Array Of Random Quotes

The combination of random branching and orderly underlying lattice creates the exquisite complexity of the snowflake, poised on the brink of chaos and minutely sensitive to tiny variations in the temperature and humidity of the air.

I know this may sound like an excuse," he said. "But tensor functions in higher differential topology, as exemplified by application of the Gauss-Bonnett Theorem to Todd Polynomials, indicate that cohometric axial rotation in nonadiabatic thermal upwelling can, by random inference derived from translational equilibrium aggregates, array in obverse transitional order the thermodynamic characteristics of a transactional plasma undergoing negative entropy conversions." "Why don't you just shut up," said Hardesty.

The difference between solids and liquids is, then, that in a solid the atoms are arranged in some kind of an array, called a crystalline array, and they do not have a random position at long distances; the position of the atoms on one side of the crystal is determined by that of other atoms millions of atoms away on the other side of the crystal.

Our precious lives, when you step back and look at them, are a kind of game. Try imagining the game described by the exciting copy above. A literal once-in-a-lifetime adventure—the grand game of life. You start playing. First, there’s a random character creation process that proceeds automatically as a collaboration between your parents. There’s the heartwarming opening with your mom and your dad and a thousand blessings and all that, and then finally, you get to dive in. You get a rough grasp on the controls, and then you’re tossed into “school,” a microcosmic tutorial for the heavy seas of society— The game’s setting—Earth. Awaiting us as we’re tossed into a corner of that oversized map is a massive sandbox game. There we have a vast array of choices, a spectacular degree of freedom, and countless minigames. Inspired by the hype, we advance just as advertised, but it’s not long before we realize something. —We’ve been had.

The differ- ence between solids and liquids is, then, that in a solid the atoms are arranged in some kind of an array, called a crystalline array, and they do not have a random position at long distances; the position of the atoms on one side of the crystal is determined by that of other atoms millions of atoms away on the other side of the crystal. Figure 1-4 is an invented arrangement for ice, and although it con- tains many of the correct features of ice, it is not the true arrangement. One of the correct features is that there is a part of the symmetry that is hexagonal. You can see that if we turn the picture around an axis by 120°, the picture returns to itself. So there is a symmetry in the ice which accounts for the six-sided appearance of snowflakes. Another thing we can see from Fig. 1-4 is why ice shrinks when it melts. The particular crystal pattern of ice shown here has many "holes" in it, as does the true ice structure. When the organization breaks down, these holes can be occupied by molecules. Most simple substances, with the exception of water and type metal, expand upon melting, because the atoms are closely packed in the solid crystal and upon melting need more room to jiggle around, but an open structure collapses, as in the case of water.

In 1931, amid that incredible transformation, a brilliant young Russian psychologist named Alexander Luria recognized a fleeting “natural experiment,” unique in the history of the world. He wondered if changing citizens’ work might also change their minds. When Luria arrived, the most remote villages had not yet been touched by the warp-speed restructuring of traditional society. Those villages gave him a control group. He learned the local language and brought fellow psychologists to engage villagers in relaxed social situations—teahouses or pastures—and discuss questions or tasks designed to discern their habits of mind. Some were very simple: present skeins of wool or silk in an array of hues and ask participants to describe them. The collective farmers and farm leaders, as well as the female students, easily picked out blue, red, and yellow, sometimes with variations, like dark blue or light yellow. The most remote villagers, who were still “premodern,” gave more diversified descriptions: cotton in bloom, decayed teeth, a lot of water, sky, pistachio. Then they were asked to sort the skeins into groups. The collective farmers, and young people with even a little formal education, did so easily, naturally forming color groups. Even when they did not know the name of a particular color, they had little trouble putting together darker and lighter shades of the same one. The remote villagers, on the other hand, refused, even those whose work was embroidery. “It can’t be done,” they said, or, “None of them are the same, you can’t put them together.” When prodded vigorously, and only if they were allowed to make many small groups, some relented and created sets that were apparently random. A few others appeared to sort the skeins according to color saturation, without regard to the color. Geometric shapes followed suit. The greater the dose of modernity, the more likely an individual grasped the abstract concept of “shapes” and made groups of triangles, rectangles, and circles, even if they had no formal education and did not know the shapes’ names. The remote villagers, meanwhile, saw nothing alike in a square drawn with solid lines and the same exact square drawn with dotted lines. To Alieva, a twenty-six-year-old remote villager, the solid-line square was obviously a map, and the dotted-line square was a watch. “How can a map and a watch be put together?” she asked, incredulous. Khamid, a twenty-four-year-old remote villager, insisted that filled and unfilled circles could not go together because one was a coin and the other a moon.

If a season like the Great Rebellion ever came to him again, he feared, it could never be in that same personal, random array of picaresque acts he was to recall and celebrate in later years at best furious and nostalgic; but rather with a logic that chilled the comfortable perversity of the heart, that substituted capability for character, deliberate scheme for political epiphany (so incomparably African); and for Sarah, the sjambok, the dances of death between Warmbad and Keetmanshoop, the taut haunches of his Firelily, the black corpse impaled on a thorn tree in a river swollen with sudden rain, for these the dearest canvases in his soul's gallery, it was to substitute the bleak, abstracted and for him rather meaningless hanging on which he now turned his back, but which was to backdrop his retreat until he reached the Other Wall, the engineering design for a world he knew with numb leeriness nothing could now keep from becoming reality, a world whose full despair he, at the vantage of eighteen years later, couldn't even find adequate parables for, but a design whose first fumbling sketches he thought must have been done the year after Jacob Marengo died, on that terrible coast, where the beach between Luderitzbucht and the cemetery was actually littered each morning with a score of identical female corpses, an agglomeration no more substantial-looking than seaweed against the unhealthy yellow sand; where the soul's passage was more a mass migration across that choppy fetch of Atlantic the wind never left alone, from an island of low cloud, like an anchored prison ship, to simple integration with the unimaginable mass of their continent; where the single line of track still edged toward a Keetmanshoop that could in no conceivable iconology be any part of the Kingdom of Death; where, finally, humanity was reduced, out of a necessity which in his loonier moments he could almost believe was only Deutsch-Sudwestafrika's (actually he knew better), out of a confrontation the young of one's contemporaries, God help them, had yet to make, humanity was reduced to a nervous, disquieted, forever inadequate but indissoluble Popular Front against deceptively unpolitical and apparently minor enemies, enemies that would be with him to the grave: a sun with no shape, a beach alien as the moon's antarctic, restless concubines in barbed wire, salt mists, alkaline earth, the Benguela Current that would never cease bringing sand to raise the harbor floor, the inertia of rock, the frailty of flesh, the structural unreliability of thorns; the unheard whimper of a dying woman; the frightening but necessary cry of the strand wolf in the fog.

We’re talking about fundamentals here; the fundamental physical laws pertaining to the day-to-day running of the universe. Physicists call them the fundamental constants—things like the masses of atomic particles, the speed of light, the electric charges of electrons, the strength of gravitational force.… They’re beginning to realize just how finely balanced they are. One flip of a decimal point either way and things would start to go seriously wrong. Matter wouldn’t form, stars wouldn’t twinkle, the universe as we know it wouldn’t exist and, if we insist on taking the selfish point of view in the face of such spectacular, epic, almighty destruction, nor would we. The cosmic harmony that made life possible exists at the mercy of what appear, on the face of it, to be unlikely odds. Who or what decided at the time of the Big Bang that the number of particles created would be 1 in 1 billion more than the number of antiparticles, thus rescuing us by the width of a whisker from annihilation long before we even existed (because when matter and antimatter meet, they cancel each other out)? Who or what decided that the number of matter particles left behind after this oversize game of cosmic swapping would be exactly the right number to create a gravitational force that balanced the force of expansion and didn’t collapse the universe like a popped balloon? Who decided that the mass of the neutron should be just enough to make the formation of atoms possible? That the nuclear force that holds atomic nuclei together, in the face of their natural electromagnetic desire to repulse each other, should be just strong enough to achieve this, thus enabling the universe to move beyond a state of almost pure hydrogen? Who made the charge on the proton exactly right for the stars to turn into supernovas? Who fine-tuned the nuclear resonance level for carbon to just delicate enough a degree that it could form, making life, all of which is built on a framework of carbon, possible? The list goes on. And on. And as it goes on—as each particularly arrayed and significantly defined property, against all the odds, and in spite of billions of alternative possibilities, combines exquisitely, in the right time sequence, at the right speed, weight, mass, and ratio, and with every mathematical quality precisely equivalent to a stable universe in which life can exist at all—it adds incrementally in the human mind to a growing sense, depending on which of two antithetical philosophies it chooses to follow, of either supreme and buoyant confidence, or humble terror. The first philosophy says this perfect pattern shows that the universe is not random; that it is designed and tuned, from the atom up, by some supreme intelligence, especially for the purpose of supporting life. The other says it’s a one in a trillion coincidence.

It was here the ice had truly done it's magic. Twisted and gouging, it had sculpted the land. Making the region unlike any other in the cascades, it had scooped and shaped pockets, which filled with water and became a dazzling array of lakes. Over six hundred were carved from the landscape between what later were called Stevens and Snoqualmie passes. Randomly scattered, they were an incomparable assortment of high, granite-bound tarns, shadowy ponds on the mountainside, and wide, long lakes in the valleys.

Arrays are great if you want to read random elements because you can look up any element in your array instantly.

In any case, the theory of Brownian motion was independently developed in 1900 by a Frenchman, Louis Bachelier. Bachelier was not actually concerned with the motion of microscopic particles suspended in a liquid. He was concerned with prices on the French stock market. Prices on the Bourse, like particles in a liquid, are subject to a vast array of random forces, so many that the prices’ behavior can only be studied probabilistically. This is exactly what Bachelier did in his remarkable doctoral thesis, “The Theory of Speculation.” Yet although his paper is couched in terms of futures and stock options and “call-o-more’s” (whatever those are), the mathematics is identical to that of Brownian motion, and Bachelier’s equation explaining the drift of prices with time is the same as the one Einstein later derived for the position of particles. In his paper Bachelier anticipated the Black-Scholes approach to options trading, and for his prescient work he has in recent years been crowned the “father of economic modeling.” At the time, though, Bachelier seems to have been ignored, and he passed into obscurity. Could Einstein have known of his predecessor’s work and merely transplanted the mathematics to particles? I am aware of no evidence that this is the case.

Mombasah-city, with her brave array of sumptuous palace, proudest edifice, defaced, deformed by fire and steel shall pay in kind the tale of byegone malefice. Thence on those Indian shores which proud display their hostile fleets, and warlike artifice 'gainst the Lusians, with his sail and oar shall young Lourenço work th' extremes of war. What mighty vessels Sam'orim's orders own covering Ocean, with his iron hail poured from hot copper-tube in thunder-tone all shall he shatter, rudder, mast and sail; then with his grapples boldly, deftly thrown, the hostile Ammiral he shall assail, board her, and only with the lance and sword shall slay four hecatombs of Moors abhor'd. But God's prevision 'scaping human sight, alone who knows what good best serves His end, shall place the Hero where ne toil ne might his lost young life availeth to forfend. In Cháúl-bay, where fierce and furious fight with fire and steel shall fervid seas offend, th' Infidel so shall deal that end his days where Egypt's navy doth conjoin Cambay's. There shall the pow'er of man'ifold enemies, — for only stronger force strong force can tire,— and Winds defaulting and fierce injuries of Ocean, 'gainst a single life conspire : Here let all olden men from death arise to see his Valour, catch his noble fire : A second Scæva see who, hackt and torn, laughs at surrender, quarter holds in scorn. With the fierce torture of a mangled thigh, torn off by bullet which at random past, his stalwart arms he ceaseth not to ply, that fiery Spirit flaming to the last : Until another ball clean cuts the tie so frail that linkèd Soul and Body fast ;— the Soul which loosed from her prison fleets whither the prize eterne such Conqueror greets. Go, Soul! to Peace from Warfare turbulent wherein thou meritedst sweet Peace serene ! for those torn tortured limbs, that life so rent who gave thee life prepareth vengeance keen : I hear een now the furious storm ferment, threating the terrible eternal teen, of Chamber, Basilisco, Saker-fire, to Mameluke cruel and Cambayan dire. See with stupendous heart the war to wage, driven by rage and grief the Father flies, paternal fondness urging battle-gage, fire in his heart and water in his eyes : Promise the sire's distress, the soldier's rage, a bloody deluge o'er the knees shall rise on ev'ry hostile deck: This Nyle shall fear, Indus shall sight it, and the Gange shall hear.

In 2020, researchers found that parasitic plants can read this changing light ratio to know who or what is nearby. In a lab, parasitic dodder vine seedlings appeared to detect the size, shape, and distance of neighboring plants, and used that information to decide which plants to grow toward and parasitize. This makes sense; dodders don’t photosynthesize. As seedlings, they have very little time to locate a good host before they run out of their built-in supply of energy. And once a parasitic vine commits to winding around a host plant, their fates are forever entwined too. Choosing the right one quickly is an absolute must. Growing blindly in a random direction would be disastrous much of the time. To the researchers’ surprise, the dodder’s assessment of red light ratios appeared to be exquisitely fine-grain. In the lab, they used a combination of far-red LED arrays and real plants to set up tests; when given the option of LEDs arranged to resemble light passing through a grass-shaped plant and another resembling the body of a branched plant, the seedlings chose the direction of the “branched” one (dodders can’t grow on grasses). They also chose to grow toward the nearer of any two same-sized plants, even if the difference in distance was only four centimeters. It’s not a stretch to say that this parasitic plant can, in this basic way, see its host—or at least the size and shape of it.

The ‘quantitative revolution’ in geography required the discipline to adopt an explicitly scientific approach, including numerical and statistical methods, and mathematical modelling, so ‘numeracy’ became another necessary skill. Its immediate impact was greatest on human geography as physical geographers were already using these methods. A new lexicon encompassing the language of statistics and its array of techniques entered geography as a whole. Terms such as random sampling, correlation, regression, tests of statistical significance, probability, multivariate analysis, and simulation became part both of research and undergraduate teaching. Correlation and regression are procedures to measure the strength and form, respectively, of the relationships between two or more sets of variables. Significance tests measure the confidence that can be placed in those relationships. Multivariate methods enable the analysis of many variables or factors simultaneously – an appropriate approach for many complex geographical data sets. Simulation is often linked to probability and is a set of techniques capable of extrapolating or projecting future trends.

Wendell's first inclination upon waking from the dead was, naturally, to throw a party. At this he failed, for a party was already unfolding. A troupe of musicians had established themselves on the lakeshore below the gardens, where there is a large pavilion; another was set up in the banquet hall, which, when Wendell and I arrived, we found already bursting with a chaotic array of food. There were oysters from the southern coast, whole roasted trout, a bubbling vat of caramel for dipping apples, and bread loaves positioned randomly about the room, as well as the queer blue sandwich cakes that were a court favorite--- the blue came from blueberry preserves and a sharp cheese, which were layered with a sweet cloudlike batter. From the look and smell of things, they should have been dreadful, but I had already acquired a taste for them.