Gower Quotes

There is no deception on the part of the woman, where a man bewilders himself: if he deludes his own wits, I can certainly acquit the women. Whatever man allows his mind to dwell upon the imprint his imagination has foolishly taken of women, is fanning the flames within himself -- and, since the woman knows nothing about it, she is not to blame. For if a man incites himself to drown, and will not restrain himself, it is not the water's fault.

The human mind is not capable of comprehending or containing this world's agony.' Sidney Grice said, 'or we should all go mad.

The poor, I am told, are kind to each other but that is because they have nothing to lose,' he said. 'The rich cannot afford to be.

What have you got against penguins?’ ‘Nothing very much except for their nasty jauntiness,

In Gower Street they were sweeping up glass, and a building smoked into the new day like a candle which some late reveler had forgotten to snuff.

I’m a writer.”It took a second to click. Then Blake chucked. “Not just any writer. She writes paranormal porn.”She turned, and snarled at Blake, “It’s not porn. It is erotic romance.

. . . in a strange land, on the borders of Chymerie . . . the god of sleep made his house . . . which of the sun may naught have, so no man may know aright the point between day and night. . . Round about there is growing on the ground, poppy which is the seed of sleep . . . a still water . . . runs upon the small stones . . . which gives great appetite for sleep. And thus full of delight the god of sleep has his house.

It's a pity you are so poor & plain. And a shame you have such intelligence & spirit, Miss Middleton. You might otherwise make a man an acceptable spouse.

Ay, he was porn at Monmouth, Captain Gower. What call you the town's name where Alexander the Pig was born! GOWER- Alexander the Great. FLUELLEN- Why, I pray you, is not pig great? the pig, or the great, or the mighty, or the huge, or the magnanimous, are all one reckonings, save the phrase is a little variations.

It is a remarkable phenomenon that children can learn to speak without ever being consciously aware of the sophisticated grammar they are using.

A centric mind spins on the spot, going nowhere and only succeeding in making itself dizzy. The eccentric travels unpredictably but often towards the inspired.

Turning to Ann Gower, she smiled. “You’re a good woman, Ann Gower.” Ann Gower drew back and looked askance at Mary. “Don’t you go ruinin’ me reputation, Mary Abacus. I be a real bad woman, but a bloody good whore, and you knows it!

You must convince your readers that your characters are flesh and blood rather than words on dead skin, that their loves and hatreds and passions are as deep and present as the readers' own. Your task is to delight, to pleasure, to lift your reader to another sphere of being and then strand him there, floating above the earth and panting for more lines.

Can we have genuine knowledge of space without ever leaving our armchairs?

It was the start of love at second sight and love at second sight is love eternal. You told me that so it must be true.

Roses belong to the set R

The best lies are always flavoured with the truth but if the substance is rotten, it will stink no matter how much you try to disguise it.

Do you usually dine alone?" I asked. "No," he said. "I always dine with a book.

Traps!" he said. "Never in the world! Don't think it! Why, Gower is just a necessary olf bore. Nobody's supposed to know much about him--except instructors and their hapless students.

It appears she has taken an exorbitant quantity of heroin.’ ‘Oh dear.’ I pushed my plate aside. ‘What condition did she have to take it for?’ ‘Boredom.’ He stood up. ‘She has so little to do with her time since she came out of prison.’ I

A3 0 is an additive identity: 0 + a = a for any number a. That is all you need to know about 0. Not what it means – just a little rule that tells you what it does.

Man is ever blind to his own faults, but fox-quick at perceiving those of others.

Love can be sustaining even in the worst of circumstances. Bare life, though, can be passing hard to endure

Where are your clothes? And do not pretend you do not know. I can accept that you may not know if you killed a man, but every girl always knows where her clothes are.

We do not serve spirits to the ladies.' 'As you have probably guessed, I am not a lady

If there is method here, it is hard to discern it. Let it be repeated: the use of capitals is a matter not or rules but of taste; but consistency is at least not a mark of bad taste.

Did you ask him, Pop-pop?” I glanced at Magnus and was surprised to see his face flood with just the slightest hint of color. “Um no, not yet,” he said, sending me a small smile and shaking his head. Were they talking about me? “You should ask him before someone else does,” Matty declared and then I saw Leo lean over and whisper something to Matty. He nodded vigorously before saying, “Pop-pop, I gotta go…we’re going on a mission.” “Okay,

Gower is the first English writer to use "history" as an English word. He regularly rhymes the term with "memory," for to his way of thinking history and memory are correlative. That is, without history, there can be no memory; and without memory, there can be no history. But the point of historical knowledge is not to enable people to live in the past, or even to understand the past in the way we would expect a modern historian to proceed; rather, it is to enable people to live more vitally in the present.

I that in heill was and gladnèss Am trublit now with great sickness And feblit with infirmitie:- Timor Mortis conturbat me. Our plesance here is all vain glory, This fals world is but transitory, The flesh is bruckle, the Feynd is slee:- Timor Mortis conturbat me. The state of man does change and vary, Now sound, now sick, now blyth, now sary, Now dansand mirry, now like to die:- Timor Mortis conturbat me. No state in Erd here standis sicker; As with the wynd wavis the wicker So wannis this world's vanitie:- Timor Mortis conturbat me. Unto the Death gois all Estatis, Princis, Prelatis, and Potestatis, Baith rich and poor of all degree:- Timor Mortis conturbat me. He takis the knichtis in to the field Enarmit under helm and scheild; Victor he is at all mellie:- Timor Mortis conturbat me. That strong unmerciful tyrand Takis, on the motheris breast sowkand, The babe full of benignitie:- Timor Mortis conturbat me. He takis the campion in the stour, The captain closit in the tour, The lady in bour full of bewtie:- Timor Mortis conturbat me. He spairis no lord for his piscence, Na clerk for his intelligence; His awful straik may no man flee:- Timor Mortis conturbat me. Art-magicianis and astrologgis, Rethoris, logicianis, and theologgis, Them helpis no conclusionis slee:- Timor Mortis conturbat me. In medecine the most practicianis, Leechis, surrigianis, and physicianis, Themself from Death may not supplee:- Timor Mortis conturbat me. I see that makaris amang the lave Playis here their padyanis, syne gois to grave; Sparit is nocht their facultie:- Timor Mortis conturbat me. He has done petuously devour The noble Chaucer, of makaris flour, The Monk of Bury, and Gower, all three:- Timor Mortis conturbat me. The good Sir Hew of Eglintoun, Ettrick, Heriot, and Wintoun, He has tane out of this cuntrie:- Timor Mortis conturbat me. That scorpion fell has done infeck Maister John Clerk, and James Afflek, Fra ballat-making and tragedie:- Timor Mortis conturbat me. Holland and Barbour he has berevit; Alas! that he not with us levit Sir Mungo Lockart of the Lee:- Timor Mortis conturbat me. Clerk of Tranent eke he has tane, That made the anteris of Gawaine; Sir Gilbert Hay endit has he:- Timor Mortis conturbat me. He has Blind Harry and Sandy Traill Slain with his schour of mortal hail, Quhilk Patrick Johnstoun might nought flee:- Timor Mortis conturbat me. He has reft Merseir his endite, That did in luve so lively write, So short, so quick, of sentence hie:- Timor Mortis conturbat me. He has tane Rowll of Aberdene, And gentill Rowll of Corstorphine; Two better fallowis did no man see:- Timor Mortis conturbat me. In Dunfermline he has tane Broun With Maister Robert Henrysoun; Sir John the Ross enbrast has he:- Timor Mortis conturbat me. And he has now tane, last of a, Good gentil Stobo and Quintin Shaw, Of quhom all wichtis hes pitie:- Timor Mortis conturbat me. Good Maister Walter Kennedy In point of Death lies verily; Great ruth it were that so suld be:- Timor Mortis conturbat me. Sen he has all my brether tane, He will naught let me live alane; Of force I man his next prey be:- Timor Mortis conturbat me. Since for the Death remeid is none, Best is that we for Death dispone, After our death that live may we:- Timor Mortis conturbat me

going anyplace outside L.A. Just bothering to go someplace other than Santa Monica was incomprehensible when I could just wake up every morning at dawn, yank on my bathing suit still on the floor from the night before when I’d yanked it off, hurry down to Hollywood and Gower to catch the 91S bus down Hollywood Boulevard and then Santa Monica Boulevard to Beverly Hills and transfer to the 83 going straight out to the beach untilfinally there I’d be, at 8:00 A.M. or so, able to feel the cool sand get warm as the morning sun glazed over the tops of the palm trees up on the palisades while waves of the ocean crashed down day after day so anyone could throw himself into the tides and bodysurf throughout eternity.

Adapt the atmosphere of your reply to suit that of the letter you have received. If its tone is troubled, be sympathetic. If it is rude, be especially courteous. If it is muddle-headed, be especially lucid. If it is stubborn, be patient. If your correspondent is helpful, be appreciative. If you find yourself convicted of a mistake, acknowledge it freely and even with gratitude.

Lament for the Makaris (Makers) I who enjoyed good health and gladness am overwhelmed now by life’s terrible sickness and enfeebled with infirmity ... how the fear of Death dismays me! our presence here is mere vainglory; the false world is but transitory; the flesh is frail; the Fiend runs free ... how the fear of Death dismays me! the state of man is changeable: now sound, now sick, now blithe, now dull, now manic, now devoid of glee ... how the fear of Death dismays me! no state on earth stands here securely; as the wild wind shakes the willow tree, so wavers this world’s vanity ... how the fear of Death dismays me! Death leads the knights into the field (unarmored under helm and shield) sole Victor of each red mêlée ... how the fear of Death dismays me! that strange, despotic Beast tears from its mother’s breast the babe, full of benignity ... how the fear of Death dismays me! He takes the champion of the hour, the captain of the highest tower, the beautiful damsel in her tower ... how the fear of Death dismays me! He spares no lord for his elegance, nor clerk for his intelligence; His dreadful stroke no man can flee ... how the fear of Death dismays me! artist, magician, scientist, orator, debater, theologist, must all conclude, so too, as we: “how the fear of Death dismays me!” in medicine the most astute sawbones and surgeons all fall mute; they cannot save themselves, or flee ... how the fear of Death dismays me! i see the Makers among the unsaved; the greatest of Poets all go to the grave; He does not spare them their faculty ... how the fear of Death dismays me! i have seen the Monster pitilessly devour our noble Chaucer, poetry’s flower, and Lydgate and Gower (great Trinity!) ... how the fear of Death dismays me! since He has taken my brothers all, i know He will not let me live past the fall; His next prey will be — poor unfortunate me! ... how the fear of Death dismays me! there is no remedy for Death; we all must prepare to relinquish breath so that after we die, we may be set free from “the fear of Death dismays me

In these cases it is not enough that the unhappy man should desire truth; he must desire health. Nothing can save him but a blind hunger for normality, like that of a beast. A man cannot think himself out of mental evil; for it is actually the organ of thought that has become diseased, ungovernable, and, as it were, independent. He can only be saved by will or faith. The moment his mere reason moves, it moves in the old circular rut; he will go round and round his logical circle, just as a man in a third-class carriage on the Inner Circle will go round and round the Inner Circle unless he performs the voluntary, vigorous, and mystical act of getting out at Gower Street. Decision is the whole business here; a door must be shut for ever. Every remedy is a desperate remedy. Every cure is a miraculous cure. Curing a madman is not arguing with a philosopher; it is casting out a devil. And however quietly doctors and psychologists may go to work in the matter, their attitude is profoundly intolerant—as intolerant as Bloody Mary. Their attitude is really this: that the man must stop thinking, if he is to go on living. Their counsel is one of intellectual amputation. If thy head offend thee, cut it off; for it is better, not merely to enter the Kingdom of Heaven as a child, but to enter it as an imbecile, rather than with your whole intellect to be cast into hell—or into Hanwell.

WRITING GUIDES AND REFERENCES: A SELECTIVE BIBLIOGRAPHY The Artful Edit, by Susan Bell (Norton) The Art of Time in Memoir, by Sven Birkerts (Graywolf Press) The Writing Life, by Annie Dillard (Harper & Row) Writing with Power, by Peter Elbow (Oxford University Press) Writing Creative Nonfiction, edited by Carolyn Forché and Philip Gerard (Story Press) Tough, Sweet and Stuffy, by Walker Gibson (Indiana University Press) The Situation and the Story, by Vivian Gornick (Farrar, Straus and Giroux) Intimate Journalism: The Art and Craft of Reporting Everyday Life, by Walt Harrington (Sage) On Writing, by Stephen King (Scribner) Telling True Stories, edited by Mark Kramer and Wendy Call (Plume) Bird by Bird: Some Instructions on Writing and Life, by Anne Lamott (Pantheon) The Forest for the Trees, by Betsy Lerner (Riverhead) Unless It Moves the Human Heart, by Roger Rosenblatt (Ecco) The Elements of Style, by William Strunk, Jr., and E. B. White (Macmillan) Clear and Simple as the Truth, by Francis-Noel Thomas and Mark Turner (Princeton University Press) Word Court, by Barbara Wallraff (Harcourt) Style, by Joseph M. Williams and Gregory G. Colomb (Longman) On Writing Well, by William Zinsser (Harper & Row) The Chicago Manual of Style, by University of Chicago Press staff (University of Chicago Press) Modern English Usage, by H. W. Fowler, revised edition by Sir Ernest Gowers (Oxford University Press) Modern American Usage, by Wilson Follett (Hill and Wang) Words into Type, by Marjorie E. Skillin and Robert M. Gay (Prentice-Hall) To CHRIS, SAMMY, NICK, AND MADDIE, AND TO TOMMY, JAMIE, THEODORE, AND PENNY

Scholars once proclaimed that the agricultural revolution was a great leap forward for humanity. They told a tale of progress fuelled by human brain power. Evolution gradually produced ever more intelligent people. Eventually, people were so smart that they were able to decipher nature’s secrets, enabling them to tame sheep and cultivate wheat. As soon as this happened, they cheerfully abandoned the gruelling, dangerous, and often spartan life of hunter-gatherers, settling down to enjoy the pleasant, satiated life of farmers. Map 2. Locations and dates of agricultural revolutions. The data is contentious, and the map is constantly being redrawn to incorporate the latest archaeological discoveries.1 {Maps by Neil Gower} That tale is a fantasy. There is no evidence that people became more intelligent with time. Foragers knew the secrets of nature long before the Agricultural Revolution, since their survival depended on an intimate knowledge of the animals they hunted and the plants they gathered. Rather than heralding a new era of easy living, the Agricultural Revolution left farmers with lives generally more difficult and less satisfying than those of foragers. Hunter-gatherers spent their time in more stimulating and varied ways, and were less in danger of starvation and disease. The Agricultural Revolution certainly enlarged the sum total of food at the disposal of humankind, but the extra food did not translate into a better diet or more leisure. Rather, it translated into population explosions and pampered elites. The average farmer worked harder than the average forager, and got a worse diet in return. The Agricultural Revolution was history’s biggest fraud.2 Who was responsible? Neither kings, nor priests, nor merchants. The culprits were a handful of plant species, including wheat, rice and potatoes. These plants domesticated Homo sapiens, rather than vice versa.

A k-form tells us how to assign a value to an infinitesimal k-dimensional parallelepiped with dimensions Δxl ∧. . .∧Δxk, and hence to a portion of k-dimensional “surface,” in much the same way as we have seen when k = 2. By convention, if k ≠ k’, the integral of a k-dimensional form on a k’-dimensional surface is understood to be zero. We refer to 0-forms, 1-forms, 2-forms, etc. (and formal sums and differences thereof), collectively as differential forms.

The description given earlier of the relationship between integrating a 2-form over the surface of a sphere and integrating its derivative over the solid sphere can be thought of as a generalization of the fundamental theorem of calculus, and can itself be generalized considerably: Stokes’s theorem is the assertion that for any oriented manifold S and form ω, where ∂ S is the oriented boundary of S (which we will not define here). Indeed one can view this theorem as a definition of the derivative operation ω → dω; thus, differentiation is the adjoint of the boundary operation. (For instance, the identity (11) is dual to the geometric observation that the boundary ∂s of an oriented manifold itself has no boundary: ∂(∂S) = ∅.) As a particular case of Stokes’s theorem, we see that ∫s dω = 0 whenever S is a closed manifold, i.e., one with no boundary. This observation lets one extend the notions of closed and exact forms to general differential forms, which (together with (11)) allows one to fully set up de Rham cohomology.

differentiation is the adjoint of the boundary operation.

We have seen that integration is a duality pairing between manifolds and forms. Since manifolds push forward under Φ from X to Y, we expect forms to pull back from y to X. Indeed, given any k-form ω on Y, we can define the pullback Φ* ω as the unique k-form on X such that we have the change-of-variables formula ∫ Φ(s) ω = ∫s Φ*(ω). In the case of 0-forms (i.e., scalar functions), the pullback Φ* f : x → of a scalar function f: y → is given explicitly by Φ* f (x) = f (Φ(x)), while the pullback of a 1-form ω is given explicitly by the formula (Φ* ω) x(v) = ωΦ(x) (Φ*v).

Since boyhood, the sandy coast of Southern California with its mazes of rocky crags towering high above the Pacific had been Gower Champion’s refuge for reflection.

Go, little book, to our unfathomed friend, Above his silvered head to build a shrine, Retreat of Wisdom, Ignorance to mend. Full oft there shall you comfort and entwine His long limbs in bookish fetters benign. Thou shalt preserve those aquamarine gems, Or Gower’s friend shall cast you in the Thames.

A man cannot think himself out of mental evil; for it is actually the organ of thought that has become diseased, ungovernable, and, as it were, independent. He can only be saved by will or faith. The moment his mere reason moves, it moves in the old circular rut; he will go round and round his logical circle, just as a man in a third-class carriage on the Inner Circle will go round and round the Inner Circle unless he performs the voluntary, vigorous, and mystical act of getting out at Gower Street.

The curious switch, from initially perceiving an obstruction to a problem to eventually embodying this obstruction as a number or an algebraic object of some sort that we can effectively study, is repeated over and over again, in different contexts, throughout mathematics. Much later, complex quadratic irrationalities also made their appearance. Again these were not at first regarded as “numbers as such,” but rather as obstructions to the solution of problems.

we do not have anything directly comparable to continued-fraction expansions for a complex quadratic irrationality. In fact, the simple, but true, answer to the problem of how to find an infinite number of rational numbers that converge to such an irrationality is that you cannot! Correspondingly, the analogue of the Pell equation has only finitely many solutions.

An algebraic integer of degree two is simply a root of a quadratic polynomial of the form X2 + aX + b with a, b ordinary integers.

The reason special names are given to these quadratic irrationalities is that any quadratic algebraic integer is a linear combination (with ordinary integers as coefficients) of 1 and one of these fundamental quadratic algebraic integers.

The collection of all real or complex numbers that are integral linear combinations of 1 and τd is closed under addition, subtraction, and multiplication, and is therefore a ring, which we denote by Rd. That is, Rd is the set of all numbers of the form a + bτd where a and b are ordinary integers. These rings Rd are our first, basic, examples of rings of algebraic integers beyond that prototype, , and they are the most important rings that are receptacles for quadratic irrationalities. Every quadratic irrational algebraic integer is contained in exactly one Rd.

there are only four units in the ring R-1 of Gaussian integers, namely ±1 and ±i; multiplication by any of these units effects a symmetry of the infinite square tiling

Fundamental to understanding the arithmetic of Rd is the following question: which ordinary prime numbers p are irreducible elements of Rd and which ones factorize as products of irreducible elements in Rd? We will see shortly that if a prime number does factorize in Rd, it must be expressible as the product of precisely two irreducible factors.

A typical quotient construction for an algebraic structure A will identify some substructure B and regard two elements of A as “equivalent if they “differ by an element of B.

the kernel of a homomorphism is closed under addition, and also under multiplication by any element of the ring. These two properties define the notion of an ideal.

Modules are to rings as vector spaces are to fields. In other words, they are algebraic structures where the basic operations are addition and scalar multiplication, but now the scalars are allowed to come from a ring rather than a field.

There is a very important “symmetry,” or ALRROMORPHISM

the second derivative conveys just the idea we want—a comparison between the value at x and the average value near x. It is worth noting that if f is linear, then the average of f(x - h) and f(x + h) will be equal to f(x), which fits with the familiar fact that the second derivative of a linear function f is zero.

No dearness of price ought to hinder a man from the buying of books,” Angervyle wrote, “if he has the money that is demanded for them.

starting from any topological space, we construct an algebraic object, in this case a group. If two spaces are homeomorphic, then their fundamental groups (and higher homotopy groups) must be isomorphic. This is richer than the original idea of just measuring the number of holes, since a group contains more information than just a number.

One can also use compactifications to view the continuous as the limit of the discrete: for instance, it is possible to compactify the sequence / 2,/ 3,/ 4, . . . of cyclic groups in such a way that their limit is the circle group = /.

Compactness is a powerful property of spaces, and it is used in many ways in many different areas of mathematics. One is via appeal to local-to-global principles: one establishes local control on a function, or on some other quantity, and then uses compactness to boost the local control to global control.

How dare you burst into my house in that revolting neck tie?

Abel talked about Amanda, about her poetry, her grace, her tendency to dream. He speculated on why her movements, her gestures, her voice, her way of dressing, were so much more charming and heart-winning than those of any other female mouse he had ever known, including his own dear mother and favorite sister. It puzzled him. “It’s the magic of love,” burped Gower.

When God created fools he put the biggest of them into uniform and gave them helmets to prevent any thoughts entering their heads,’ Sidney Grice said, his face almost drained with anger, as Inspector Pound turned on him.

dreams

Pets weren’t something many shifters had. Dogs weren’t usually fans of shifters, but at least it wasn’t a cat. Fish and cats didn’t mix well.

there certainly are philosophers who take seriously the question of whether numbers exist, and this distinguishes them from mathematicians, who either find it obvious that numbers exist or do not understand what is being asked.

Scotland's contribution to American balladry is a subject which was either glossed over or neglected entirely by Cecil Sharp, the English folklorist and ballad collector, when he came over to the United States in search of traditional song poetry. Over here we are indebted to Sharp and to Miss Maud Karpeles for exploring the back country and helping us find what we had. Their visits were fruitful and their English Folk Songs from the Southern Appalachians is an exemplary work. But it is regrettable that a Scottish folklorist, familiar and in tune with Lowland traditions, was not close at hand to make a few claims of his own. Somebody needed to suggest that Scotland had as good a claim to half the British ballads Sharp collected in Tennessee, Virginia and North Carolina as England has. Somebody might have suggested that English Folk Songs from the Southern Appalachians is a misleading title - that British Folk Songs would have been more accurate. For, after all, the most authoritative editor in the business, Francis J. Child, had clearly recognised two national traditions in his monumental English and Scottish Popular Ballads, which is the keystone work on which all subsequent studies have been based.

They were filmed inside the sound stages at the main lot at Sunset and Gower, as well as the outdoor sets at the Columbia Ranch, located in Burbank on Hollywood Way.

Math—realized I left my homework at Dad’s. Mr. Gower gave me a short-tempered Elliott when I told him that. Mr. Gower is not my favorite. Language Arts—listened to more information about our business project. We’re going to have to make a slideshow, poster, and four-page document just for the proposal. That’s just to get approval—that’s not even the final project! I am trying very hard not to think about it. Lunch—I sit with Gilbert, Kunal, Drew, and Victor because I don’t know what else to do. They don’t say “no offense” at any point, so that’s good. But the entire time they talk about their school project. Victor has the idea to make Kingdom of Krull catapults out of wooden craft sticks. Which, honestly, sounds amazing.

We are mates to polar bear shifters. Isn’t it amazing? I got to pat a frigging polar bear. How awesome is that?” Karen

Good God, trust Jacky to think what had happened to them was awesome.

You’re a lucky woman. I hate you right now. You’re living the dream. If you ever need a break, I’ll gladly fill in.

What a pity that the guy who held me so tenderly was a crazy loon

bet the nice security men who followed have contacted them to tell your family you’ve escaped or slipped. Do you have pills you’d like to go get? I’ll sit with you while you take them.” She kept patting my hand. Fuck, she thought I was crazy. “I’m not insane. You’re my mate. My soul mate. That’s what I’m telling you

Turning up Gower Street, she was headed to the First Presbyterian Church, not that she had suddenly decided to become born again or some shit. No, there was an Alcoholics Anonymous meeting that was about to let out, so she figured she would drop off a little gift by the exit. Nothing big, just the six pack. That was not why she had come, of course, but why pass up the opportunity to lead someone into temptation?

In an area so reliant on opinion there is also the matter of received opinion to consider. The old turkey of the innate beauty of left handers is probably a result of the rarer days for ‘cack-handers’ when Frank Woolley bestrode the shires on both sides of World War I. After a long gap, his mantle was languidly accepted in England by David Gower. But for every Woolley there was a Mead and for every Gower a Trescothick as if to balance the equation and bury the turkey.

differential equations that can be solved in “closed form,” that is, by means of a formula for the unknown function f, are the exception rather than the rule,

if, for each t, we write u(t) for the function from to that takes x to u(x, t), then it describes how the function u(t) “evolves” over time. The Cauchy problem for an evolution equation is the problem of determining this evolution from knowledge of its initial value u(0).

the simple algebraic equation ω+k3 = 0. This is called the dispersion relation of (1): with the help of the Fourier transform it is not hard to show that every solution is a superposition of solutions of the form ei(kx-ωt), and the dispersion relation tells us how the “wave number” k is related to the “angular frequency” ω in each of these elementary solutions.

The function ei(kx-ωt) represents a wave that travels at a speed of ω/k, which we have just shown to be equal to -k2. Therefore, the different plane-wave components of the solution travel at different speeds: the higher the angular frequency, the greater the speed. For this reason, the equation (1) is called dispersive.

ut = -uux - uxxx. Why is it that this equation gives rise to the remarkable stability of the solutions that was observed experimentally by Russell? Intuitively, the reason is that there is a balance between the dispersing effect of the uxxx term and the shock-forming effect of the uux term.

if X and Y are two topological spaces and if f : X → Y is a function between them, then we simply define f to be continuous if f-1 (U) is open for every open set U ⊂ Y. Remarkably, we have found a useful definition of continuity that does not rely on a notion of distance.

a functor F from a category X to a category Y takes the objects of X to the objects of Y and the morphisms of X to the morphisms of Y in such a way that the identity of a is taken to the identity of Fa and the composite of f and g is taken to the composite of Ff and Fg. An important example of a functor is the one that takes a topological space S with a “marked point” s to its fundamental group π(S, s): it is one of the basic theorems of algebraic topology that a continuous map between two topological spaces (that takes marked point to marked point) gives rise to a homomorphism between their fundamental groups.

Topology allows the possibility of making qualitative predictions when quantitative ones are impossible.

a continuous curve that goes from the lower half-plane to the upper half-plane must cross the horizontal axis at some point.

We live in an immense world, whole universes of taste and touch and scent, of voices commingling in the light, and dying away with the common dread that stands at every man’s door. Yet we perceive and remember this world only as it creates those single fragments of experience: moments of everyday kindness, or self-sacrificing love, or unthinkable brutality. I

The railroad, when it came, would meet high expectations. It came quickly enough, but before the necessary technologies converged into a successful system, variety flourished. Passengers were first carried on 25 March 1807 on the Oystermouth Tramroad on the Gower Peninsula in Swansea, northwest of Cardiff in Wales. The cars were horse-drawn, and the operator paid tolls to the company that owned the road.

The criminal mind is perverted and convoluted but almost invariably unimaginative,'he said as Molly came out in a fluster

Dear God, George, I prayed, how can you look at the sun and know that I am under it too? How can you be so cruel? I am being crushed like this letter, shredded like the dozens more that I have written and never sent.

Uno de los casos que Harry aún no había logrado resolver era el de una persona cuyo cadáver había aparecido en seis pedazos: uno en cada descanso de la escalera de incendios de un hotel de Gower Street. Aquel crimen atroz no había escandalizado a nadie en la oficina. Incluso corría el chiste de que por suerte la víctima no se había alojado en el Holiday Inn, que tenía quince plantas.

[Admiral Sir Erasmus Gower] 'No other contemporary officer approached his accumulated experience...' From Champion of the Quarterdeck: Admiral Sir Erasmus Gower 1742-1814.

You are hiding something from me, I say and Sidney Grice shakes his head. 'No,' he tells me quietly. 'I am hiding a great many things'.

And, as I lie in bed that night looking out into the starless sky, I think about that shadow on my guardian's face. The sadness has been there since the day I met Sidney Grice and I cannot imagine it will ever go away.

She threw her hands in the air. “You have got to be kidding me. Men are idiots.

You going to introduce us, or do you need to piss around her too, to make sure we stay away? We

I’m in love with him. Not the silly school-girl crush love I’ve had for him for years, but the all-consuming, wouldn’t want to live without him, love. The love where you fall a little more every day. The love where you do and say silly things just to see their face light up and hear their laugh.

I can’t wait for you to be my first.

This is special. I planned this...with you.” She turned a dark red. “I can have the other stuff later. Pink roses are my favorite.” She winked at me, the little vixen.

Much of this pattern of thought finds its echo in the Pre-Raphaelite Brotherhood – who were young enough to be Carlyle’s sons. The ‘brotherhood’ began in 1848 at 83 Gower Street, when a group of art students vowed ‘to produce thoroughly good pictures and statues’. Of the original seven, three members of the PRB – Dante Gabriel Rossetti, aged twenty, John Everett Millais, aged nineteen, and William Holman Hunt, aged twenty-one – went on to be famous artists. Other painters whom we think of as ‘Pre-Raphaelite’ – such as Ford Madox Brown himself – never in fact joined the Brotherhood, which was never a very tightly knit guild, and which dissolved with the years. One sees the way in which these

poet should not be some sweet-singing bird in a trap, feasting on the meat while blind to the net. The net is the meat, all those entanglements and snares and iron claws that hobble us and prevent our escape from the limits of our weak and fallen flesh.

A melhor e mais aproximada forma de expressão que podemos utilizar [para explicar o louco] talvez seja esta: a sua mente move-se em um círculo perfeito, porém diminuto. Um círculo pequeno é perfeitamente tão infinito quanto um círculo grante. Embora ele seja tão infinito, não é tão grande. Da mesma forma, a explicação de um louco é tão completa quanto a de uma pessoa sã, mas não é tão abrangente. Um bala de canhão pode ser tão redonda quanto o mundo, mas não é o mundo. Há uma coisa a que podemos chamar de 'universalidade restrita', como há uma coisa a que podemos chamar uma 'eternidade pequena e comprimida'. Poderemos verificar isso em muitas das religiões modernas. Ora, falando superficial e empiricamente, podemos afirmar que a mais forte e mais evidente marca de loucura é esta combinação de uma completude lógica com uma contração espiritual. A teoria de um lunático explica muitas coisas, mas não as explica de forma ampla. Isso quer dizer que, se tivermos de lidar com uma mente que esteja se tornando mórbida, devemos nos esforçar não tanto por lhe apresentar argumentos, mas por fornecer-lhe ar e convencê-la de que há algo muito mais límpido e mais refrescante fora da asfixia de um simples argumento. [...] Não procure discutir com os doidos como quem discute com hereges, mas procura, unicamente, quebrar-lhes o encanto, como se tratasse de um feitiço. [...] Não é bastante que o infeliz deseje a verdade: é necessário que deseje a saúde. Nada pode salvá-lo senão um desejo cego pela normalidade, como o de um animal feroz. Um homem não pode refletir sobre o mal mental que o acomete, porque é exatamente o próprio órgão do pensamento que está doente, indisciplinável e, por assim dizer, independente. Apenas poderá ser salvo pela vontade ou pela Fé. No momento em que a sua razão se move, move-se dentro da velha rotina circular e andará sempre à volta do seu círculo lógico, exatamente como um homem em um vagão de terceira classe do 'Inner Circle' andará sempre à roda do 'Inner Circle', até que se resolva a executar o voluntário, vigoroso e místico ato de descer em Gower Street. A decisão é, neste caso, o principal fator: uma porta deve ser fechada para sempre. Todo remédio será um remédio desesperado. Toda cura será uma cura milagrosa. Curar um louco não é discutir com um filósofo: é deitar fora um demônio.

When the light fails and belief fades into nothingness, and the season of your darkest ignorance begins.