environment seem ethereal, its physical powers are the opposite. The land itself is massive, both in its extent and in the amplitude of its up-thrown mountains. Great rivers carve the terrain, running each spring with a chaos of fractured ice, periodically spilling over their banks to submerge the flats and make islands of the hills. The summer day lasts for months yet is too short against winter's darkness. And finally the weather, the omnipotent cold, the snow and storms, and the brief summer heat, when forests are set afire by passing thunderstorms.

Follow your bliss and you will come to the end of the Way. Bliss -- or joy, as I prefer to call it-- is the heart struck by the truth of its own nature. The Sri Yantra, the ancient Hindu symbol for OM, the vibration of the Universe, represents this note sustained at its fullest possible amplitude. You don’t need to believe or understand this. All you need to do is to follow the smile of your own joy. As Mary Oliver so kindly observes, “You only have to let the soft animal of your body love what it loves.” You only need to move toward your own joy as a plant’s leaves seek the light, as her roots seek moisture. Only in this way will you, can you, discover what is written on your own seed packet, who you really are.

driven responses. It is the healthy development of the right orbitofrontal cortex and its links to the amygdala that enables us to have a wide window of tolerance for intense emotions and to respond flexibly and adaptively to our interpersonal world. Next, Sieff asked how the relationship between an infant and its caregiver shape the development of the emotional right brain. Schore answered that genes code for when the various components of the emotional brain come on-line, but how each area develops depends on the infant’s epigenetically shaped emotional experiences with his primary caregiver. Those experiences, as John Bowlby first described, are circumscribed by the infant’s innate drive to become emotionally bonded to his or her primary caregiver. The infant’s experiences with his caregiver are internalized through changes in his rapidly developing brain. Typically, an attuned caregiver will minimize the infant’s discomfort, fear and pain, and, as importantly, creates opportunities for the child to feel joy and excitement. The caregiver will also mediate the transition between these emotional states. Mirroring by the attuned caretaker amplifies the infant’s emotional state. In physics, when two systems match it creates what is called “resonance,” whereby the amplitude of each system is increased, comparable to face-to-face play between an infant and an attuned caretaker who creates emotional resonance and amplifies joy. Together, infant and mother move from low arousal to high positive arousal which helps the infant to extend his window of tolerance for intense positive emotions, a key developmental task. At other times the emotional intensity becomes more than the infant can tolerate, and he will avert his gaze. When this happens, an attuned mother intuitively disengages from the infant and reduces her stimulation. Then she waits for her baby to signal his readiness to re-engage. The more the mother tunes her activity level to the infant during periods of engagement and the more she allows him to recover quietly in periods of disengagement, and the

Ripeness and amplitude were the first and most essential ingredients of true comeliness. Men liked to grasp something substantial when in a mood to do so: this was Queen Sollace's experience.

Nunca he llegado a tener afinidad ni a sentirme realmente cómodo con personas que no leen o que nunca han leído. Para mí es un requisito esencial. De lo contrario echo en falta algo, amplitud de miras, noción de la historia, una sintonía compartida. Los libros son contraseñas.

know that building’s been empty for a year,” Daisy said uneasily, “but how—?” “Sh! Watch! Now!” The looming building seemed to blur or fuzz for a moment. Then it was as if the lake’s bright ripples had invaded the old glass a hundred yards away. Wavelets chased themselves up and down the gleaming walls, became higher, higher … and then suddenly the glass cracked all over to tiny fragments and fell away, to be followed quickly by fragmented concrete and plastic and plastic piping, until all that was left was the nude steel framework, vibrating so rapidly as to be almost invisible against the gleaming lake. Daisy covered her ears, but there was no explosion, only a long-drawn-out low crash as the fragments hit twenty floors below and dust whooshed out sideways. “Spectacular!” Fay summed up. “Knew you’d enjoy it. That little trick was first conceived by the great Tesla during his last fruity years. Research discovered it in his biog—we just made the dream come true. A tiny resonance device you could carry in your belt-bag attunes itself to the natural harmonic of a structure and then increases amplitude by tiny pushes exactly in time. Just like soldiers marching in step can break down a bridge, only this is as if it were being done by one marching ant.” He

Expanded Consciousness may be considered in terms of "Nodal Synchrony" [Nodal: intersection pathways. Synchrony: occurring simultaneously] and in most cases considered in terms of harmonics [at a fixed interval, produced by vibration of a string, column of air, etc. in an exact fraction of its length] where they vibrate together using similar carrier waves [a high-frequency electromagnetic wave modulated in amplitude or frequency to convey a signal].

The Heart Energy Amplitude Recognition Test Dr. Paul Pearsall—President & CEO—Ho’ala Hou (To Reawaken), Inc. SCORING 0=Never 1=Almost Never 2=More Than Sometimes 3=A Lot 4=Almost Always ___1. Are you in a hurry? (Have you looked ahead on this test?)

In fact, so powerful was his theory that he saw a regularity that did not exist. He contended that a pendulum of a given length not only keeps precise time but keeps the same time no matter how wide or narrow the angle of its swing. A wide-swinging pendulum has farther to travel, but it happens to travel just that much faster. In other words, its period remains independent of its amplitude. “If two friends shall set themselves to count the oscillations, one counting the wide ones and the other the narrow, they will see that they may count not just tens, but even hundreds, without disagreeing by even one, or part of one.” Galileo phrased his claim in terms of experimentation, but the theory made it convincing—so much so that it is still taught as gospel in most high school physics courses. But it is wrong. The regularity Galileo saw is only an approximation. The changing angle of the bob’s motion creates a slight nonlinearity in the equations. At low amplitudes, the error is almost nonexistent. But it is there, and it is measurable even in an experiment as crude as the one Galileo describes.

Regulators misused PCR tests that CDC belatedly admitted in August 2021 were incapable of distinguishing COVID from other viral illnesses. Dr. Fauci tolerated their use at inappropriately high amplitudes of 37 and up to 45, even though Fauci had told Vince Racaniello that tests employing cycle thresholds of 35 and above were very unlikely to indicate the presence of live virus that could replicate.25 In July 2020, Fauci remarked that at these levels, a positive result is “just dead nucleotides, period,”26 yet did nothing to modify testing so it might be more accurate. As America’s COVID czar, Dr. Fauci never complained about CDC’s decision to skip autopsies from deaths attributed to vaccines. This practice allowed CDC to persistently claim that all deaths following vaccination were “unrelated to vaccination.

How does electrolocation work, and what can we say about its representational and phenomenological qualities? Constant electric organ discharges emanating from the caudal region maintain a stable spatial voltage pattern over the skin surface. This voltage pattern changes when objects that have a resistance different from the surrounding water come within range of the signal and distort the field, resulting in changes of local electric voltages at particular skin loci. Objects can alter the stable electric discharge field in waveform and/or in amplitude, and weakly electric fish can detect both types of disruptions. These changes in local transepidermal electric current flow are recorded by the skin electroreceptors, which act as a 'retina' upon which an electric image of the object is projected. This image is then transduced, and the information is fed to regions of the brain that process higher-order features of objects. Whereas in humans the processing of higher-order features of objects take place in the cerebral cortex, in electrolocating fish these cognitive tasks are carried out in their hypertrophied cerebellum. The 'mormyrocerebellum' is so oversized that it accounts for the vast majority of the organism's total oxygen consumption, with metabolic expenditures exceeding that of any vertebrate. This, in turn, speaks to the great functional utility of electrolocation: all that brain stuff must be doing something computationally demanding and ecologically important.

Sí, es probable que la amplitud de experiencias sea necesaria y deseable cuando eres joven, después de todo, debes salir y descubrir por ti mismo aquello en lo que vale la pena involucrarte. Pero es en la profundidad donde se esconde el oro, y tienes que mantenerte comprometido con algo y profundizar en ello para poder encontrarlo. Esto aplica para las relaciones, la carrera, para construir un gran estilo de vida . . . para todo.

Por consiguiente, si la producción de los medios de subsistencia que cada día consume el obrero, término medio, requiere 6 horas, éste habrá de trabajar 6 horas por día, de promedio, para producir diariamente su fuerza de trabajo o reproducir el valor obtenido mediante la venta de la misma. La parte necesaria de su jornada laboral asciende entonces a 6 horas, y por ende, permaneciendo incambiadas las demás circunstancias, es una magnitud dada. Pero con esto no está todavía dada la extensión de la jornada laboral misma. (...) La jornada laboral no es, por tanto, una magnitud constante sino variable. Una de sus partes, ciertamente, se halla determinada por el tiempo de trabajo requerido para la reproducción constante del obrero mismo, pero su magnitud global varía con la extensión o duración del plustrabajo. Por consiguiente, la jornada laboral es determinable, pero en sí y para sí indeterminada (...)El hombre necesita tiempo para la satisfacción de necesidades espirituales y sociales, cuya amplitud y número dependen del nivel alcanzado en general por la civilización. La variación de la jornada laboral oscila pues dentro de límites físicos y sociales. Unos y otros son, sin embargo, de naturaleza muy elástica y permiten la libertad de movimientos. Encontramos, así, jornadas laborales de 8, 10, 12, 14, 16, 18 horas, o sea de las extensiones más disímiles.

Dirac’s quantum mechanics thus allows us to do two things. First, to calculate which values a physical variable may assume. This is called “calculation of the spectrum of a variable”; it captures the granular nature of things. When an object (atom, electromagnetic field, molecule, pendulum, stone, star, and the like) interacts with something else, the values computed are those that its variables can assume in the interaction (relationism). The second thing that Dirac’s quantum mechanics allows us to do is to compute the probability that this or that value of a variable appears at next interaction. This is called “calculation of an amplitude of transition.” Probability expresses the third feature of the theory: indeterminacy, the fact that it does not give unique predictions, only probabilistic ones.

The widespread occurrence of the Kuramoto model raises the question of why this particular mathematical structure should be so common. To be honest, it probably isn’t all that common. I have focused on it because it is the only case of spontaneous synchrony we understand well. On theoretical grounds, one can show that it arises only whenever four specific conditions are met, and is not expected otherwise. First, the system in question must be built from an enormous number of components, each of which is a self-sustained oscillator. That is already a strong constraint. The individual elements must have extremely simple dynamics: pure rhythmicity along a standard cycle, without chaos or turbulence or anything complicated, just repetitive motion. Second, the oscillators must be weakly coupled, in the sense that the state of each oscillator can be characterized by its phase alone. If the coupling is strong enough to distort any oscillator’s amplitude significantly, the Kuramoto model will not apply. The third condition is the most restrictive: Each oscillator must be coupled equally strongly to all the others. Very few systems in nature are literally like that. Oscillators normally interact most strongly with their neighbors in space, or with a collection of virtual neighbors defined by a network of mutual influence. Finally, the oscillators must be nearly identical, and the amount of dispersion in their properties should be comparable to the weakness of their coupling.

Las semillas de la sabiduría no pueden germinar y crecer en un ambiente asfixiante. Para vivir y adquirir experiencia, la mente necesita amplitud y profundidad, y referencias que la atraigan hacia el Alma de Diamante.

electrical conductivity of the solid and μ its permeability. On the other hand, the propagation of many (but certainly not all) types of waves is governed by the so-called wave equation. For example, small-amplitude

One of the reasons we can make such sweeping statements with such confidence is a feature of QFT known as crossing symmetry. This is not a symmetry of physical fields but of the Feynman diagrams we use to describe their interactions. Roughly it says we can rotate any diagram by 90 degrees—converting particles to antiparticles when their direction in time gets reversed—and get another diagram with an equal amplitude.

Christ, in the council and covenant of grace and peace, asked many things of his Father, which were granted; he asked for the persons of all the elect to be his bride and spouse, and his heart's desire was given him, and the request of his lips was not withheld from him: he asked for all the blessings of grace for them; for spiritual life here, and eternal life hereafter; and all were given him, and put into his hands for them, Ps 20:2; and here it is promised him, and I shall give thee the Heathen for thine inheritance, and the uttermost parts of the earth for thy possession; by "the Heathen", and "the uttermost parts of the earth", are meant God's elect among the Gentiles, and who live in the distant parts of the world; which are Christ's other sheep, the Father has given to him as his portion, and whom he has made his care and charge: as if it was not enough that he should be King of Zion, or have the government over his chosen ones among the Jews, he commits into his hands the Gentiles also; see Isa 49:6; and these are given him as his inheritance and possession, as his portion, to be enjoyed by him; and who esteems them as such, and reckons them a goodly heritage, and a peculiar treasure, his jewels, and the apple of his eye. These words respect the calling of the Gentiles under the Gospel dispensation; and the amplitude of Christ's kingdom in all the earth, which shall be from sea to sea, and from the rivers to the ends of the earth.

A sine wave is a rather simple sort of variation with time. It can be characterized, or described, or differentiated completely from any other sine wave by means of just three quantities. One of these is the maximum height above zero, called the amplitude. Another is the time at which the maximum is reached, which is specified as the phase. The third is the time T between maxima, called the period. Usually, we use instead of the period the reciprocal of the period called the frequency, denoted by the letter f. If the period T of a sine wave is 1/100 second, the frequency f is 100 cycles per second, abbreviated cps. A cycle is a complete variation from crest, through trough, and back to crest again. The sine wave is periodic in that one variation from crest through trough to crest again is just like any other.

a steady sinusoidal component of constant amplitude.

He showed that any variation of a quantity with time can be accurately represented as the sum of a number of sinusoidal variations of different amplitudes, phases, and frequencies. The quantity concerned might be the displacement of a vibrating string, the height of the surface of a rough ocean, the temperature of an electric iron, or the current or voltage in a telephone or telegraph wire. All are amenable to Fourier’s analysis.

In fact, the circuit may fail entirely to transmit sine waves of some frequencies. Thus, corresponding to an input signal made up of several sinusoidal components, there will be an output signal having components of the same frequencies but of different relative phases or delays and of different amplitudes.

Thus, in general the shape of the output signal will be different from the shape of the input signal. However, the difference can be thought of as caused by the changes in the relative delays and amplitudes of the various components, differences associated with their different frequencies. If the attenuation and delay of a circuit is the same for all frequencies, the shape of the output wave will be the same as that of the input wave; such a circuit is distortionless.

Cuando la Asamblea determinó que las monedas de plata llevasen las efigies de Bolívar y Sucre, el mariscal se opuso a que se grabase la suya. No fue escuchado. Pero el día en que se le señaló un sueldo de treinta y seis mil pesos anuales, lo rechazó y obtuvo que no se le pagaran sino veinte mil. Empezó así, a parecer, a hacer teatro, a traicionarse. Por suerte para él, se detuvo a tiempo. El teatralizar y la demagogia van juntos. Ya había dictado el Presidente varias disposiciones relativas al clero. Sucre era firme liberal y obraba dentro del criterio de una absoluta tolerancia religiosa para los pueblos. Así, los dineros destinados a obras pías los entregó a la educación pública; suprimió claustros menores; dio la ley del Patronato Eclesiástico, eliminó los conventos de San Agustín y Santo Domingo. Por ende, obra espontánea apareció, a los ojos de muchos, su célebre orden de exclaustración de las monjas y frailes que así lo quisieran. No que Sucre fuese anticatólico, sino que sus convicciones exigían esas vigencias ricas en amplitud. Una carta suya al Papa dejó constante que el Gobierno boliviano lo reconocía como jefe de la iglesia católica en el país. León XII correspondió con la bendición apostólica.

It is no exaggeration to say that all phenomena are considered by con- temporary science to be examples of amplitude positions within a radi- ation continuum. One of the most interesting aspects of late twentieth- century science was the reappearance of the Pythagorean doctrine of the vibratory harmony of matter, that all things are the result of harmonic ratios. “Superstring” theory proposes that all fun-damental particles (elec- trons, quarks, leptons, muons, etc.) are but differing vibratory frequencies of a single filamentous string. According to this latest development in theoretical physics the entities that are the ultimate constituents of atoms are but differing vibratory levels of a single substratum imagined as a string or line. Matter, then, actualizes the form of an image observed in an oscilloscope: a single line forms on the screen (its lowest vibratory state), which, when “energized,” begins to change shape into a wave (an electron perhaps) that eventually becomes a chaotic, spaghetti-like image observed at its highest vibratory level. In superstring theory each level of vibration, from undisturbed filament to violent spaghetti-chaos (and all states in be- tween), represents some fundamental particle.

As you move along the pattern, you see the medium moving up and down by an amount called the “amplitude” of the wave. If you measure the distance between two neighboring crests of the wave (or two troughs), you’ve measured the “wavelength,” which is one of the numbers used to describe a wave.

Alfred Delbern put forward the idea that there was no such thing as the death of sound; that it never died but diminished in amplitude. He had a friend who believed, for example, that Stonehenge was a repository of dormant sound, and that if you invented the right device you could uncover lost music. What would the music in the stones of a Gothic cathedral sound like?

Apenas sabe el Presidente que ha llegado Sucre a Guayaquil, confíale el mando militar para la guerra con una amplitud tal que no se registra nada parecido en la Historia: "Todos mis poderes, buenos y malos, los delego en usted. Haga usted la guerra, haga usted la paz, salve o pierda al Sur, usted es el árbitro de sus destinos".

Era asombrosa la amplitud de lo que uno mismo era capaz de no ver tan solo empeñándose en una ceguera más rigurosa todavía porque era voluntaria.

When there are too many physician-patient interactions, the amplitude gets turned up on everything,” he says. “More people with non-fatal problems are taking more medications and having more procedures, many of which are not really helpful and a few of which are harmful, while the people with really fatal illnesses are rarely cured and ultimately die anyway.” So it may be that going to the hospital slightly increases your odds of surviving if you’ve got a serious problem but increases your odds of dying if you don’t. Such are the vagaries of life.

Rodríguez y dos más –Ambrosio Lozier y Juan José Arteaga– presentan el Informe, redactado por el maestro venezolano: No quedó un solo edificio ileso: el mayor número de techos se hundió y ayudó a volcar las paredes [...] Concepción tiene sus defectos: un malísimo suelo; no se escurren las aguas; el alimento más expuesto a alterarse es el agua; le faltan objetos agradables [...] La Comisión omite entrar en pormenores de práctica que no todos entienden, para responder a algunos cargos que varias personas han hecho. La Comisión ha entrado únicamente en explicaciones científicas. Observaciones hechas con conocimiento son razones y no pareceres u opiniones. No es de creer que personas sensatas tachen de puras teorías los resultados de la experiencia. También en los científicos aparece la bestia acosante. Pero el Informe es un estudio geofísico integral y puede sostenerse, por lo mismo. Como ya antes, en el proyecto de desviación del río Vincocaya, en Arequipa, el maestro caraqueño demuestra que posee muy en amplitud conocimientos de física, planimetría, mecánica, geología, geografía y varios de los ramos de ingeniería.

I fear that people may look back at the decline of 2008 and the recovery that followed and conclude that declines can always be depended on to be recouped promptly and easily, and thus there’s nothing to worry about from down-cycles. But I think those are the wrong lessons from the Crisis, since the outcome that actually occurred was so much better than some of the “alternative histories” (as Nassim Nicholas Taleb calls them) that could have occurred instead. And if those incorrect lessons are the ones that are learned, as I believe they may have been, then they’re likely to bring on behavior that increases the amplitude of another dramatic boom/bust cycle someday, maybe one with more serious and long-lasting ramifications for investors and for all of society.

que te muevas más desde un punto de vista de cantidad, por supuesto, pero también de frecuencia, amplitud, complejidad y diversidad, haciéndolo a propósito y a conciencia, siempre motivado, dueño de tus decisiones y acciones, comprometido con tu cuerpo —es decir, contigo mismo—.

Según Godin, los ganadores (entendiendo por tales a personas que han llegado a la cúspide de su dominio) abandonan a menudo y rápidamente, en cuanto detectan que un plan no es para ellos, y no se sienten mal al respecto. «Fracasamos cuando permanecemos en actividades que seguimos haciendo solo porque no tenemos agallas para abandonar.

La casa de los Leal era pequeña, antigua, modesta, ávida de pintura y remiendos. De noche crujía suavemente, como una anciana cansada y reumática. Fue diseñada por el Profesor Leal muchos años antes, pensando que lo único indispensable era una amplia cocina donde transcurriera la vida y donde instalar una imprenta clandestina, un patio para colgar la ropa y sentarse a mirar los pájaros y suficientes cuartos para poner las camas de sus hijos. Lo demás dependía de la amplitud del espíritu y la viveza del intelecto, decía quando alguien reclamaba por la estrechez o la modestia.

me encuentro profundamente conmovido y tan genuinamente impresionado como lo estaría un lector nuevo por la magnitud, el alcance, la amplitud y la visión de este impresionante diálogo.

what they will scatter into. The “particles” are actually vibrations in quantum fields, but that’s okay. Because it’s quantum mechanics we’re talking about here, the prediction will not be deterministic. We’ll calculate the amplitude for different conceivable scattering outcomes and then square that amplitude according to the Born rule to obtain the corresponding probability.

Feynman, in particular, wondered whether it might not be better to think of the theory as really describing many individual particles rather than an underlying quantum field. He developed an extremely useful way of thinking about interactions in terms of particles, although it soon became clear that the underlying justification for his rules is best understood in terms of quantum field theory. Here, in a nutshell, is Feynman’s procedure: Start with a basic set of allowed particle interactions, such as “an electron and a positron annihilate to form a photon.” Draw a diagram with particles meeting at a point, called a vertex, to represent each basic interaction. Specify a scattering process of interest, such as “an incoming electron and positron scatter into an outgoing electron and positron.” The important thing is to fix what comes in and what goes out. Combine the basic interactions in all possible ways that might contribute to the specified process. Each way will correspond to a particular Feynman diagram. To each diagram, associate a complex number using a specified set of rules. Add up contributions from each diagram (in general, an infinite number of them). The result is the scattering amplitude from the specified initial state to the final state. Square the amplitude to obtain the desired scattering probability.

times, a measurement will likely yield the proper response. This clever use of superposition and interference of amplitudes highlights how quantum algorithms are uniquely equipped to solve problems efficiently.

Probability of a particular outcome = |Amplitude for that outcome|2 This simple relation is called the Born rule, after physicist Max Born.* Part of our task will be to figure out where in the world such a rule came from.

Não adornei nem recheei esta obra de orações amplas ou de palavras pomposas e magníficas ou de quaisquer outros artifícios ou ornamentos extrínsecos, com os quais muitos soem descrever e adornar suas coisa. porque quis que nada mais a honrasse ou tornasse grata senão a exclusiva amplitude da matéria e a gravidade do assunto. Tampouco pretendo que se considere presunção o fato de que um homem de baixo e ínfimo estado ouse discorrer e ditar regras sobre o governo dos príncipes; isto porque, assim como os desenhistas de paisagem se põem num nível baixo a fim de discernir a natureza dos montes e dos lugares altos, e no topo dos montes para observar as zonas baixas, do mesmo modo, para bem conhecer a natureza dos povos, é preciso ser príncipe, e, para conhecer bem a dos príncipes, é necessário pertencer ao povo.

The eminent physicist and co-founder of string theory, Michio Kaku, has actually said: [I]f you have a radio in your living room . . . and you have all frequencies in your living room; BBC, Radio Moscow, ABC, but your radio is tuned to one frequency—you’re decohered from all the other frequencies. You’re only coherent [wave phase and amplitude in alignment; either exactly or in whole number ratios] with one frequency. We now believe that the universe is vibrating and that there are vibrations of other universes right in this room. There are the universes of dinosaurs because the comet didn’t hit 65 million years ago; the wave function of aliens from outer space looking at the rubble of an earth that already was destroyed—all in your living room, except we have decohered from them. We’re no longer in tune with them, we don’t vibrate with them . . . [P]robably there are other parallel universes in your living room and believe it or not this is called modern physics . . . get used to it. This is the modern interpretation of the quantum theory, that many worlds represents reality.26 Not long ago, almost anyone who uttered such a sentiment would have been dismissed by many as “New Age-y,” “flaky,” and so on, but it is no longer feasible to use such convenient rationalizations with physicists of Kaku’s credibility speaking as a clairvoyant or mystic might.

I’d begun to realize that no matter what happened in court, the sheer amplitude of media coverage would distort these proceedings like never before. It made me feel out of control, angry and helpless.

There are no unfinished lives, because there are no single lives. Life goes on and on. If you knew how many lives there were to work with, you would learn to be patient and know that some things just take time. Lives are being given to you—more lives than you could imagine—over and over again. Those who learn to manage time gracefully will be happy from one lifetime to the next. Those who are thrown off-balance by time will live with anxiety and confusion. You must know that this is not the only life, and not the only time. You can learn this if you will. Just as the birds move easily from tree to tree with nothing to block their passage, I can teach you to move freely from one lifetime to the next. With this confidence, much that seems difficult in this lifetime will become possible for you. Healings and reconciliations that seem unlikely can easily be obtained, and the joy that has eluded you can be found close at hand. You cannot trace the path of your soul from life to life in the same way that you follow your days from week to week, your months from year to year. But know that your lives are longer than you realize, and pray and remain open to the wisdom that is yours. That wisdom is the birthright of having a body. It is best for this learning, however, not to be anxious or afraid. There is nothing you have now that cannot be given to you again. There is no one you have loved who is forever lost to you. Nor are you condemned to repeat the same mistakes and follies. The long story of your soul is wiser and more generous than you know. The human concept of the soul is like a shiny coin faceup on the ground. It is flat. The most you can imagine is flipping it over to see what is on the other side. I want to show you the full length and brightness of a soul. I want you to feel its amplitude. It is incalculably long and old. A soul is so much deeper, so much brighter than you imagine. The universe is astounded by every soul. The universe is not big enough to contain a soul. Know that you can pick up the thread of your own soul in this lifetime the moment you pick up the rosary. So don’t lose heart, and never give in to fear. Live with confidence, knowing that there are reasons for all things that happen. You do not live in a random universe because you do not live in a Motherless universe. You know by now that it was I Who, through your mothers, gave birth to your bodies. Know also that I have given birth to your souls—and a soul may never be destroyed.

He said he had developed an alternative formulation of quantum mechanics to add to the pair of formulations produced two decades before by Schrödinger and Heisenberg. He defined the notion of a probability amplitude for a space-time path.

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