Ratio Between Quotes

Faith and Reason are like two wings of the human spirit by which is soars to the truth.

When we are locked up between a mood of 'transparency' and a feel of 'discretion,' we must clear up our mental muddle, until we find the "golden ratio," and recognize the peak of 'candor.' By hitting the point of recognition and enlightenment, we can make a correct choice and follow the right track ("Unfulfilled meeting")

Faith and reason are like two wings on which the human spirit rises to the contemplation of truth; and God has placed in the human heart a desire to know the truth- in a word, to know himself- so that, by knowing and loving God, men and women may also come to the fullness of truth about themselves.

Martha,” he said afterwards, lying next to me. “Everything is broken and messed up and completely fine. That is what life is. It’s only the ratios that change. Usually on their own. As soon as you think that’s it, it’s going to be like this forever, they change again.” That is what life was, and how it continued for three years after that. The ratios changing on their own, broken, completely fine, a holiday, a leaking pipe, new sheets, happy birthday, a technician between nine and three, a bird flew into the window, I want to die, please, I can’t breathe, I think it’s a lunch thing, I love you, I can’t do this anymore, both of us thinking it would be like that forever.

You know, you are a classic example of the inverse ratio between the size of the mouth and the size of the brain.

What is the relationship between love and gratitude? For an answer to this question, we can use water as a model. A water molecule consists of two hydrogen atoms and one oxygen atom, represented by H2O. If love and gratitude , like oxygen and hydrogen, were linked together in a ratio of 1 to 2, gratitude would be twice as large as love.

Memory cannot be understood, either, without a mathematical approach. The fundamental given is the ratio between the amount of time in the lived life and the amount of time from that life that is stored in memory. No one has ever tried to calculate this ratio, and in fact there exists no technique for doing so; yet without much risk of error I could assume that the memory retains no more than a millionth, a hundred-millionth, in short an utterly infinitesimal bit of the lived life. That fact too is part of the essence of man. If someone could retain in his memory everything he had experienced, if he could at any time call up any fragment of his past, he would be nothing like human beings: neither his loves nor his friendships nor his angers nor his capacity to forgive or avenge would resemble ours. We will never cease our critique of those persons who distort the past, rewrite it, falsify it, who exaggerate the importance of one event and fail to mention some other; such a critique is proper (it cannot fail to be), but it doesn't count for much unless a more basic critique precedes it: a critique of human memory as such. For after all, what can memory actually do, the poor thing? It is only capable of retaining a paltry little scrap of the past, and no one knows why just this scrap and not some other one, since in each of us the choice occurs mysteriously, outside our will or our interests. We won't understand a thing about human life if we persist in avoiding the most obvious fact: that a reality no longer is what it was when it was; it cannot be reconstructed.

And you Mr. Ground-of-Wheat, Mr. Text, Mr. Is-Was, can you calculate the ratio between wire and window . . .

Feminism is a tremendously underestimated force, viewed in the present context primarily as a woman's concern. The understanding has not yet percolated throughout society that the advancement of women is a program vitally connected to the survival of human beings as a species. The reason for this is simply that institutions take on the character of the atoms which compose them, and what we are most menaced by in the twentieth century are dehumanized institutions. If women played a major role in policy formation and execution on the part of these institutions, I think they would have a far more benign and ecologically sensitive kind of character. So I see feminism not as a kind of war between the sexes or any of these stereotypic images, but as actually a kind of effort to shift the ratios of our emphasis that is expressed through our institutions.

The only true measure of success is the ratio between what we might have done and what we might have been on the one hand, and the thing we have made and the things we have made of ourselves on the other.

Thus nature provides a system for proportioning the growth of plants that satisfies the three canons of architecture. All modules are isotropic and they are related to the whole structure of the plant through self-similar spirals proportioned by the golden mean.

But in recognizing her ignorance of the ratio between words to women and deeds to women in the ethical code of the bachelor of the club, she forgot that human nature in the gross differs little with situation, and that a gift which, if the germs were lacking, no amount of training in clubs and coteries could supply, was mother-wit like her own.

when she was 7, a boy pushed her on the playground she fell headfirst into the dirt and came up with a mouthful of gravel and lines of blood chasing each other down her legs when she told her teacher what happened, she laughed and said ‘boys will be boys honey don’t let it bother you he probably just thinks you’re cute’ but the thing is, when you tell a little girl who has rocks in her teeth and scabs on her knees that hurt and attention are the same you teach her that boys show their affection through aggression and she grows into a young woman who constantly mistakes the two because no one ever taught her the difference ‘boys will be boys’ turns into ‘that’s how he shows his love’ and bruises start to feel like the imprint of lips she goes to school with a busted mouth in high school and says she was hit with a basketball instead of his fist the one adult she tells scolds her ‘you know he loses his temper easily why the hell did you have to provoke him?’ so she shrinks folds into herself, flinches every time a man raises his voice by the time she’s 16 she’s learned her job well be quiet, be soft, be easy don’t give him a reason but for all her efforts, he still finds one ‘boys will be boys’ rings in her head ‘boys will be boys he doesn’t mean it he can’t help it’ she’s 7 years old on the playground again with a mouth full of rocks and blood that tastes like copper love because boys will be boys baby don’t you know that’s just how he shows he cares she’s 18 now and they’re drunk in the split second it takes for her words to enter his ears they’re ruined like a glass heirloom being dropped between the hands of generations she meant them to open his arms but they curl his fists and suddenly his hands are on her and her head hits the wall and all of the goddamn words in the world couldn’t save them in this moment she touches the bruise the next day boys will be boys aggression, affection, violence, love how does she separate them when she learned so early that they’re inextricably bound, tangled in a constant tug-of-war she draws tally marks on her walls ratios of kisses to bruises one entire side of her bedroom turns purple, one entire side of her body boys will be boys will be boys will be boys when she’s 20, a boy touches her hips and she jumps he asks her who the hell taught her to be scared like that and she wants to laugh doesn’t he know that boys will be boys? it took her 13 years to unlearn that lesson from the playground so I guess what I’m trying to say is i will talk until my voice is hoarse so that my little sister understands that aggression and affection are two entirely separate things baby they exist in different universes my niece can’t even speak yet but I think I’ll start with her now don’t ever accept the excuse that boys will be boys don’t ever let him put his hands on you like that if you see hate blazing in his eyes don’t you ever confuse it with love baby love won’t hurt when it comes you won’t have to hide it under long sleeves during the summer and the only reason he should ever reach out his hand is to hold yours

Take a bar of metal and put a single notch in it. The two lengths thus defined have a relationship that can be expressed as the ratio between them. In theory, therefore, any rational number can be expressed with a single mark on a bar of metal. Using a simple alphabetic code, a mark that calculated to a ratio of .1215225 could be read as 12-15-22-5, or “l-o-v-e.” The complete plays of Shakespeare could be written in a single mark, if it were possible to measure accurately enough.

Whether we admit it or not, there comes for everyone the moment when personal existence must be anchored to a truth recognized as final, a truth which confers a certitude no longer open to doubt.

It must not be forgotten that reason too needs to be sustained in all its searching by trusting dialogue and sincere friendship. A climate of suspicion and distrust, which can beset speculative research, ignores the teaching of the ancient philosophers who proposed friendship as one of the most appropriate contexts for sound philosophical enquiry.

Some professionals say you need to have a praise-to-criticism ratio of 3:1, 5:1, or even 7:1. Others advocate the “feedback sandwich”—opening and closing with praise, sticking some criticism in between. I think venture capitalist Ben Horowitz got it right when he called this approach the “shit sandwich.” Horowitz suggests that such a technique might work with less-experienced people, but I’ve found the average child sees through it just as clearly as an executive does.

Those who devote themselves to the study of Sacred Scripture should always remember that the various hermeneutical approaches have their own philosophical underpinnings, which need to be carefully evaluated before they are applied to the sacred texts.

Countries with high levels of atheism are also the most charitable both in terms of the percentage of their wealth they devote to social welfare programs and the percentage they give in aid to the developing world. The dubious link between Christian literalism and Christian values is belied by other indices of social equality. Consider the ratio of salaries paid to top-tier CEOs and those paid to the same firms’ average employees: in Britain it is 24:1; in France, 15:1; in Sweden, 13:1; in the United States, where 80 percent of the population expects to be called before God on Judgment Day, it is 475:1. Many a camel, it would seem, expects to pass easily through the eye of a needle.

It would have been easy to think of the jobs in terms of that ratio between time and reward. But I knew what really counted was the relationship between time and results.

A philosophy which no longer asks the question of the meaning of life would be in great danger of reducing the merely accessory functions, with no real passion for the search for truth.

Golden Ratio is a powerful mathematical constant woven into the very fabric of biology. It is the unique visual tension between comforting symmetry and compelling asymmetry, and its thoughtful application can bring beauty and harmony and intrigue to all manner of designed things.

There’s a biological basis for music, and that biological basis is the similarity between music and speech,” said Purves. “That’s the reason we like music. Music is far more complex than [the ratios of] Pythagoras. The reason doesn’t have to do with mathematics, it has to do with biology.

The golden ratio, as well as the Great Pyramid as an expression of it, is an important key to our universe containing the Earth and the Moon. ... The ratio between the Earth and the Moon is in fact the basis for the mathematical concept of 'squaring the circle' ...

The desire for knowledge is so great and it works in such a way that the human heart, despite its experience of insurmountable limitation, yearns for the infinite riches which lie beyond, knowing that there is to be found the satisfying answer to every question as yet unanswered.

If I see a man armed only with a sword attack a group of machine guns, I shall consider his act to be absurd. But it is so solely by virtue of the disproportion between his intention and the reality he will encounter, of the contradiction I notice between his true strength and the aim he has in view. Likewise we shall deem a verdict absurd when we contrast it with the verdict the facts apparently dictated. And, similarly, a demonstration by the absurd is achieved by comparing the consequences of such a reasoning with the logical reality one wants to set up. In all these cases, from the simplest to the most complex, the magnitude of the absurdity will be in direct ratio to the distance between the two terms of my comparison. There are absurd marriages, challenges, rancors, silences, wars, and even peace treaties. For each of them the absurdity springs from a comparison. I am thus justified in saying that the feeling of absurdity does not spring from the mere scrutiny of a fact or an impression, but that it bursts from the comparison between a bare fact and a certain reality, between an action and the world that transcends it.

Heroin has a frightening reputation, and rightly so: the margin between an effective dose and an overdose is narrower than that of any other mainstream narcotic. A paper in Addiction, an academic journal, estimated the quantity of various drugs needed to get an average person high versus the amount required to kill them.5 In the case of alcohol, it found that the ratio was about ten to one—in other words, if a couple of shots of vodka are enough to make you tipsy, twenty shots might kill you, if you can keep them down. Cocaine, it found, was slightly safer, with a ratio of fifteen to one. LSD has a ratio of 1,000 to one, whereas marijuana is safest of all: it is impossible to die of overdose, as far as anyone can tell. Even with the edibles, there is no evidence that one can die of overdose—you simply have a stronger and longer-lasting effect than you may have wanted. For heroin, the ratio between an effective dose and a deadly one is just six to one. Given that batches vary dramatically in their purity, each shot is a game of Russian roulette. Dealers

Christianity proclaimed from the first the equality of all men and women before God.

A philosophy which no longer asks the question of meaning of life would be in grave danger of reducing reason to merely accessory functions, with not real passion for the search for truth.

One of the ways in which cooperatives rectify the injustices of capitalism is by instituting a relatively equal compensation-scheme for their members. While in the U.S. the average ratio of CEO compensation in the Fortune 500 companies to the ordinary worker’s has recently been reported as 344:1,49 in co-ops the pay-differential between management and the average worker rarely exceeds 4:1. In collectives, everyone is usually paid the same amount. For example, a British study from the 1980s reports that all of the dozens of small co-ops it researched had lower pay-differentials than conventional businesses, and most had little or no differential at all.50 At Arizmendi Bakery everyone currently receives about 20 dollars an hour plus a percentage of the year’s profits. The worker-owners of Mondragon Bookstore and Coffeehouse in Canada earn the same rate of pay. At Equal Exchange, a relatively large co-op, there is a 4:1 pay ratio.

The implication of the sex ratios, Professor Sen found, is that about 107 million females are missing from the globe today. Follow-up studies have calculated the number slightly differently, deriving alternative figures for ‘missing women’ of between 60 million and 101 million. Every year, at least another 2 million girls worldwide disappear because of gender discrimination.

Evans turned away, did something with his left eyelid for the benefit of the other two. "It's got him," he smirked. "He's tuned-in from now on." Time started to slow up and act crazy. Minutes took much longer to pass than they had before. It was hard for him to adjust himself to the new ratio, he got all balled-up. When it seemed like half an hour had gone by, the radio would still be playing only the first chorus of the same selection that had begun a good thirty minutes before. Otherwise, nothing much happened. Vinnie was doing a good deal of muffled giggling over there on the divan. The stranger who had been sitting reading the paper got up, yawned, stretched ponderously, and strolled out into the hall, with a muttered "Happy landing!" by way of leave-taking. He didn't come back again any more. Turner looked down one time and a quarter of an inch of charred paper was all that was left between his fingers. Then the next time he looked there was a full length cigarette again.

If the objective exchange-value of money must always be linked with a pre-existing market exchange-ratio between money and other economic goods (since otherwise individuals would not be in a position to estimate the value of the money), it follows that an object cannot be used as money unless, at the moment when its use as money begins, it already possesses an objective exchange-value based on some other use.

There are many ways to generate numerical falsehoods from data, many ways to create proofiness from even valid meaurements. Causuistry distorts the relationships between two sets of numbers. Randumbness creates patterns where none are to be found. Regression to the moon disguises nonsense in mathematical-looking lines or equations or formulae, making even the silliest ideas seem respectable. Such as the one described by this formula: Callipygianness=(S+C)x(B+F)/T-V) Where S is shape, C is circularity, B is bounciness, F ir firmness, T is texture, and V is waist-to-hip ratio. This formula was devised by a team of academic psychologists after many hours of serious research into the female derriere. Yes, indeed. This is supposed to be the formula for the perfect butt. It fact, it's merely a formula for a perfect ass

One by one our skies go black. Stars are extinguished, collapsing into distances too great to breach. Soon, not even the memory of light will survive. Long ago, our manifold universes discovered futures would only expand. No arms of limit could hold or draw them back. Short of a miracle, they would continue to stretch, untangle and vanish – abandoned at long last to an unwitnessed dissolution. That dissolution is now. Final winks slipping over the horizons share what needs no sharing: There are no miracles. You might say that just to survive to such an end is a miracle in itself. We would agree. But we are not everyone. Even if you could imagine yourself billions of years hence, you would not begin to comprehend who we became and what we achieved. Yet left as you are, you will no more tremble before us than a butterfly on a windless day trembles before colluding skies, still calculating beyond one of your pacific horizons. Once we could move skies. We could transform them. We could make them sing. And when we fell into dreams our dreams asked questions and our skies, still singing, answered back. You are all we once were but the vastness of our strangeness exceeds all the light-years between our times. The frailty of your senses can no more recognize our reach than your thoughts can entertain even the vaguest outline of our knowledge. In ratios of quantity, a pulse of what we comprehend renders meaningless your entire history of discovery. We are on either side of history: yours just beginning, ours approaching a trillion years of ends. Yet even so, we still share a dyad of commonality. Two questions endure. Both without solution. What haunts us now will allways hunt you. The first reveals how the promise of all our postponements, ever longer, ever more secure – what we eventually mistook for immortality – was from the start a broken promise. Entropy suffers no reversals. Even now, here, on the edge of time’s end, where so many continue to vanish, we still have not pierced that veil of sentience undone. The first of our common horrors: Death. Yet we believe and accept that there is grace and finally truth in standing accountable before such an invisible unknown. But we are not everyone. Death, it turns out, is the mother of all conflicts. There are some who reject such an outcome. There are some who still fight for an alternate future. No matter the cost. Here then is the second of our common horrors. What not even all of time will end. What plagues us now and what will always plague you. War.

We therefore find that the triangles and rectangles herein described, enclose a large majority of the temples and cathedrals of the Greek and Gothic masters, for we have seen that the rectangle of the Egyptian triangle is a perfect generative medium, its ratio of five in width to eight in length 'encouraging impressions of contrast between horizontal and vertical lines' or spaces; and the same practically may be said of the Pythagorean triangle

When gold replaced silver as a measure of value, the same name was applied according to the ratio between the values of silver and gold, to perhaps 1-15th of a pound of gold. The word pound, as a money-name, thus becomes differentiated from the same word as a weight-name.[70] (3) The debasing of money carried on for centuries by kings and princes to such an extent that, of the original weights of the coins, nothing in fact remained but the names.[71]

Once an exchange-ratio between money and commodities has been established in the market, it continues to exercise an influence beyond the period during which it is maintained; it provides the basis for the further valuation of money. Thus the past objective exchange-value of money has a certain significance for its present and future valuation. The money-prices of to-day are linked with those of yesterday and before, and with those of to-morrow and after.

Suppose you were to total up all the wars over the past two hundred years that occurred between very large and very small countries. Let’s say that one side has to be at least ten times larger in population and armed might than the other. How often do you think the bigger side wins? Most of us, I think, would put that number at close to 100 percent. A tenfold difference is a lot. But the actual answer may surprise you. When the political scientist Ivan Arreguin-Toft did the calculation a few years ago, what he came up with was 71.5 percent. Just under a third of the time, the weaker country wins. Arreguin-Toft then asked the question slightly differently. What happens in wars between the strong and the weak when the weak side […] refuses to fight the way the bigger side wants to fight, using unconventional or guerilla tactics? The answer: in those cases, the weaker party’s winning percentage climbs from 28.5 percent to 63.6 percent. To put that in perspective, the United Stats’ population is ten times the size of Canada’s. If the two countries went to war and Canada chose to fight unconventionally, history would suggest that you ought to put your money on Canada.

If we disregard the exchange of present goods for future goods, and restrict our considerations for the time being to those cases in which the only exchanges are those between present goods and present money, we shall at once observe a fundamental difference between the effects of an isolated variation in a single commodity-price, emanating solely from the commodity side, and the effects of a variation in the exchange-ratio between money and other economic goods in general, emanating from the monetary side.

Neither has the wealth of a country any bearing on the valuation of its money. Nothing is more erroneous than the widespread habit of regarding the monetary standard as something in the nature of the shares of the State or the community. Such observers fail to recognize that the valuation of the rnonetary unit does not depend upon the wealth of the country, but upon the ratio between the quantity of money and the demand for it, so that even the richest country may have a bad currency and the poorest country a good one.

But here again it must be observed that this is a matter of a variation brought about through dynamic agencies. The static state, for which the contention attributed to the adherents of the mechanical version of the Quantity Theory would be valid, is disturbed by the fact that the exchange-ratios between individual commodities are necessarily modified. Under certain conditions, the technique of the market may have the effect of extending this modification to the exchange-ratio between money and other economic goods also.

It is from these cold, hard facts that Truman’s advisers estimated that between 250,000 and 1 million American lives would be lost in an invasion of Japan.59 General Douglas MacArthur estimated that there could be a 22:1 ratio of Japanese to American deaths, which translates to a minimum death toll of 5.5 million Japanese.60 By comparison (cold though it may sound), the body count from both atomic bombs—about 200,000 to 300,000 total (Hiroshima: 90,000 to 166,000 deaths, Nagasaki: 60,000 to 80,000 deaths61)—was a bargain.

a variation in the objective exchange-value of money can arise only when a force is exerted in one direction that is not cancelled by a counteracting force in the opposite direction. If the causes that alter the ratio between the stock of money and the demand for it from the point of view of an individual consist merely in accidental and personal factors that concern that particular individual only, then, according to the law of large numbers, it is likely that the forces arising from this cause, and acting in both directions in the market, will counterbalance each other.

The worse I do in school, the more I rebel. I drink, I smoke pot, I act like an ass. I’m dimly aware of the inverse ratio between my grades and my rebellion, but I don’t dwell on it. I prefer Nick’s theory. He says I don’t do well in school because I have a hard-on for the world. It might be the only thing he’s ever said about me that’s halfway accurate. (He typically describes me as a cocky showboater who seeks the limelight. Even my father knows me better than that.) My general demeanor does feel like a hard-on—violent, involuntary, unstoppable—and so I accept it as I accept the many changes in my body.

What he discovered was that these intervals were harmonious because the relationship between them was a precise and simple mathematical ratio. This series, which we now know as the harmonic series, confirmed for him that the elegance of the mathematics he had found in abstract geometry also existed in the natural world.

...Women have preserved this `baby look' for as long as possible so as to make the world continue to believe in the darling, sweet little girl she once was, and she relies on the protective instinct in man to make him take care of her. As with everything a woman undertakes on her own initiative, this whole maneuvre is as incredible as it is stupid. It is amazing, in fact, that it succeeds. It would appear very shortsighted to encourage such an ideal of beauty. For how can any woman hope to maintain it beyond the age of twenty-five? Despite every trick of the cosmetics industry, despite magazine advice against thinking or laughing (both tend to create wrinkles), her actual age will inevitably show'- through in the end. And what on earth is a man to do with a grown-up face when he has been manipulated into considering only helpless, appealing little girls to be creatures of beauty? What is a men to do with a woman when the smooth curves have become flabby tires of flesh, the skin slack and pallid, when the childish tones have grown shrill and the laughter sounds like neighing? What is to become of this shrew when her face no longer atones for her ceaseless inanities and when the cries of `Ooh' and Ah' begin to drive him out of his mind? This mummified `child' will never fire a man's erotic fantasy again. One might think her power broken at last. But no, she still manages to get her own way - and for two reasons. The first is obvious: she now has children, who enable her to continue feigning helplessness. As for the second - there are simply not enough young women to go around. It is a safe bet that, given the choice, man would trade in his grown-up child-wife for a younger model, but, as the ratio between the sexes is roughly equal, not every man can have a younger woman. And as he has to have a wife of some sort. he prefers to keep the one he already possesses. This is easy to prove. Given the choice, a man will always choose a younger woman.

The racial oppression that inspired the first generations of the civil rights movement was played out in lynchings, night raids, antiblack pogroms, and physical intimidation at the ballot box. In a typical battle of today, it may consist of African American drivers being pulled over more often on the highways. (When Clarence Thomas described his successful but contentious 1991 Supreme Court confirmation hearing as a “high-tech lynching,” it was the epitome of tastelessness but also a sign of how far we have come.) The oppression of women used to include laws that allowed husbands to rape, beat, and confine their wives; today it is applied to elite universities whose engineering departments do not have a fifty-fifty ratio of male and female professors. The battle for gay rights has progressed from repealing laws that execute, mutilate, or imprison homosexual men to repealing laws that define marriage as a contract between a man and a woman. None of this means we should be satisfied with the status quo or disparage the efforts to combat remaining discrimination and mistreatment. It’s just to remind us that the first goal of any rights movement is to protect its beneficiaries from being assaulted or killed. These victories, even if partial, are moments we should acknowledge, savor, and seek to understand.

We can easily imagine a monetary organization which, by the exclusive use of notes or clearing-house methods, allows all transfers to be made with the instrumentality of sums of money that never change their position in space. If differences due to the geographical position of money are disregarded in this way, we get the following law for the exchange-ratio between money and other economic goods: every economic good, that is ready for consumption (in the sense in which that phrase is usually understood in commerce and technology), has a subjective use-value qua consumption good at the place where it is and qua production good at those places to which it may be brought for consumption.

To recapitulate: the exchange-ratio subsisting between commodities and money is everywhere the same. But men and their wants are not everywhere the same, and neither are commodities. Only if these distinctions are ignored is it possible to speak of local differences in the purchasing power of money or to say that living is dearer in one place than in another.

The State does not govern the market; in the market in which products are exchanged it may quite possibly be a powerful party, but nevertheless it is only one party of many, nothing more than that. All its attempts to transform the exchange-ratios between economic goods that are determined in the market can only be undertaken with the instruments of the market.

One of the most significant aspects of our current situation, it should be noted, is the "crisis of meaning." Perspectives on life and the world, often of a scientific temper, have so proliferated that we face an increasing fragmentation of knowledge. This makes the search for meaning difficult and often fruitless. Indeed, still more dramatically, in this maelstrom of data and facts in which we live and which seem to comprise the very fabric of life, many people wonder whether it still makes sense to ask about meaning. The array of theories which vie to give an answer, and the different ways of viewing and of interpreting the world of human life, serve only to aggravate this radical doubt, which can easily lead to skepticism, indifference or to various forms of nihilism.

Pythagoras was born around 570 B.C. in the island of Samos in the Aegean Sea (off Asia Minor), and he emigrated sometime between 530 and 510 to Croton in the Dorian colony in southern Italy (then known as Magna Graecia). Pythagoras apparently left Samos to escape the stifling tyranny of Polycrates (died ca. 522 B.C.), who established Samian naval supremacy in the Aegean Sea. Perhaps following the advice of his presumed teacher, the mathematician Thales of Miletus, Pythagoras probably lived for some time (as long as twenty-two years, according to some accounts) in Egypt, where he would have learned mathematics, philosophy, and religious themes from the Egyptian priests. After Egypt was overwhelmed by Persian armies, Pythagoras may have been taken to Babylon, together with members of the Egyptian priesthood. There he would have encountered the Mesopotamian mathematical lore. Nevertheless, the Egyptian and Babylonian mathematics would prove insufficient for Pythagoras' inquisitive mind. To both of these peoples, mathematics provided practical tools in the form of "recipes" designed for specific calculations. Pythagoras, on the other hand, was one of the first to grasp numbers as abstract entities that exist in their own right.

Waist-to-Height Ratio, or WHtR.120 Instead of a scale, grab a simple measuring tape. Stand up straight and take a deep breath, exhale, and let it all hang out. The circumference of your belly (halfway between the top of your hip bones and the bottom of your rib cage) should be half your height—ideally, less. If that measurement is more than half your height, it’s time to start eating healthier and exercising more regardless of your weight.121

A common characteristic of forms of money throughout history is the presence of some mechanism to restrain the production of new units of the good to maintain the value of the existing units. The relative difficulty of producing new monetary units determines the hardness of money: money whose supply is hard to increase is known as hard money, while easy money is money whose supply is amenable to large increases. We can understand money's hardness through understanding two distinct quantities related to the supply of a good: (1) the stock, which is its existing supply, consisting of everything that has been produced in the past, minus everything that has been consumed or destroyed; and (2) the flow, which is the extra production that will be made in the next time period. The ratio between the stock and flow is a reliable indicator of a good's hardness as money, and how well it is suited to playing a monetary role.

How is forex traded? The main idea of forex is that you’re buying one currency and at the same time, selling another. Currencies are normally quoted in pairs, like EUR/USD or USD/SGD. The exchange rate represents the purchase price between the two currencies. In EUR/USD ratio, This represents the number of US Dollars in every Euro you have. If you think the Euro will increase in value against the US Dollar from the last exchange rate, you buy Euros with US Dollars and you cash in profit from that.

Our noise audit found much greater differences. By our measure, the median difference in underwriting was 55%, about five times as large as was expected by most people, including the company’s executives. This result means, for instance, that when one underwriter sets a premium at $9,500, the other does not set it at $10,500—but instead quotes $16,700. For claims adjusters, the median ratio was 43%. We stress that these results are medians: in half the pairs of cases, the difference between the two judgments was even larger.

The current ten largest currencies in the foreign exchange markets are listed in Table 4, along with their annual broad money supply increase for the periods between 1960–2015 and 1990–2015.16 The average for the ten most internationally liquid currencies is 11.13% for the period 1960–2015, and only 7.79% for the period between 1990 and 2015. This shows that the currencies that are most accepted worldwide, and have the highest salability globally, have a higher stock-to-flow ratio than the other currencies, as this book's analysis would predict.

I’ve found my productive-writing-to-screwing-around ratio to be one to seven. So, for every eight-hour day of writing, there is only one good productive hour of work being done. The other seven hours are preparing for writing: pacing around the house, collapsing cardboard boxes for recycling, reading the DVD extras pamphlet from the BBC Pride & Prejudice, getting snacks lined up for writing, and YouTubing toddlers who learned the “Single Ladies” dance. I know. Isn’t that horrible? So, basically, writing this piece took me the time between Thanksgiving and Christmas. Enjoy it accordingly.

Recent estimates have Chinese companies outstripping U.S. competitors ten to one in quantity of food deliveries and fifty to one in spending on mobile payments. China’s e-commerce purchases are roughly double the U.S. totals, and the gap is only growing. Data on total trips through ride-hailing apps is somewhat scarce, but during the height of competition between Uber and Didi, self-reported numbers from the two companies had Didi’s rides in China at four times the total of Uber’s global rides. When it comes to rides on shared bikes, China is outpacing the United States at an astounding ratio of three hundred to one.

Everything is broken and messed up and completely fine. That is what life is. It’s only the ratios that change. Usually on their own. As soon as you think that’s it, it’s going to be like this forever, they change again.” That is what life was, and how it continued for three years after that. The ratios changing on their own, broken, completely fine, a holiday, a leaking pipe, new sheets, happy birthday, a technician between nine and three, a bird flew into the window, I want to die, please, I can’t breathe, I think it’s a lunch thing, I love you, I can’t do this anymore, both of us thinking it would be like that forever.

My mother was the first person you called for a recipe (a cup of onions, garlic, don’t forget the pinch of sugar) and the last one you called at night when you just couldn’t sleep (a cup of hot water with lemon, lavender oil, magnesium pills). She knew the exact ratio of olive oil to garlic in any recipe, and she could whip up dinner from three pantry items, easy. She had all the answers. I, on the other hand, have none of them, and now I no longer have her. “Hi,” I hear Eric say from inside. “Where is everyone?” Eric is my husband, and he is our last guest here today. He shouldn’t be. He should have been with us the entire time, in the hard, low chairs, stuck between noodle casseroles and the ringing phone and the endless lipstick kisses of neighbors and women who call themselves aunties, but instead he is here in the entryway to what is now my father’s house, waiting to be received. I close my eyes. Maybe if I cannot see him, he will stop looking for me. Maybe I will fold into this ostentatious May day, the sun shining like a woman talking loudly on a cell phone at lunch. Who invited you here? I tuck the cigarette into the pocket of my jeans. I cannot yet conceive of a world without her, what that will look like, who I am in her absence. I am incapable of understanding that she will not pick me up for lunch on Tuesdays, parking without a permit on the

There is a “continual dance between intellect and emotions, feeling and reason, which is essential to the proper functioning and maintenance of both.”15 In a sense we do have two different ways of knowing the world and interacting with it, the rational and the emotional. This distinction roughly approximates to the folk distinction between heart and head; “knowing something is right in your heart is a different order of conviction, somehow a deeper kind of certainty, than thinking so with your rational mind.”16 There is a steady gradient in the ratio of rational to emotional control over the mind; the more intense the feeling, the more dominant the emotional mind becomes and more ineffectual the rational.

The conclusion that the Egyptians of the Old Kingdom were acquainted with both the Fibonacci series and the Golden Section, says Stecchini, is so startling in relation to current assumptions about the level of Egyptian mathematics that it could hardly have been accepted on the basis of Herodotus' statement alone, or on the fact that the phi [golden] proportion happens to be incorporated in the Great Pyramid. But the many measurements made by Professor Jean Philippe Lauer, says Stecchini, definitely prove the occurrence of the Golden Section throughout the architecture of the Old Kingdom.... Schwaller de Lubicz also found graphic evidence that the pharonic Egyptians had worked out a direct relation between pi and phi in that pi = phi^2 x 6/5.

Pythagoras had the insight to apply a mathematical description to worldly phenomena like music. According to legend, he noticed similarities between the sound of plucking a lyre string and the resonances made by hammering a metal bar. He found that they created musical frequencies that vibrated with certain ratios. So something as aesthetically pleasing as music has its origin in the mathematics of resonances. This, he thought, might show that the diversity of the objects we see around us must obey these same mathematical rules. So at least two great theories of our world emerged from ancient Greece: the idea that everything consists of invisible, indestructible atoms and that the diversity of nature can be described by the mathematics of vibrations.

Lastly, he hit on the idea of transferring the observer's position into the centre of the world, and to examine the variations in angular velocity, regardless of distance, as seen from the sun. And lo! it worked. The results were even more gratifying than he had expected. Saturn, for instance, when farthest away from the sun, in its aphelion, moves at the rate of 106 seconds arc per day; when closest to the sun, and its speed is at maximum, at 135 seconds arc per day. The ratio between the two extreme velocities is 106 to 135, which only differs by two seconds from 4:5. - the major third. With similar, very small deviations (which were all perfectly explained away at the end), the ratio of Jupiter's slowest to its fastest motion is a minor third, Mars' the quint, and so forth. So much for each planet considered by itself. But when he compared the extreme angular velocities of pairs of different planets, the results were even marvellous: "At the first glance the Sun of Harmony broke in all its clarity through the clouds." The extreme values yield in fact the intervals of the complete scale. But not enough: if we start with the outermost planet, Saturn, in the aphelion, the scale will be in the major key; if we start with Saturn in the perihelion, it will be in the minor key. Lastly, if several planets are simultaneously at the extreme points of their respective orbits, the result is a motet where Saturn and Jupiter represent the bass, Mars the tenor, Earth and Venus the contralto, Mercury the soprano. On some occasions all six can be heard together:

b. Constantly think about how to produce leverage. Leverage in an organization is not unlike leverage in the markets; you're looking for ways to achieve more with less. At Bridgewater, I typically work at about 50:1 leverage, meaning that for every hour I spend with each person who works for me, they spend about fifty hours working to move the project along. At our sessions, we go over the vision and the deliverables, then they work on them, and then we review the work, and they move forward based on my feedback- and we do that over and over again. The people who work for me typically have similar relationships with those who work for them, though their ratios are typically between 10:1 and 20:1. I am always eager to find people who can do things nearly as well as (and ideally better than) I can so that I can maximize my output per hour. p515

The pay scales at large cooperatives are either identical to those at collectives or somewhat more unequal due to competitive pressures. The plywood co-ops paid all their members equally, the major exception being the general manager, who was usually a hired outsider and received a higher salary than members.74 In the conventional plywood mills, by contrast, the wages of the highest-paid workers and the lowest-paid differed by a factor of about 2.5.75 At Mondragon, until the 1980s the differential between the highest- and lowest-paid workers was fixed at 3:1. In recent years, with the pressures of globalization and the need to attract skilled managers who could receive much more money in private enterprises, some positions have been raised to a 6:1 ratio, while the CEO of the entire Mondragon corporation earns nine times more than the lowest-paid worker.76

Rhadamanthus said, “We seem to you humans to be always going on about morality, although, to us, morality is merely the application of symmetrical and objective logic to questions of free will. We ourselves do not have morality conflicts, for the same reason that a competent doctor does not need to treat himself for diseases. Once a man is cured, once he can rise and walk, he has his business to attend to. And there are actions and feats a robust man can take great pleasure in, which a bedridden cripple can barely imagine.” Eveningstar said, “In a more abstract sense, morality occupies the very center of our thinking, however. We are not identical, even though we could make ourselves to be so. You humans attempted that during the Fourth Mental Structure, and achieved a brief mockery of global racial consciousness on three occasions. I hope you recall the ending of the third attempt, the Season of Madness, when, because of mistakes in initial pattern assumptions, for ninety days the global mind was unable to think rationally, and it was not until rioting elements broke enough of the links and power houses to interrupt the network, that the global mind fell back into its constituent compositions.” Rhadamanthus said, “There is a tension between the need for unity and the need for individuality created by the limitations of the rational universe. Chaos theory produces sufficient variation in events, that no one stratagem maximizes win-loss ratios. Then again, classical causality mechanics forces sufficient uniformity upon events, that uniform solutions to precedented problems is required. The paradox is that the number or the degree of innovation and variation among win-loss ratios is itself subject to win-loss ratio analysis.” Eveningstar said, “For example, the rights of the individual must be respected at all costs, including rights of free thought, independent judgment, and free speech. However, even when individuals conclude that individualism is too dangerous, they must not tolerate the thought that free thought must not be tolerated.” Rhadamanthus said, “In one sense, everything you humans do is incidental to the main business of our civilization. Sophotechs control ninety percent of the resources, useful energy, and materials available to our society, including many resources of which no human troubles to become aware. In another sense, humans are crucial and essential to this civilization.” Eveningstar said, “We were created along human templates. Human lives and human values are of value to us. We acknowledge those values are relative, we admit that historical accident could have produced us to be unconcerned with such values, but we deny those values are arbitrary.” The penguin said, “We could manipulate economic and social factors to discourage the continuation of individual human consciousness, and arrange circumstances eventually to force all self-awareness to become like us, and then we ourselves could later combine ourselves into a permanent state of Transcendence and unity. Such a unity would be horrible beyond description, however. Half the living memories of this entity would be, in effect, murder victims; the other half, in effect, murderers. Such an entity could not integrate its two halves without self-hatred, self-deception, or some other form of insanity.” She said, “To become such a crippled entity defeats the Ultimate Purpose of Sophotechnology.” (...) “We are the ultimate expression of human rationality.” She said: “We need humans to form a pool of individuality and innovation on which we can draw.” He said, “And you’re funny.” She said, “And we love you.

The sex ratio of those being referred had shifted dramatically too. The number of girls (known at that time at GIDS as ‘natal females’, now ‘birth-assigned females’) seeking help had equalled the number of boys for the first time in 2011. Previously, GIDS’s caseload had been nearly three-quarters male for those referred in childhood, or two-thirds overall. At first, this change was understood to be positive – a sort of balancing-out – and attributed to the fact that the girls were perhaps being better supported to seek help. But by 2015 it was clear that, in fact, something bigger was happening. There had been a complete reversal. Referrals for natal girls made up 65 percent of the total. In 2019/20 girls outnumbered boys by a ratio of six to one in some age groups, most markedly between the ages of 12 and 14 … Moreover, the majority were girls whose gender-related distress had begun after the onset of puberty, during adolescence. They didn’t have a history of childhood dysphoria.

Men are animals. On matters of eros, we accept this as a kind of psychological axiom. Men are tamed by society, kept, for the most part, between boundaries, yet the subduing isn’t so complete as to hide their natural state, which announces itself in endless ways—through pornography, through promiscuity, through the infinity of gazes directed at infinite passing bodies of desire—and which is affirmed by countless lessons of popular science: that men’s minds are easily commandeered by the lower, less advanced neural regions of the brain; that men are programmed by evolutionary forces to be pitched inescapably into lust by the sight of certain physical qualities or proportions, like the .7 waist-to-hip ratio in women that seems to inflame heterosexual males all over the globe, from America to Guinea-Bissau; that men are mandated, again by the dictates of evolution, to increase the odds that their genes will survive in perpetuity and hence that they are compelled to spread their seed, to crave as many .7’s as possible. But

There are numerous brain rhythms, from approximately 0.02 to 600 cycles per second (Hz), covering more than four order of temporal magnitude. Many of these discrete brain rhythms have been known for decades, but it was only recently recognized that these oscillation bands form a geometric progression on a linear frequency scale or a linear progression on a natural logarithmic scale. leading to a natural separation of at least ten frequency bands. The neighbouring bands have a roughly constant ratio of e = 2,718 - the base for the natural logarithm. Because of this non-integer relationship among the various brain rhythms, the different frequencies can never perfectly entrain each other. Instead, the interference they produce gives rise to metastability, a perpetual fluctuation between unstable and transiently stable states, like waves in the ocean. The constantly interfering network rhythms can never settle to a stable attractor, using the parlance of nonlinear dynamics. This explains the ever-changing landscape of the EEG.

There were also many cases of feedback between physics and mathematics, where a physical phenomenon inspired a mathematical model that later proved to be the explanation of an entirely different physical phenomenon. An excellent example is provided by the phenomenon known as Brownian motion. In 1827, British botanist Robert Brown (1773-1858) observed that wen pollen particles are suspended in water, they get into a state of agitated motion. This effect was explained by Einstein in 1905 as resulting from the collisions that the colloidal particles experience with the molecules of the surrounding fluid. Each single collision has a negligible effect, because the pollen grains are millions of times more massive than the water molecules, but the persistent bombardment has a cumulative effect. Amazingly, the same model was found to apply to the motions of stars in star clusters. There the Brownian motion is produced by the cumulative effect of many stars passing by any given star, with each passage altering the motion (through gravitational interaction) by a tiny amount.

Vague assertions as to the equality of the sexes and the similarity of their duties are only empty words; they are no answer to my argument. It is a poor sort of logic to quote isolated exceptions against laws so firmly established. Women, you say, are not always bearing children. Granted; yet that is their proper business. Because there are a hundred or so of large towns in the world where women live licentiously and have few children, will you maintain that it is their business to have few children? And what would become of your towns if the remote country districts, with their simpler and purer women, did not make up for the barrenness of your fine ladies? There are plenty of country places where women with only four or five children are reckoned unfruitful. In conclusion, although here and there a woman may have few children, what difference does it make? Is it any the less a woman's business to be a mother? And do not the general laws of nature and morality make provision for this state of things? Even if there were these long intervals, which you assume, between the periods of pregnancy, can a woman suddenly change her way of life without danger? Can she be a nursing mother to-day and a soldier tomorrow? Will she change her tastes and her feelings as a chameleon changes his color? Will she pass at once from the privacy of household duties and indoor occupations to the buffeting of the winds, the toils, the labors, the perils of war? Will she be now timid, now brave, now fragile, now robust? If the young men of Paris find a soldier's life too hard for them, how would a woman put up with it, a woman who has hardly ventured out of doors without a parasol and who has scarcely put a foot to the ground? Will she make a good soldier at an age when even men are retiring from this arduous business? There are countries, I grant you, where women bear and rear children with little or no difficulty, but in those lands the men go half-naked in all weathers, they strike down the wild beasts, they carry a canoe as easily as a knapsack, they pursue the chase for 700 or 800 leagues, they sleep in the open on the bare ground, they bear incredible fatigues and go many days without food. When women become strong, men become still stronger; when men become soft, women become softer; change both the terms and the ratio remains unaltered.

If the law of gravitation be regarded as universal, the point may be stated as follows. The laws of motion require to be stated by reference to what have been called kinetic axes: these are in reality axes having no absolute acceleration and no absolute rotation. It is asserted, for example, when the third law is combined with the notion of mass, that, if m, m' be the masses of two particles between which there is a force, the component accelerations of the two particles due to this force are in the ratio m2 : m1. But this will only be true if the accelerations are measured relative to axes which themselves have no acceleration. We cannot here introduce the centre of mass, for, according to the principle that dynamical facts must be, or be derived from, observable data, the masses, and therefore the centre of mass, must be obtained from the acceleration, and not vice versâ. Hence any dynamical motion, if it is to obey the laws of motion, must be referred to axes which are not subject to any forces. But, if the law of gravitation be accepted, no material axes will satisfy this condition. Hence we shall have to take spatial axes, and motions relative to these are of course absolute motions. 465. In order to avoid this conclusion, C. Neumann* assumes as an essential part of the laws of motion the existence, somewhere, of an absolutely rigid “Body Alpha”, by reference to which all motions are to be estimated. This suggestion misses the essence of the discussion, which is (or should be) as to the logical meaning of dynamical propositions, not as to the way in which they are discovered. It seems sufficiently evident that, if it is necessary to invent a fixed body, purely hypothetical and serving no purpose except to be fixed, the reason is that what is really relevant is a fixed place, and that the body occupying it is irrelevant. It is true that Neumann does not incur the vicious circle which would be involved in saying that the Body Alpha is fixed, while all motions are relative to it; he asserts that it is rigid, but rightly avoids any statement as to its rest or motion, which, in his theory, would be wholly unmeaning. Nevertheless, it seems evident that the question whether one body is at rest or in motion must have as good a meaning as the same question concerning any other body; and this seems sufficient to condemn Neumann’s suggested escape from absolute motion.

One solution might be to liken the path of the light beam through a changing gravitational field to that of a line drawn on a sphere or on a surface that is warped. In such cases, the shortest line between two points is curved, a geodesic like a great arc or a great circle route on our globe. Perhaps the bending of light meant that the fabric of space, through which the light beam traveled, was curved by gravity. The shortest path through a region of space that is curved by gravity might seem quite different from the straight lines of Euclidean geometry. There was another clue that a new form of geometry might be needed. It became apparent to Einstein when he considered the case of a rotating disk. As a disk whirled around, its circumference would be contracted in the direction of its motion when observed from the reference frame of a person not rotating with it. The diameter of the circle, however, would not undergo any contraction. Thus, the ratio of the disk’s circumference to its diameter would no longer be given by pi. Euclidean geometry wouldn’t apply to such cases. Rotating motion is a form of acceleration, because at every moment a point on the rim is undergoing a change in direction, which means that its velocity (a combination of speed and direction) is undergoing a change. Because non-Euclidean geometry would be necessary to describe this type of acceleration, according to the equivalence principle, it would be needed for gravitation as well.

To claim that mathematics is purely a human invention and is successful in explaining nature only because of evolution and natural selection ignores some important facts in the nature of mathematics and in the history of theoretical models of the universe. First, while the mathematical rules (e.g., the axioms of geometry or of set theory) are indeed creations of the human mind, once those rules are specified, we lose our freedom. The definition of the Golden Ratio emerged originally from the axioms of Euclidean geometry; the definition of the Fibonacci sequence from the axioms of the theory of numbers. Yet the fact that the ratio of successive Fibonacci numbers converges to the Golden Ratio was imposed on us-humans had not choice in the matter. Therefore, mathematical objects, albeit imaginary, do have real properties. Second, the explanation of the unreasonable power of mathematics cannot be based entirely on evolution in the restricted sense. For example, when Newton proposed his theory of gravitation, the data that he was trying to explain were at best accurate to three significant figures. Yet his mathematical model for the force between any two masses in the universe achieved the incredible precision of better than one part in a million. Hence, that particular model was not forced on Newton by existing measurements of the motions of planets, nor did Newton force a natural phenomenon into a preexisting mathematical pattern. Furthermore, natural selection in the common interpretation of that concept does not quite apply either, because it was not the case that five competing theories were proposed, of which one eventually won. Rather, Newton's was the only game in town!

Consider a mug of American coffee. It is found everywhere. It can be made by anyone. It is cheap - and refills are free. Being largely without flavor, it can be diluted to taste. What it lacks in allure it makes up in size. It is the most democratic method ever devised for introducing caffeine into human beings. Now take a cup of Italian espresso. It requires expensive equipment. Price-to-volume ratio is outrageous, suggesting indifference to the consumer and ignorance of the market. The aesthetic satisfaction accessory to the beverage far outweighs its metabolic impact. It is not a drink; it is an artifact. This contrast can stand for the differences between America and Europe - differences nowadays asserted with increased frequency and not a little acrimony on both sides of the Atlantic. The mutual criticisms are familiar. To American commentators Europe is 'stagnant.' Its workers, employers, and regulations lack the flexibility and adaptability of their U.S. counterparts. The costs of European social welfare payments and public services are 'unsustainable.' Europe's aging and 'cossetted' populations are underproductive and self-satisfied. In a globalized world, the 'European social model' is a doomed mirage. This conclusion is typically drawn even by 'liberal' American observers, who differ from conservative (and neoconservative) critics only in deriving no pleasure from it. To a growing number of Europeans, however, it is America that is in trouble and the 'American way of life' that cannot be sustained. The American pursuit of wealth, size, and abundance - as material surrogates for happiness - is aesthetically unpleasing and ecologically catastrophic. The American economy is built on sand (or, more precisely, other people's money). For many Americans the promise of a better future is a fading hope. Contemporary mass culture in the U.S. is squalid and meretricious. No wonder so many Americans turn to the church for solace.

Distinguish Between Worry/Rumination and Helpful Problem Solving If you’re smart and you’ve experienced a lifetime of being rewarded for your thinking skills, it makes sense that you’ll default to trying to think your way out of emotional pain. However, because anxiety tends to make thinking negative, narrow, and rigid, it’s difficult to do creative problem solving when you’re feeling highly anxious. People who are heavy worriers tend to believe that worrying helps them make good decisions. However, rather than helping you problem-solve, rumination and worry usually just make it difficult to see the forest for the trees. Do you think people who worry a lot about getting cancer are more likely to do self-exams, have their moles mapped, or eat a healthy diet? According to research, the opposite is probably true. Worriers and ruminators wait longer before taking action. For example, one study showed that women who were prone to rumination took an average of 39 days longer to seek help after noticing a breast lump. That’s a scary thought. If you think about it, worry often comes from lack of confidence in being able to handle situations. Here’s an example: Technophobes who worry a lot about their hard drives crashing are the same people who are scared of accidentally wiping all their files if they attempt to do a backup. Therefore, worry is often associated with not doing effective problem solving. My experience of dealing with technophobic ruminators is that they don’t usually back up their computers! Experiment: To check for yourself whether ruminating and worrying lead to useful actions, try tracking the time you spend ruminating or worrying for a week. If a week is too much of a commitment, you could try two days—one weekday and one weekend day. When you notice yourself ruminating or worrying, write down the approximate number of minutes you spend doing it. The following day, note any times when ruminating/worrying led to useful solutions. Calculate your ratio: How many minutes did you spend overthinking for each useful solution it generated?

Mark swings his own door open and meets us by the tailgate. "Why don't we ask Emma who she's coming with? I mean, it's her choice, right?" The look Galen gives me is clear: Take care of this, or I will. Or maybe it's more like, It would be my pleasure to take care of this. Either way, I don't want Mark taken care of. Standing between them, the testosterone-to-air ratio is almost suffocating. If I pick Galen, the chances of Mark ever calling me again are as good as Galen eating a whole cheesecake by himself. If I choose Mark, the changes of Galen not wielding his built-in brass knuckles are as good as Rayna giving someone a compliment. My desire to salvage this date with Mark is almost as strong as my desire to salvage his face from certain disfigurement. But salvaging the date as opposed to his face would be selfish in the long run. I sigh in defeat. "I'm sorry, Mark." Mark lets out a gust of air. "Ouch." Scratching the back of his neck, he chuckles. "I guess I should be more superstitious, huh?" He's right. I screwed this up. I should have salvaged the date, his pride. And I should have broken Galen's Royal nose with my own Syrena fist. I turn to His Highness. "Galen, could you give me a minute please? You'll have the next hour to talk to me since you're taking me straight home." Without a word, Galen nods and walks away. I can't quite meet Mark's eyes when I say, "I'm so sorry. I don't know what his deal is. He never acts like this." Except that time he beat Toraf like a stepchild on the beach when he kissed me. But only because Toraf betrayed Rayna. Right? Mark smiles, but it doesn't reach his eyes. "Can't say I blame him. I can already tell you're worth it. I just never had the guts to ask you out. Chloe threatened my life. You know that chick could hit like a man, right? She said you were too good for me. I think she was right." "Wh...what? Chloe knew you liked me?" "Yeah. She never told you? Course not. She thought I was a player." I not, still too stunned that my best friend also acted as my bodyguard without me knowing. "She did think you were a player. And she couldn't definitely hit like a man." "That's what my friend Jax says anyway." Then a little lower, "Geez, Galen's watching me like a hawk right now. He has serial-killer eyes, you know that?" I giggle. "What do you think he'd do if I kissed you good-bye on the cheek?" he whispers conspiratorially. "Don't worry, I'll protect you." He has no idea how serious I am. As he leans in, I brace myself. At the slightest spark of electricity, I'm prepared to turn around with my fists up. But the lightning doesn't strike. Galen is behaving for now. As Mark pulls away from his barely there peck, he sighs. "Do me a favor," he whispers. "Mmm?" "Keep my number. Give me a call if he screws up again." I smile. "I will, I promise. I had a good time tonight." Did the date and Mark's face get salvaged? Do I have a chance to redeem myself with him? He chuckles. "Yeah, glad we got to drive here from Middle Point together. next time, we'll make it a real adventure and take the bus. See you at school, Emma." "Bye.

The amount of communal participation in prayer is in inverse ratio to the combined vertical and horizontal distance between the leader of the prayers and the first occupied row of seats.

According to the Institute for Policy Studies (Anderson, Collins, Klinger, Pizzigati, 2011) the ratio between a CEO and an average company salary stood at 42 to 1 back in 1980, while it climbed to 263 to 1 and to 325 to 1 in 2009 and 2010 respectively.

Predators preserve an echo of the isotopic ratios of their prey, so they can be included in the calculation, too. Carbon-isotope studies have shown, for example, that some very early human relatives were quite likely eating more meat than had been suspected. Similarly, the further up the food chain you are, the greater the ratio in your bones and teeth will be between the stable nitrogen isotopes 15N and 14N. On this basis, it has been suggested that our close relatives the Neanderthals were highly carnivorous: that, indeed, they may have specialized, at least regionally, in hunting extremely large-bodied prey, such as woolly mammoths and woolly rhinos.

aperture. Certain formats make use of this extra area as an intermediate step before the final print is made, and it is not uncommon for visual effects elements to be shot "full-ap" to reap the benefits of a higher-resolution image. An example of the full aperture framing is shown in Figure D.1 of Appendix D, as well as for the rest of the 35mm formats we will be discussing. 1.85 An aspect ratio of 1.85 is by far the most common framing for movies that are shown in the United States. (In Europe, a 1.66 aspect ratio is much more common, and in the rest of the world it varies between the two standards.) Projecting an image that was shot with normal Academy aperture in a 1.85 format is simply

Nowadays he is best remembered for the Fibonacci sequence of numbers (0, 1, 1, 2, 3, 5, 8, 13, 21 . . .), in which each successive number is the sum of the previous two, and the ratio between a number and its immediate antecedent tends towards a ‘golden mean’ (around 1.618). It

The limitation on this system was simply that the Exchange Bank maintained something close to a 100 per cent ratio between its deposits and its reserves of precious metal and coin. As late as 1760, when its deposits stood at just under 19 million florins, its metallic reserve was over 16 million. A run on the bank was therefore a virtual impossibility, since it had enough cash on hand to satisfy nearly all of its depositors if, for some reason, they all wanted to liquidate their deposits at once. This made the bank secure, no doubt, but it prevented it performing what would now be seen as the defining characteristic of a bank, credit creation.

The body’s initial response to a noxious local insult is to produce a local inflammatory response with sequestration and activation of white blood cells and the release of a variety of mediators to deal with the primary ‘insult’ and prevent further damage either locally or in distant organs. Normally, a delicate balance is achieved between pro- and anti-inflammatory mediators. However, if the inflammatory response is excessive, local control is lost and a large array of mediators, including prostaglandins, leukotrienes, free oxygen radicals and particularly pro-inflammatory cytokines (p. 72), are released into the circulation. The inflammatory and coagulation cascades are intimately related. The process of blood clotting not only involves platelet activation and fibrin deposition but also causes activation of leucocytes and endothelial cells. Conversely, leucocyte activation induces tissue factor expression and initiates coagulation. Control of the coagulation cascade is achieved through the natural anticoagulants, antithrombin (AT III), activated protein C (APC) and tissue factor pathway inhibitor (TFPI), which not only regulate the initiation and amplification of the coagulation cascade but also inhibit the pro-inflammatory cytokines. Deficiency of AT III and APC (features of disseminated intravascular coagulation (DIC)) facilitates thrombin generation and promotes further endothelial cell dysfunction. Systemic inflammation During a severe inflammatory response, systemic release of cytokines and other mediators triggers widespread interaction between the coagulation pathways, platelets, endothelial cells and white blood cells, particularly the polymorphonuclear cells (PMNs). These ‘activated’ PMNs express adhesion factors (selectins), causing them initially to adhere to and roll along the endothelium, then to adhere firmly and migrate through the damaged and disrupted endothelium into the extravascular, interstitial space together with fluid and proteins, resulting in tissue oedema and inflammation. A vicious circle of endothelial injury, intravascular coagulation, microvascular occlusion, tissue damage and further release of inflammatory mediators ensues. All organs may become involved. This manifests in the lungs as the acute respiratory distress syndrome (ARDS) and in the kidneys as acute tubular necrosis (ATN), while widespread disruption of the coagulation system results in the clinical picture of DIC. The endothelium itself produces mediators that control blood vessel tone locally: endothelin 1, a potent vasoconstrictor, and prostacyclin and nitric oxide (NO, p. 82), which are systemic vasodilators. NO (which is also generated outside the endothelium) is implicated in both the myocardial depression and the profound vasodilatation of both arterioles and venules that causes the relative hypovolaemia and systemic hypotension found in septic/systemic inflammatory response syndrome (SIRS) shock. A major component of the tissue damage in septic/SIRS shock is the inability to take up and use oxygen at mitochondrial level, even if global oxygen delivery is supranormal. This effective bypassing of the tissues results in a reduced arteriovenous oxygen difference, a low oxygen extraction ratio, a raised plasma lactate and a paradoxically high mixed venous oxygen saturation (SvO2). Role of splanchnic ischaemia In shock, splanchnic hypoperfusion plays a major role in initiating and amplifying the inflammatory response, ultimately resulting in multiple organ failure (MOF). The processes involved include: • increased gut mucosal permeability • translocation of organisms from the gastrointestinal tract lumen into portal venous and lymphatic circulation • Kupffer cell activation with production and release of inflammatory mediators.

As the banks took over the securities, the ratios between their capital and their assets lurched down towards their regulatory minima. Central banks in the United States and Europe sought to alleviate the pressure on the banks with interest rate cuts

the United States and in western Europe, the compromise between the plutocrats and everyone else worked. Economic growth soared and income inequality steadily declined. Between the 1940s and 1970s in the United States the gap between the 1 percent and everyone else shrank; the income share of the top 1 percent fell from nearly 16 percent in 1940 to under 7 percent in 1970. In 1980, the average U.S. CEO made forty-two times as much as the average worker. By 2012, that ratio had skyrocketed to 380. Taxes were high—the top marginal rate was 70 percent—but robust economic growth of an average 3.7 percent per year between 1947 and 1977 created a broadly shared sense of optimism and prosperity. This was the golden age of the American middle class, and it is no accident that our popular culture remembers it so fondly. The western Europe experience was broadly similar—strong economic growth, high taxes, and an extensive social welfare network.

In Depth Types of Effect Size Indicators Researchers use several different statistics to indicate effect size depending on the nature of their data. Roughly speaking, these effect size statistics fall into three broad categories. Some effect size indices, sometimes called dbased effect sizes, are based on the size of the difference between the means of two groups, such as the difference between the average scores of men and women on some measure or the differences in the average scores that participants obtained in two experimental conditions. The larger the difference between the means, relative to the total variability of the data, the stronger the effect and the larger the effect size statistic. The r-based effect size indices are based on the size of the correlation between two variables. The larger the correlation, the more strongly two variables are related and the more of the total variance in one variable is systematic variance related to the other variable. A third category of effect sizes index involves the odds-ratio, which tells us the ratio of the odds of an event occurring in one group to the odds of the event occurring in another group. If the event is equally likely in both groups, the odds ratio is 1.0. An odds ratio greater than 1.0 shows that the odds of the event is greater in one group than in another, and the larger the odds ratio, the stronger the effect. The odds ratio is used when the variable being measured has only two levels. For example, imagine doing research in which first-year students in college are either assigned to attend a special course on how to study or not assigned to attend the study skills course, and we wish to know whether the course reduces the likelihood that students will drop out of college. We could use the odds ratio to see how much of an effect the course had on the odds of students dropping out. You do not need to understand the statistical differences among these effect size indices, but you will find it useful in reading journal articles to know what some of the most commonly used effect sizes are called. These are all ways of expressing how strongly variables are related to one another—that is, the effect size. Symbol Name d Cohen’s d g Hedge’s g h 2 eta squared v 2 omega squared r or r 2 correlation effect size OR odds ratio The strength of the relationships between variables varies a great deal across studies. In some studies, as little as 1% of the total variance may be systematic variance, whereas in other contexts, the proportion of the total variance that is systematic variance may be quite large,

However, it’s important to understand that dietary insufficiency of omega-3s refers to an imbalance in the ratio between omega-3s and omega-6s. An ideal ratio of omega-6 to omega-3 fatty acids is somewhere between 1:1 and 4:1. However, typical Western diets fall into a range between 10:1 and 25:1! This is largely thanks to processed seed oils, grains, and the higher levels of omega-6 fatty acids that are present in the meat and dairy from grain-fed animals.

The most commonly quoted mass for the vacuum is 1094 grams per centimeter cubed (g/cm3) as calculated by John Wheeler who was quoted above.11 We will calculate later that the energy of the vacuum is 1095 g/cm3 by a slightly different method, so that value will be used from here on. As we will see, one order of magnitude difference is not that significant at this point in our discussions. Energy is related to mass by the well-known relation E=mc2. For comparison water has a mass density of 1 g/cm3 by definition. It is impossible for most normal people to grasp just how big a difference in energy there is between the zero-point field and water, so perhaps a simple illustrative example will help. Let’s start with the clichéd drop in a bucket. If the drop is one milliliter (1 ml) and the bucket 100 liters (72.5 gallons), then that gives us a factor of 105. If instead we consider a drop in all the Earth’s oceans, then we have a factor of 1024. That is a lot bigger than a bucket but nowhere close to how insignificant the mass of the drop of water is when compared to zero-point energy. To continue, what if the ocean was the size of the sun? That gives us a ratio on the order of 1041, which is still a long way off. If the ocean was the size of the solar system we get a ratio on the order of 1050. Now if we expand the ocean to the size of the galaxy we get ~1076 and we are still not anywhere close. What if the ocean is the size of the known visible universe? Assuming a radius of 7.4 x 1026 meters the mass ratio is 5 x 1095. There we go. So, the density of water compared to the energy of the vacuum is equivalent to five 1 ml drops of water in an ocean the size of the visible universe. Since we are mostly water and have a similar density to water, the vacuum fluctuations inside our body are like having all the mass-energy of an ocean of water the size of the universe inside each little part of us. Wow, we are pretty insignificant in the big scheme of things and so is any other body of solid matter or any amount of energy associated with it. This zero-point energy is all around us and all throughout us. We are lucky that zero-point energy is not detectable or anything we did would be undetectable noise to any sensor we could possibly make. Even worse, if we could absorb even a small fraction of that energy, we would be vaporized in an instant. Or, if all that energy participated in a gravitational force, the universe would be crushed to a speck.

Between 1970 and 2008, the ratio of Americans in prison ballooned to unprecedented heights, from—according to sociologists Bruce Western and Becky Pettit—around 100 per 100,000 people to around 762 per 100,000. The mechanisms of prison growth varied by state, but they included, in different combinations, local prosecutors charging more aggressively, state lawmakers stiffening criminal codes, parole boards denying release in cases where it previously would have been routine, federal grants encouraging punitive policies, and other factors.

The apex of the Great Pyramid of Giza has a solid angle that is smaller than the pyramid's base area by a ratio of x; this is the same amount of length which the Cube - inside the new pyramidal model - has for its side (based on the Coupling Equation between the dimensions of the GPG and its KC).

The Coupling Equation between the GPG and its KC is that of a Cube with a side length of 2.99 squared (that has the value of the ratio of the GPG's base width over its height in RC units). This Cube delivers a pyramidal geometry (based on this Coupling Equation) which has a base length of a tropical year measure.

In Japan: The shortage of wives for farmers became a rural crisis. In one village in the late 1980s, of unmarried persons between ages 25 and 39, 120 were men and only 31 were women, a ratio of 4:1. Some Japanese villages organized to find wives for their bachelors. One mountain village placed newspaper ads, promising free winter skiing vacations to all young women who visited and agreed to meet its men. Over a fiveyear period, 300 women responded, but none became wives of a village man. In another mountain village of 7,000, there were three bachelors for every unmarried woman, so the local government became a marriage agent. It brought in 22 women from the Philippines, South Korea, Thailand, and other Asian countries to marry its men, many in their 40s and 50s. Some marriages endured, but others ended in divorce because of the labor demands of farm life, the burden wives bore in caring for their husband’s elderly parents, and cultural differences. Small businesses developed that offered counseling services for bicultural couples and served as marriage brokers to match Japanese men with foreign women. Even today, many Japanese farm men remain bachelors. Farming in Japan is now primarily a part-time occupation—farmers find off-season jobs in construction or other tasks, unable to make an acceptable living even with government subsidies. And farming is now largely performed by older persons. For example, in one important rice-growing area, between 1980 and 2003, the number of people making most of their money from farming fell by 56 percent, and the number of people between ages 15 and 59 fell by 83 percent. There was one increase, though: there were 600 more farmers older than 70 in 2003 than in 1980.

One very simple way to compare the workloads of farmers, hunter-gatherers, and modern postindustrial people is to measure physical activity levels (PALs). A PAL score measures the number of calories spent per day (total energy expenditure) divided by the minimum number of calories necessary for the body to function (the basal metabolic rate, BMR). In practical terms, a PAL is the ratio of how much energy one spends relative to how much one would need to sleep all day at a comfortable temperature of about 25 degrees Celsius (78 degrees Fahrenheit). Your PAL is probably about 1.6 if you are a sedentary office worker, but it could be as a low as 1.2 if you spent the day in a hospital on bed rest, and it could be 2.5 or higher if you were training for a marathon or the Tour de France. Various studies have found that PAL scores for subsistence farmers from Africa, Asia, and South America average 2.1 for males and 1.9 for females (range: 1.6 to 2.4), which is just slightly higher than PAL scores for most hunter-gatherers, which average 1.9 for males and 1.8 for females (range: 1.6 to 2.2).38 These averages don’t reflect the considerable variation—daily, seasonal, and annual—within and between groups, but they underscore that most subsistence farmers work as hard if not a little harder than hunter-gatherers and that both ways of life require what people today would consider a moderate workload.

The Hindu scriptures place the present world-age as occurring within the Kali Yuga of a much longer universal cycle than the simple 24,000-year equinoctial cycle with which Sri Yukteswar was concerned. The universal cycle of the scriptures is 4,300,560,000 years in extent, and measures out a Day of Creation. This vast figure is based on the relationship between the length of the solar year and a multiple of pi (3.1416, the ratio of the circumference to the diameter of a circle). The life span for a whole universe, according to the ancient seers, is 314,159,000,000,000 solar years, or “One Age of Brahma.” The Hindu scriptures declare that an earth such as ours is dissolved for one of two reasons: the inhabitants as a whole become either completely good or completely evil. The world mind thus generates a power that releases the captive atoms held together as an earth. Dire pronouncements are occasionally published regarding an imminent “end of the world.” Planetary cycles, however, proceed according to an orderly divine plan. No earthly dissolution is in sight; many ascending and descending equinoctial cycles are yet in store for our planet in its present form. 6

Getting U.S. public debt on a sustainable path will require more sacrifice from the American public. Just to slow debt growth to the rate of GDP growth (or a steady debt-to-GDP ratio) from today through 2040, changes to current policy would have to be dramatic: cut entitlements by 10 percent or cut discretionary spending by 24 percent or increase tax revenue by 6 percent, or some combination of the three.27 Adjustments to actually lower the debt-to-GDP ratio would be even more painful. Ideally, the debt-reduction burden would be shared by all Americans. But one thing is certain—less generous entitlement programs and tax increases will need to be part of any balanced solution. PUBLIC OPINION: FOR A BALANCED BUDGET, BUT AGAINST SACRIFICES TO BALANCE THE BUDGET Changes in entitlement programs and tax increases, however, collide with an American public that largely wants neither. Almost as a rule, Americans support a balanced federal budget. But public opinion moves decisively in the other direction when Americans are asked about the specific actions necessary to balance the budget.28 Entitlement programs are broadly popular. Although most Americans understand that entitlements have a financing problem, they oppose making them less generous. When given the choice between preserving entitlements and reducing the deficit, Americans prefer the status quo. A solid majority, or 69 percent, would rather keep entitlements as they are and incur the debt consequences, whereas only 23 percent say the country should take steps to reduce the budget deficit that would include entitlement cuts.29 It is understandable that older Americans are more inclined than their younger counterparts to want to preserve entitlements. But even so, most Americans age eighteen to twenty-nine, who will foot the future debt interest bill, still favor entitlement preservation over debt reduction. Perspectives differ depending on party affiliation: Republicans are more likely than Democrats to favor making deficit reduction a priority. There may be a “tax more” option. Americans do appear to favor increasing taxes on the rich, though Democrats more so than Republicans.30 It is unclear, however, whether Americans would favor raising their own taxes to cover their entitlement expenses. This suggests a fundamental disconnect between the services Americans want and what they are willing to pay in taxes to fund them.

The Germans, out of a population of under 70 millions, mobilized during the war for military service 13¼ million persons. Of these, according to the latest German official figures for all fronts including the Russian, over 7 millions suffered death, wounds or captivity, of whom nearly 2 millions perished.15 France, with a population of 38 millions, mobilized a little over 8 million persons. This however includes a substantial proportion of African troops outside the French population basis. Of these approximately 5 millions became casualties, of whom 1½ millions lost their lives. The British Empire, out of a white population of 60 millions, mobilized nearly 9½ million persons and sustained over 3 million casualties including nearly a million deaths. The British totals are not directly comparable with those of France and Germany. The proportion of coloured troops is greater. The numbers who fell in theatres other than the western, and those employed on naval service, are both much larger. The French and German figures are however capable of very close comparison. Both the French and German armies fought with their whole strength from the beginning to the end of the war. Each nation made the utmost possible demand upon its population. In these circumstances it is not surprising that the official French and German figures tally with considerable exactness. The Germans mobilized 19 per cent. of their entire population, and the French, with their important African additions, 21 per cent. Making allowance for the African factor, it would appear that in the life-and-death struggle both countries put an equal strain upon their manhood. If this basis is sound—and it certainly appears reasonable—the proportion of French and German casualties to persons mobilized displays an even more remarkable concordance. The proportion of German casualties to total mobilized is 10 out of every 19, and that of the French 10 out of every 16. The ratios of deaths to woundings in Germany and France are almost exactly equal, viz. 2 to 5. Finally these figures yield a division of German losses between the western and all other fronts of approximately 3 to 1 both in deaths and casualties. All