Quotes About Algebraic

The 'economy of number' proposed by Peano is an economy of signs whose paradigm is algebraic, whose transparency is consensual, and whose operational effectiveness is therefore not in doubt. He thus participates forcefully in that movement of thought, victorious today, that wrests mathematics from its antique philosophical pedestal and represents it to us as a grammar of signs where all that matters is the making explicit of the code.

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

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.

Sie las in ihrem Leiden viel und entdeckte, daß ihr etwas verlorengegangen war, von dessen Besitz sie vordem nicht viel gewußt hatte: eine Seele. Was ist das? – Es ist negativ leicht bestimmt: es ist eben das, was sich verkriecht, wenn man von algebraischen Reihen hört.

The algebraic sum of all the transformations occurring in a cyclical process can only be positive, or, as an extreme case, equal to no

I like you when you're algebraic, said Ulf--and immediately regretted it. It was a flirtatious remark--describing somebody as algebraic was undoubtedly to cross a line. You would not normally describe an ordinary friend as algebraic, and then say that you liked her that way.

I like you when you're algebraic," said Ulf—and immediately regretted it. It was a flirtatious remark—describing somebody as algebraic was undoubtedly to cross a line. You would not normally describe an ordinary friend as algebraic, and then say that you liked her that way. He saw the effect on Anna, and his regret deepened. "Algebraic?" she said, half coyly. "Well, I'm very happy to enter into any equation.

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

completely insane algebraic equations?" "You know us too well." Jess sat down in her

From a purely mathematical perspective, a power law signifies nothing in particular—it's just one of many possible kinds of algebraic relationship. But when a physicist sees a power law, his eyes light up. For power laws hint that a system may be organizing itself. They arise at phase transitions, when a system is poised at the brink, teetering between order and chaos. They arise in fractals, when an arbitrarily small piece of a complex shape is a microcosm of the whole.

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.

In 1958, Fortune singled Nash out for his achievements in game theory, algebraic geometry, and nonlinear theory

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.

the simple algebraic equation ?+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-?t), and the dispersion relation tells us how the "wave number" k is related to the "angular frequency" ? in each of these elementary solutions.

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 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.

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

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.

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.

From the 1940s to 1970s, Piaget used algebraic or set theoretical concepts to describe this organization of operations, which he called "groupings

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.

I love algebra. Love it.