Equation Quotes
The method of successive approximations is often applied to proving existence of solutions to various classes of functional equations; moreover, the proof of convergence of these approximations leans on the fact that the equation under study may be majorised by another equation of a simple kind. Similar proofs may be encountered in the theory of infinitely many simultaneous linear equations and in the theory of integral and differential equations. Consideration of semiordered spaces and operations between them enables us to easily develop a complete theory of such functional equations in abstract form.
Leonid Kantorovich
You could never teach other people anything that mattered. The important things they had to learn for themselves, almost always by making mistakes, so that the lessons arrived too late to help. Experience was in that sense useless. It was precisely what could not be passed along in a lesson or an equation.
Kim Stanley Robinson
If you wish to alter or annihilate a pyramid of numbers in a serial relation, you alter or remove the bottom number. If we wish to annihilate the junk pyramid, we must start with the bottom of the pyramid: the Addict in the Street, and stop tilting quixotically for the "higher ups" so called, all of whom are immediately replaceable. The addict in the street who must have junk to live is the one irreplaceable factor in the junk equation. When there are no more addicts to buy junk there will be no junk traffic. As long as junk need exists, someone will service it.
William S. Burroughs
Elegance requires that the number of defining equations be small. Five is better than ten, and one is better than five. On this score, one might facetiously say that String Theory is the ultimate epitome of elegance. With all the years that String Theory has been studied, no one has found even a single defining equation! The number at present count is zero. We know neither what the fundamental equations of the theory are nor even if it has any.
Leonard Susskind
In the social equation, the value of a single life is nil; in the cosmic equation, it is infinite... Not only communism, but any political movement which implicitly relies on purely utilitarian ethics, must become a victim to the same fatal error. It is a fallacy as naïve as a mathematical teaser, and yet its consequences lead straight to Goya's Disasters, to the reign of the guillotine, the torture chambers of the Inquisition, or the cellars of the Lubianka.
Arthur Koestler
Von Neumann languages do not have useful properties for reasoning about programs. Axiomatic and denotational semantics are precise tools for describing and understanding conventional programs, but they only talk about them and cannot alter their ungainly properties. Unlike von Neumann languages, the language of ordinary algebra is suitable both for stating its laws and for transforming an equation into its solution, all within the "language."
John Backus
Much in the way Olympic athletes optimize their game by paying an enormous - borderline maniacal - amount of attention to things like diet, exercise, sleep, and of course the essential R&R, we all would do well to pay more attention to those key aspects of our lives that comprise our overall health equation.
David Agus