Permutation And Combination Quotes

The human brain, it has been said, is the most complexly organised structure in the universe and to appreciate this you just have to look at some numbers. The brain is made up of one hundred billion nerve cells or "neurons" which is the basic structural and functional units of the nervous system. Each neuron makes something like a thousand to ten thousand contacts with other neurons and these points of contact are called synapses where exchange of information occurs. And based on this information, someone has calculated that the number of possible permutations and combinations of brain activity, in other words the numbers of brain states, exceeds the number of elementary particles in the known universe.

In a library we are surrounded by many hundreds of dear friends, but they are imprisoned by an enchanter in these paper and leathern boxes; and though they know us, and have been waiting two, ten, or twenty centuries for us,—some of them,—and are eager to give us a sign and unbosom themselves, it is the law of their limbo that they must not speak until spoken to; and as the enchanter has dressed them, like battalions of infantry, in coat and jacket of one cut, by the thousand and ten thousand, your chance of hitting on the right one is to be computed by the arithmetical rule of Permutation and Combination,—not a choice out of three caskets, but out of half a million caskets, all alike.

Edison was by far the most successful and, probably, the last exponent of the purely empirical method of investigation. Everything he achieved was the result of persistent trials and experiments often performed at random but always attesting extraordinary vigor and resource. Starting from a few known elements, he would make their combinations and permutations, tabulate them and run through the whole list, completing test after test with incredible rapidity until he obtained a clue. His mind was dominated by one idea, to leave no stone unturned, to exhaust every possibility.

There are as many kinds of kisses as there are people on earth, as there are permutations and combinations of those people. No two people kiss alike—no two people fuck alike—but somehow the kiss is more personal, more individualized than the fuck.

I could see the combinations and permutations flutter through their minds. This was Boulder. It could easily be two moms. Two dads. A dad, a mom, and an orangutan. Three Amish hipsters and a transgendered Aboriginal mermaid.

For the real environment is altogether too big, too complex, and too fleeting for direct acquaintance. We are not equipped to deal with so much subtlety, so much variety, so many permutations and combinations. And although we have to act in that environment, we have to reconstruct it on a simpler model before we can manage it.

Life is full of permutations and combinations. Sometimes the order you do things matter sometimes it doesn’t, but in order to find the solution in life you must work through each possibility presented to find your opportunity.

The art of change ringing is peculiar to the English, and, like most English peculiarities, unintelligible to the rest of the world. To the musical Belgian, for example, it appears that the proper thing to do with a carefully tuned ring of bells is to play a tune upon it. By the English campanologist, the playing of tunes is considered to be a childish game, only fit for foreigners; the proper use of bells is to work out mathematical permutations and combinations.

It might weigh little over a kilogram but, taken on its own scale, the brain is unimaginably vast. One cubic millimetre contains between twenty and twenty-five thousand neurons. It has eighty-six billion of these cells, and each one is complex as a city and is in contact with ten thousand other neurons just like it. Within just one cubic centimetre of brain tissue, there is the same number of connections as there are stars in the Milky Way. Your brain contains a hundred trillion of them. Information in the form of electricity and chemicals flows around these paths in great forking trails and in circuits and feedback loops and fantastical storms of activity tat bloom to life speeds of up to a hundred and twenty metres per second. According to the neuroscientist V. S. Ramachandran, 'The number of permutations and combinations of activity that are theoretically possible exceeds the number of elementary particles in the universe.' And yet, he continues, 'We know so little about it that even a child's questions should be seriously entertained.

What of Thought? The Crew had developed a kind of shorthand whereby they could set forth any visions that might come their way. Conversations at the Spoon had become little more than proper nouns, literary allusions, critical or philosophical terms linked in certain ways. Depending on how you arranged the building blocks at your disposal, you were smart or stupid. Depending on how others reacted they were In or Out. The number of blocks, however, was finite. "Mathematically, boy," he told himself, "if nobody else original comes along, they're bound to run out of arrangements someday. What then?" What indeed. This sort of arranging and rearranging was Decadence, but the exhaustion of all possible permutations and combinations was death. It scared Eigenvalue, sometimes. He would go in back and look at the set of dentures. Teeth and metals endure.

The whole secret lies in confusing the enemy, so that he cannot fathom our real intent.’” To put it perhaps a little more clearly: any attack or other operation is CHENG, on which the enemy has had his attention fixed; whereas that is CH’I,” which takes him by surprise or comes from an unexpected quarter. If the enemy perceives a movement which is meant to be CH’I,” it immediately becomes CHENG.”] 4.    That the impact of your army may be like a grindstone dashed against an egg— this is effected by the science of weak points and strong. 5.    In all fighting, the direct method may be used for joining battle, but indirect methods will be needed in order to secure victory. [Chang Yu says: “Steadily develop indirect tactics, either by pounding the enemy’s flanks or falling on his rear.” A brilliant example of “indirect tactics” which decided the fortunes of a campaign was Lord Roberts’ night march round the Peiwar Kotal in the second Afghan war.76 6.    Indirect tactics, efficiently applied, are inexhausible as Heaven and Earth, unending as the flow of rivers and streams; like the sun and moon, they end but to begin anew; like the four seasons, they pass away to return once more. [Tu Yu and Chang Yu understand this of the permutations of CH’I and CHENG.” But at present Sun Tzu is not speaking of CHENG at all, unless, indeed, we suppose with Cheng Yu-hsien that a clause relating to it has fallen out of the text. Of course, as has already been pointed out, the two are so inextricably interwoven in all military operations, that they cannot really be considered apart. Here we simply have an expression, in figurative language, of the almost infinite resource of a great leader.] 7.    There are not more than five musical notes, yet the combinations of these five give rise to more melodies than can ever be heard. 8.    There are not more than five primary colors (blue, yellow, red, white, and black), yet in combination they produce more hues than can ever been seen. 9.    There are

The TVC universe will never collapse. Never. A hundred billion years, a hundred trillion; it makes no difference, it will always be expanding. Entropy is not a problem. Actually, ‘expanding’ is the wrong word; the TVC universe grows like a crystal, it doesn’t stretch like a balloon. Think about it. Stretching ordinary space increases entropy; everything becomes more spread out, more disordered. Building more of a TVC cellular automaton just gives you more room for data, more computing power, more order. Ordinary matter would eventually decay, but these computers aren’t made out of matter. There’s nothing in the cellular automaton’s rules to prevent them from lasting forever. Durham’s universe - being made of the same “dust” as the real one, merely rearranged itself. The rearrangement was in time as well as space; Durham’s universe could take a point of space-time from just before the Big Crunch, and follow it with another from ten million years BC. And even if there was only a limited amount of “dust” to work with, there was no reason why it couldn’t be reused in different combinations, again and again. The fate of the TVC automaton would only have to make internal sense - and the thing would have no reason, ever, to come to an end.

The transition to a higher order of functioning—or hooking on to a higher neural circuit—is often accompanied by considerable anxiety or a turbulence in personal life which seems as if the organism were falling apart or breaking up. This phenomenon of instability is really the way that every living organism—societies, human primates, chemical solutions, etc.—shakes itself, as it were, by myoclonisms or similar convulsions into new combinations and permutations for higher and new levels of development.

This “triplet code” hypothesis was also supported by elementary mathematics. If a two-letter code was used—i.e., two bases in a sequence (AC or TC) encoded an amino acid in a protein—you could only achieve 16 combinations, obviously insufficient to specify all twenty amino acids. A triplet-based code had 64 combinations—enough for all twenty amino acids, with extra ones still left over to specify other coding functions, such as “stopping” or “starting” a protein chain. A quadruplet code would have 256 permutations—far more than needed to encode twenty amino acids. Nature was degenerate, but not that degenerate.

their footfalls? Finally some combination thereof, or these many things as permutations of each other—as alternative vocabularies? However it was, by January I was winnowed, and soon dispensed with pills and analysis (the pills I was weaned from gradually), and took up my unfinished novel again, Our Lady of the Forest, about a girl who sees the Virgin Mary, a man who wants a miracle, a priest who suffers spiritual anxiety, and a woman in thrall to cynicism. It seems to me now that the sum of those figures mirrors the shape of my psyche before depression, and that the territory of the novel forms a map of my psyche in the throes of gathering disarray. The work as code for the inner life, and as fodder for my own biographical speculations. Depression, in this conceit, might be grand mal writer’s block. Rather than permitting its disintegration at the hands of assorted unburied truths risen into light as narrative, the ego incites a tempest in the brain, leaving the novelist to wander in a whiteout with his half-finished manuscript awry in his arms, where the wind might blow it away. I don’t find this facile. It seems true—or true for me—that writing fiction is partly psychoanalysis, a self-induced and largely unconscious version. This may be why stories threaten readers with the prospect of everything from the merest dart wound to a serious breach in the superstructure. To put it another way, a good story addresses the psyche directly, while the gatekeeper ego, aware of this trespass—of a message sent so daringly past its gate, a compelling dream insinuating inward—can only quaver through a story’s reading and hope its ploys remains unilluminated. Against a story of penetrating virtuosity—The Metamorphosis, or Lear on the heath—this gatekeeper can only futilely despair, and comes away both revealed and provoked, and even, at times, shattered. In lesser fiction—fiction as entertainment, narcissism, product, moral tract, or fad—there is also some element of the unconscious finding utterance, chiefly because it has the opportunity, but in these cases its clarity and force are diluted by an ill-conceived motive, and so it must yield control of the story to the transparently self-serving ego, to that ostensible self with its own small agenda in art as well as in life. * * * Like

By the end of this decade, permutations and combinations of genetic variants will be used to predict variations in human phenotype, illness, and destiny. Some diseases might never be amenable to such a genetic test, but perhaps the severest variants of schizophrenia or heart disease, or the most penetrant forms of familial cancer, say, will be predictable by the combined effect of a handful of mutations. And once an understanding of "process" has been built into predictive algorithms, the interactions between various gene variants could be used to compute ultimate effects on a whole host of physical and mental characteristics beyond disease alone. Computational algorithms could determine the probability of the development of heart disease or asthma or sexual orientation and assign a level of relative risk for various fates to each genome. The genome will thus be read not in absolutes, but in likelihoods-like a report card that does not contain grades but probabilities, or a resume that does not list past experiences but future propensities. It will become a manual for previvorship.

Familial schizophrenia (like normal human features such as intelligence and temperament) is thus highly heritable but only moderately inheritable. In other words, genes-hereditary determinants-are crucially important to the future development of the disorder. If you possess a particular combination of genes, the chance of developing the illness is extremely high: hence the striking concordance among identical twins. On the other hand, the inheritance of the disorder across generations is complex. Since genes are mixed and matched in every generation, the chance that you will inherit that exact permutation of variants from your father or mother is dramatically lower. In some families, perhaps, there are fewer gene variants, but with more potent effects-thereby explaining the recurrence of the disorder across generations. In other families, the genes may have weaker effects and require deeper modifiers and triggers-thereby explaining the infrequent inheritance. In yet other families, a single, highly penetrant gene is accidentally mutated in sperm or egg cells before conception, leading to the observed cases of sporadic schizophrenia.

Oedipa spent the next several days in and out of libraries and earnest discussions with Emory Bortz and Genghis Cohen. She feared a little for their security in view of what was happening to everyone else she knew. The day after reading Blobb's Peregrinations she, with Bortz, Grace, and the graduate students, attended Randolph Driblette's burial, listened to a younger brother's helpless, stricken eulogy, watched the mother, spectral in afternoon smog, cry, and came back at night to sit on the grave and drink Napa Valley muscatel, which Driblette in his time had put away barrels of. There was no moon, smog covered the stars, all black as a Tristero rider. Oedipa sat on the earth, ass getting cold, wondering whether, as Driblette had suggested that night from the shower, some version of herself hadn't vanished with him. Perhaps her mind would go on flexing psychic muscles that no longer existed; would be betrayed and mocked by a phantom self as the amputee is by a phantom limb. Someday she might replace whatever of her had gone away by some prosthetic device, a dress of a certain color, a phrase in a ' letter, another lover. She tried to reach out, to whatever coded tenacity of protein might improbably have held on six feet below, still resisting decay-any stubborn quiescence perhaps gathering itself for some last burst, some last scramble up through earth, just-glimmering, holding together with its final strength a transient, winged shape, needing to settle at once in the warm host, or dissipate forever into the dark. If you come to me, prayed Oedipa, bring your memories of the last night. Or if you have to keep down your payload, the last five minutes-that may be enough. But so I'll know if your walk into the sea had anything to do with Tristero. If they got rid of you for the reason they got rid of Hilarius and Mucho and Metzger-maybe because they thought I no longer needed you. They were wrong. I needed you. Only bring me that memory, and you can live with me for whatever time I've got. She remembered his head, floating in the shower, saying, you could fall in love with me. But could she have saved him? She looked over at the girl who'd given her the news of his death. Had they been in love? Did she know why Driblette had put in those two extra lines that night? Had he even known why? No one could begin to trace it. A hundred hangups, permuted, combined-sex, money, illness, despair with the history of his time and place, who knew. Changing the script had no clearer motive than his suicide. There was the same whimsy to both. Perhaps-she felt briefly penetrated, as if the bright winged thing had actually made it to the sanctuary of her heart-perhaps, springing from the same slick labyrinth, adding those two lines had even, in a way never to be explained, served him as a rehearsal for his night's walk away into that vast sink of the primal blood the Pacific. She waited for the winged brightness to announce its safe arrival. But there was silence. Driblette, she called. The signal echoing down twisted miles of brain circuitry. Driblette! But as with Maxwell's Demon, so now. Either she could not communicate, or he did not exist.

creativity is nothing but making different permutation and combination of various ideas.

We are eternal. We change, we die, we return, and the combinations and permutations go on forever and ever. And slowly, we progress. Ever higher and higher. I imagine that long ago, we were simple vibrations in nothingness, small songs, each individual differing only in subtleties. How long the simple songs lasted, who can say? But they became more complex and more involved with each other. The songs joined and withdrew. Again and again they found patterns together, and the patterns broke down to make new patterns. New collections of songs, new styles, new addings and takings away. At times, what might seem setbacks—even disasters—happened, but across the greatest spans of time, there was progress. You must draw back before you can leap. “And finally, that progress has come down to us. There was no beginning. There shall be no end. Only variations on a theme, never repeating, always improving.

If an idea becomes a piece of private property, it is likely to grow stale and brittle over time. If it migrates throughout an organization, undergoing continual permutations, combinations, and mutations, it is likely to flourish.

Before the internet there was simply no way to coordinate a million people in real time or to get a hundred thousand workers collaborating on one project for a week. Now we can, so we are quickly exploring all the ways in which we can combine control and the crowd in innumerable permutations.

The DNA is made up of two opposite spirals, positive and negative, which can easily be considered isomorphic to I Ching's yin () and yang (), or Leibniz's 0 and 1, or Joyce's and . These are bonded by four amino acids—adenine, guanine, cytosine and thymine, which are usually abbreviated A, G, C, T. If one dares to consider these isomorphic with active yang (), passive yang (), active yin () and passive yin (), or Leibniz's 01,11,10 and 00, or Joyce's and , then the parallel becomes staggering. In forming RNA messages—the genetic code—the T (thymine) drops out to be replaced by U (uracil) but we still have four elements—A, G, C, U—and if we permutate them by the now-familiar rule, making all possible combinations of three out of these basic four "letters," we get again 43 or 64 "words," which are the 64 elements of the genetic language.

If you understand at some point of time in your life: ‘even when all these hormones, chemicals, body, mind, ups, downs, all these impermanent things are not functioning, I am existing, I exist, so there is something more than these impermanent existences in me…’ if you get that glimpse, if you cognize it, and if it hits your existence,then you know the cosmos also as parameshwara, existence, more than the impermanent permutation combinations.

creates endless permutations and combinations

Why is life hard on some while being soft on others? It would appear as if it feels a monotonous regimen would bore people to death, thereby bringing the creation to an unintended end. So, for the larger good of mankind, it could be constrained to contrive individual inequities to keep alive the general interest in it. Wonder how it prepares the black list for the fate to act upon! As all are dear to it were it not possible that blindfolded, it would go in for random selection with a sinking heart! And once fate gets hold of life’s blacklist, won’t weddings come in handy for it to impart misery in many wrong permutations and provide bliss in a few right combinations!

He had another rule, from psychology, which, if you're interested in wisdom, ought to be part of your repertoire-like the elementary mathematics of permutations and combinations.His rule for all the Braun Company's communications was called the five Ws-you had to tell who was going to do what, where, when, and why. And if you wrote a letter or directive in the Braun Company telling somebody to do something, and you didn't tell him why, you could get fired.

Walter Lippmann (1914; 1922; 1925) faced more squarely than other commentators of his time the inevitable limits of human cognitive ability in politics. “Once you touch the biographies of human beings,” he wrote (1914, 215), “the notion that political beliefs are logically determined collapses like a pricked balloon.” He saw that the cherished ideas and judgments we bring to politics are stereotypes and simplifications with little room for adjustment as the facts change (1922, 16): “For the real environment is altogether too big, too complex, and too fleeting for direct acquaintance. We are not equipped to deal with so much subtlety, so much variety, so many permutations and combinations. And although we have to act in that environment, we have to reconstruct it on a simpler model before we can manage it.” Lippmann remains the deepest and most thoughtful of the modern critics of the psychological foundations of the folk theory of democracy.

Hope the English literature will invent a few more alphabets to avoid plagiarism. The permutation and combination of 26 alphabets even a human calculator can do, no need for plagiarism software

I constantly repeated these notions to myself, spending hours stroking and probing the cube. The outcomes? I still had not succeeded in solving the rubik’s cube! I did not even solve a single side! I was not at all able to find a feasible method to deal with simultaneous permutations of combinations, nor find ways to lead my hands into dexterous motions... Nonetheless, for another hour, I persisted in repeating these notions, hoping I might be able to solve the cube.

Permutations are what you use when the order matters. For instance, if 8 people are racing in a track meet, and you want to find the different ways they could get 1st, 2nd, and 3rd place, then the order matters. So you would use a permutation. Combinations are what you use when the order doesn’t matter. For instance, if you have 10 different pieces of clothing you want to take on a trip, but you can only fit 7 of them in your suitcase, it matters which 7 you pick, but it doesn’t matter what order you put them in the suitcase, so you would use a combination

An important thing to know is that there will always be at least as many permutations of a set as combinations, and typically many more permutations than combinations.

Brain has infinite permutation and combination of wormhole.

When you have to choose, use combinations; when you arrange or order, use permutations! That’s all there is to it!

Our tough problem basically uses just one permutation, two combinations, and a simple summation. The trick is to keep each calculation separate from others, and use the right numbers for each.