Algebraic Quotes & Sayings

The reader will find no figures in this work. The methods which I set forth do not require either constructions or geometrical or mechanical reasonings: but only algebraic operations, subject to a regular and uniform rule of procedure. — Joseph-Louis Lagrange

I'm a young guy called 'commutative ring', but I was originally 'the ring of continuous functions on a compact Hausdorff space'. Now I am an algebraic object, so I must say goodbye to my home village, the space, but I will always keep it in my heart as a set of maximal ideals. — Kato

Algebraic to the limit! — Ryan North

Grandad taught me that the alien signs and symbols of algebraic equations were not just marks on paper. They were not flat. They were three-dimensional, and you could approach them from different directions, look at them from different ways, stand them on their heads. You could take them apart and put them back together in a variety of shapes, like Legos. I stopped being scared of them. — Mal Peet

As a graduate student I studied mathematics fairly broadly, and I was fortunate enough, besides developing the idea which led to 'Non-Cooperative Games,' also to make a nice discovery relating to manifolds and real algebraic varieties. — John Forbes Nash Jr.

As the sun eclipses the stars by its brilliancy, so the man of knowledge will eclipse the fame of others in assemblies of the people if he proposes algebraic problems, and still more if he solves them. — Brahmagupta

Any impatient student of mathematics or science or engineering who is irked by having algebraic symbolism thrust upon him should try to get along without it for a week. — Eric Temple Bell

If there are four equations and only three variables, and no one of the equations is derivable from the others by algebraic manipulation then there is another variable missing. — Talcott Parsons

Work/Loaf Ratio" ... I have spent fourteen years perfecting ... I won't bore you with a long-winded explanation of the "W/LR" save to say that it is an algebraic formula of such complex numeric subtlety that it can be understood only by mathematicians and hobos. — Gary Reilly

I made an appointment to see him and then ordered another beer. While I was drinking it I did some doodling on a piece of paper, the algebraic kind that you hope will help you think more clearly. When I finished doing that, I was more confused than ever. Algebra was never my strong subject. — Philip Kerr

As to the need of improvement there can be no question whilst the reign of Euclid continues. My own idea of a useful course is to begin with arithmetic, and then not Euclid but algebra. Next, not Euclid, but practical geometry, solid as well as plane; not demonstration, but to make acquaintance. Then not Euclid, but elementary vectors, conjoined with algebra, and applied to geometry. Addition first; then the scalar product. Elementary calculus should go on simultaneously, and come into vector algebraic geometry after a bit. Euclid might be an extra course for learned men, like Homer ... — Oliver Heaviside

The complexity of economics can be calculated mathematically. Write out the algebraic equation that is the human heart and multiply each unknown by the population of the world. — P. J. O'Rourke

Empowerment is the algebraic outcome of curiosity and humility. — Anonymous

Repression speaks about sex better than any other form of discourse / or so the modern experts maintain. How do people / get power over one another? is an algebraic question — Anne Carson

No scientific theory touches on the mysteries that the religious tradition addresses. A man asking why his days are short and full of suffering is not disposed to turn to algebraic quantum field theory for the answer. The answers that prominent scientific figures have offered are remarkable in their shallowness. — David Berlinski

If one divided all of human science into two parts - the one common to all men, the other particular to the learned - the latter would be quite small in comparison with the former. But we are hardly aware of what is generally attained, because it is attained without thought and even before the age of reason; because, moreover, learning is noticed only by its differences, and as in algebraic equations, common quantities count for nothing. — Jean-Jacques Rousseau

What's clarity like? Try to remember that funny feeling inside your head when you had math problems too difficult to solve: the faint buzzing noise in your ears, a heaviness on both sides of your skull, and the sensation that your brain is twitching inside your cranium like a fish on the beach. This is the opposite sensation of clarity. Yet for many people of my era, as they aged, this sensation became the dominant sensation of their lives. It was as though day-to-day twentieth century living had become an unsolvable algebraic equation. — Douglas Coupland

The teacher manages to get along still with the cumbersome algebraic analysis, in spite of its difficulties and imperfections, and avoids the smooth infinitesimal calculus, although the eighteenth century shyness toward it had long lost all point. — Felix Klein

To what end do I lead a simple life at all, pray? That I may teach others to simplify their lives? - and so all our lives be simplified merely, like an algebraic formula? Or not, rather, that I may make use of the ground I have cleared to live more worthily and profitably? — Henry David Thoreau

I regard it in fact as the great advantage of the mathematical technique that it allows us to describe, by means of algebraic equations, the general character of a pattern even where we are ignorant of the numerical values which will determine its particular manifestation. — Friedrich August Von Hayek

goal-directed self-imposed delay of gratification" is perhaps the essence of emotional self-regulation: the ability to deny impulse in the service of a goal, whether it be building a business, solving an algebraic equation, or pursuing the Stanley Cup. His finding underscores the role of emotional intelligence as a meta-ability, determining how well or how poorly people are able to use their other mental capacities. — Daniel Goleman

Gregor Mendel's years of research with green and yellow peas showed that such a thing must exist. Colors and other traits vary depending on many factors, such as temperature and soil content, but something is preserved whole; it does not blend or diffuse; it must be quantized. Mendel had discovered the gene, though he did not name it. For him it was more an algebraic convenience than a physical entity. — James Gleick

The semanticists maintained that everything depends on how you interpret the words "potato," "is" and "moving." Since the key here is the operational copula "is," one must examine "is" rigorously. Whereupon they set to work on an Encyclopedia of Cosmic Semasiology, devoting the first four volumes to a discussion of the operational referents of "is." The neopositivists maintained that it is not clusters of potatoes one directly perceives, but clusters of sensory impressions. Then, employing symbolic logic, they created terms for "cluster of impressions" and "cluster of potatoes," devised a special calculus of propositions all in algebraic signs and after using up several seas of ink reached the mathematically precise and absolutely undeniable conclusion that 0=0. — Stanislaw Lem

We must evaluate the political sympathies of other states and the effect war may have on them. To assess these things in all their ramifications and diversity is plainly a colossal task. Rapid and correct appraisal of them clearly calls for the intuition of a genius; to master all this complex mass by sheer methodical examination is obviously impossible. Bonaparte was quite right when he said that Newton himself would quail before the algebraic problems it could pose. — Carl Von Clausewitz

The most important use to which he had put his memory was that he had stuffed an unprecedented number of mathematical constants and equations into it. Most of us have very few mathematical constants in our mind, perhaps only the up-to-twelve-times multiplication table. Johnny had put in his mind layers and layers of algebraic verities. These were the explanation of his extraordinary powers of mental calculation. — Norman Macrae

[T]he democratic principle of "one man, one vote," viewed against a background of voting masses numbering several millions, only serves to demonstrate the pitiful helplessness of the inarticulate individual, who functions at the polls as the smallest indivisible arithmetical (and not always algebraic) unit. He acts in total anonymity, secrecy and legal irresponsibility. — Erik Von Kuehnelt-Leddihn

Every field has its taboos. In algebraic geometry the taboos are (1) writing a draft that can be followed by anyone but two or three of one's closest friends, (2) claiming that a result has applications, (3) mentioning the word 'combinatorial,' and (4) claiming that algebraic geometry existed before Grothendieck (only some handwaving references to 'the Italians' are allowed provided they are not supported by specific references). — Gian-Carlo Rota

The Analytical Engine weaves algebraic patterns, just as the Jacquard loom weaves flowers and leaves. — Ada King Lovelace

Oh, the laws of physics and of logic ... the number system ... the principle of algebraic substitution. These are ghosts. We just believe in them so thoroughly they seem real. — Robert M. Pirsig

I deliberately and consciously give preference to a dramatic, mythological way of thinking and speaking, because this is not only more expressive but also more exact than an abstract scientific terminology, which is wont to toy with the notion that its theoretic formulations may one fine day be resolved into algebraic equations. — C. G. Jung

Algebraic geometry seems to have acquired the reputation of being esoteric, exclusive, and very abstract, with adherents who are secretly plotting to take over all the rest of mathematics. In one respect this last point is accurate. — David Mumford

The algebraic sum of all the transformations occurring in a cyclical process can only be positive, or, as an extreme case, equal to nothing.
[Statement of the second law of thermodynamics, 1862] — Rudolf Clausius

Love and you shall be loved. All love is mathematically just, as much as two sides of an algebraic equation. — Ralph Waldo Emerson

Transcendental [numbers], They transcend the power of algebraic methods. — Leonhard Euler

Geometric calculus consists in a system of operations analogous to those of algebraic calculus, but in which the entities on which the calculations are carried out, instead of being numbers, are geometric entities which we shall define. — Giuseppe Peano

Relationships are like an algebraic equations:what happens on one side affect the other. — Kim Barnes

I think what's happened, Marlee, is that you've realized the world isn't an addition problem. We tell kids that sometimes. We pretend the world is straightforward, simple, easy. You do this, you get that. You're a good person and try your best, and nothing bad will happen. But the truth is, the world is much more like an algebraic equation. With variables and changes, complicated and messy. Sometimes there's more than one answer, and sometimes there is none. Sometimes we don't even know how to solve the problem. But usually, if we take things step by step, we can figure things out. You just have to remember to factor the equation, break it down into smaller parts. — Kristin Levine

And what about the most merciful Christian God, slowly roasting in the fires of hell all those who would not submit? Was He not an executioner? And was the number of those burned by the Christians on bonfires less than the number of burned Christians? Yet - you understand - this God was glorified for ages as the God of love. Absurd? No, on the contrary: it is testimony to the ineradicable wisdom of man, inscribed in blood. Even at that time - wild, shaggy - he understood: true, algebraic love of humanity is inevitably inhuman; and the inevitable mark of truth is - its cruelty. Just as the inevitable mark of fire is that it burns. Show me fire that does not burn. Well - argue with me, prove the contrary! — Yevgeny Zamyatin

The whole machinery of our intelligence, our general ideas and laws, fixed and external objects, principles, persons, and gods, are so many symbolic, algebraic expressions. They stand for experience; experience which we are incapable of retaining and surveying in its multitudinous immediacy. We should flounder hopelessly, like the animals, did we not keep ourselves afloat and direct our course by these intellectual devices. Theory helps us to bear our ignorance of fact. — George Santayana

Completely insane algebraic equations?" "You know us too well." Jess sat down in her — Jojo Moyes

Algebra reverses the relative importance of the factors in ordinary language. It is essentially a written language, and it endeavors to exemplify in its written structures the patterns which it is its purpose to convey. The pattern of the marks on paper is a particular instance of the pattern to be conveyed to thought. The algebraic method is our best approach to the expression of necessity, by reason of its reduction of accident to the ghostlike character of the real variable. — Alfred North Whitehead

The present author confesses that, to him, geometry is nothing at all, if not a branch of art ...
A Treatise on Algebraic Plane Curves — Julian Coolidge

All he really knew was that if he stayed here he would soon be the property of things that buzzed and snorted and hissed, that gave off fumes or stenches. In six months, he would be the owner of a large pink, trained ulcer, a blood pressure of algebraic dimensions, a myopia this side of blindness, and nightmares as deep as oceans and infested with improbable lengths of dream intestines through which he must violently force his way each night. — Ray Bradbury

The quantity of meaning compressed into small space by algebraic signs, is another circumstance that facilitates the reasonings we are accustomed to carry on by their aid. — Charles Babbage

The mathematicians have been very much absorbed with finding the general solution of algebraic equations, and several of them have tried to prove the impossibility of it. However, if I am not mistaken, they have not as yet succeeded. I therefore dare hope that the mathematicians will receive this memoir with good will, for its purpose is to fill this gap in the theory of algebraic equations. — Niels Henrik Abel

Cryptography has generated number theory, algebraic geometry over finite fields, algebra, combinatorics and computers. — Vladimir Arnold

The passion between the sexes has appeared in every age to be so nearly the same, that it may always be considered, in algebraic language as a given quantity. — Thomas Malthus

In the history of science it happens not infrequently that a reductionist approach leads to a spectacular success. Frequently the understanding of a complicated system as a whole is impossible without an understanding of its component parts. And sometimes the understanding of a whole field of science is suddenly advanced by the discover of a single basic equation. Thus it happened that the Schrodinger equation in 1926 and the Dirac equation in 1927 brought a miraculous order into the previously mysterious processes of atomic physics. The equations of Erwin Schrodinger and Paul Dirac were triumphs of reductionism. Bewildering complexities of chemistry and physics were reduced to two lines of algebraic symbols. These triumphs were in Oppenheimer's mind when he belittled his own discovery of black holes. Compared with the abstract beauty and simplicity of the Dirac equation, the black hole solution seemed to him ugly, complicated, and lacking in fundamental significance. — Freeman Dyson

In her misery she read a great deal, and discovered that she had lost something she had previously not really know she had: a soul.
What's that? It is easy to define negatively: it is simply that which sneaks off at the mention of algebraic series. — Robert Musil

I don't see how it's doing society any good to have so many members walking around with vague memories of algebraic formulas and geometric diagrams and clear memories of hating them. — Paul Lockhart

Is it a spiral of water in the tragic gleam of a revolver, an egg, a glistening arc or the floodgate of reason, a keen ear attuned to a mineral hiss, or a turbine of algebraic formulas? (On Man Ray's first photograms, 1921.) — Tristan Tzara

Poetry and code - and mathematics - make us read differently from other forms of writing. Written poetry makes the silent reader read three kinds of pattern at once; code moves the reader from a static to an active, interactive and looped domain; while algebraic topology allows us to read qualitative forms and their transformations. — Stephanie Strickland

That was probably the reason that history was more of an oracle than a science. Perhaps later, muck later, it would be taught by means of tables of statistics, supplemented by anatomical sections. The teacher would draw on the blackboard an algebraic formula representing the conditions of life of the masses of a particular nation at a particular period: 'Here, citizens, you see the objective factors which conditioned this historical process. — Arthur Koestler

This is a collaboration between a complex analyst, a dynamical system expert, and an arithmetical algebraic geometer. It sounds like a joke, a complex analyst, a dynamical system expert, and an arithmetical algebraic geometer walk into a bar ... — Jordan Ellenberg

In studying mathematics or simply using a mathematical principle, if we get the wrong answer in sort of algebraic equation, we do not suddenly feel that there is an anti-mathematical principle that is luring us into the wrong answers. — Eric Butterworth

Algebraic!
--Finn, Adventure Time — Finn

He was convinced this was a bribe, a kickback, to some Pentagon big shot, and he wanted proof. But that was a tall order, even to someone as brilliant as your brother. It's a little like understanding algebraic combinatorics if you still don't get long division. — Joseph Finder

There is no such thing as a 'real' representation of 'reality.' Except, perhaps, in algebraic formulae. — Claude Simon