Quotes about equation

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Source: Mathematical Thought from Ancient to Modern Times (1972), pp. 252-253.

Source: Studies in the National Income and Expenditure of the United Kingdom, 1954, p. 295; as cited in: John Chipman (2013) Advanced Econometric Theory, p. 275

Youtube, Other, Biblical Family Values https://www.youtube.com/watch?v=bldw8X5apnY (July 11, 2015)

Irving Langmuir, "The Constitution and Fundamental Properties of Solids and Liquids. Part I. Solids.", Journal of the American Chemical Society, September 5, 1916

“Libertarian Propositions on Violence Within and Between Nations: A Test Against Published Research Results," The Journal of Conflict Resolution, 29, Sage Publications, (September, 1985): pp. 419-455. https://www.hawaii.edu/powerkills/DP85.HTM

Constance Reid Hilbert (Springer-Verlag, 1996) [ISBN 0-387-94674-8] p. 182. Also quoted in Max Jammer, The Conceptual Development of Quantum Mechanics (McGraw-Hill, 1966) pp. 207-208. Jammer cites the original reference: Edward U. Condon 60 Years of Quantum Physics, Physics Today 15 37-49 (1962)

Source: The Romantic Generation (1995), Ch. 5 : Chopin: Counterpoint and the Narrative Forms

Source: The life of Francis Place, 1771-1854, 1898, p. 18

The Renaissance in India (1918)

An interview with Ravi Gomatam by Thomas Beardy for Clarion Call magazine (Clarion University's newspaper) There Consciousness Within Science?" http://www.vedicsciences.net/articles/consciousness-in-science.html#Consciousness-Science"Is, 1990.

Global Ideas from Pluto's Challenger (May 21, 2009)

Encyclopedia Brittanica article, quoted by Patricia Fara in Science A Four Thousand Year History (2009) citing Simon Schaffer article in The Values of Precision (1995) ed. M. Norton Wise

"Thomson & Tait's Natural Philosophy" in Nature, Vol. 7 (Mar. 27, 1873) A review of Elements of Natural Philosophy https://archive.org/details/elementsnatural00kelvgoog (1873) by Sir W. Thomson, P. G. Tait. See Nature, Vol. 7-8, https://archive.org/details/nature7818721873lock Nov. 1872-Oct. 1873, pp. 399-400, or The Scientific Papers of James Clerk Maxwell, p. 328. https://books.google.com/books?id=lzlRAAAAYAAJ&pg=PA328

"Muller Bros. Moving & Storage", pp. 200–201
Eight Little Piggies (1993)

Source: Knowledge and Human Interests, 1971, p. 4

Source: Structure of American economy, 1919-1929, 1941, p. 74.

Number: The Language of Science (1930)

All You Can Eat: Greed, Lust and the New Capitalism (2001)

Source: The Four Pillars of Investing (2002), Chapter 2, Measuring The Beast, p. 54.

“A Few Notes on the Culture” (pp. 168-169)
Short fiction, The State of the Art (1991)

1915 - 1940
Source: a letter to art-seller in New York Pierre Matisse, [son of Henri Matisse, 19 February 1936]; the Pierre Matisse Gallery Archives, The Pierpont Morgan Library, New York MA 5020

“ When Merit-Based Hiring Is Deemed Racist, Bridges Fall Down https://www.unz.com/imercer/when-merit-based-hiring-is-deemed-racist-bridges-fall-down/,” The Unz Review, March 29, 2018
2010s, 2018

From Frédéric Louis Ritter's French Tr. Introduction à l'art Analytique (1868) utilizing Google translate with reference to English translation in Jacob Klein, Greek Mathematical Thought and the Origin of Algebra (1968) Appendix
In artem analyticem Isagoge (1591)

Kosmos (1932), Above is Beginning Quote of the Last Chapter: Relativity and Modern Theories of the Universe -->

Biocentrism and the Existence of God http://www.huffingtonpost.com/robert-lanza/does-god-exist-or-not-new_b_802103.html, Huffington Post, January 3, 2011.

1960s, Playboy Interview (1969)

Source: Squaring the Circle (1913), p. 12

"Chris DeRose: Vegan Easy Challenge Ambassador", interview with VeganEasy.org (2011) https://web.archive.org/web/20111012130026/http://veganeasy.org/Chris-DeRose.

The point P where the two parabolas intersect is given by<center><math>\begin{cases}y^2 = bx\\x^2 = ay\end{cases}</math></center>whence, as before,<center><math>\frac{a}{x} = \frac{x}{y} = \frac{y}{b}.</math></center>
Apollonius of Perga (1896)

Science and the Unseen World (1929)
Context: If to-day you ask a physicist what he has finally made out the æther or the electron to be, the answer will not be a description in terms of billiard balls or fly-wheels or anything concrete; he will point instead to a number of symbols and a set of mathematical equations which they satisfy. What do the symbols stand for? The mysterious reply is given that physics is indifferent to that; it has no means of probing beneath the symbolism. To understand the phenomena of the physical world it is necessary to know the equations which the symbols obey but not the nature of that which is being symbolised.... this newer outlook has modified the challenge from the material to the spiritual world.<!--III, p.30

In Quest of Democracy (1991)
Context: The words 'law and order' have so frequently been misused as an excuse for oppression that the very phrase has become suspect in countries which have known authoritarian rule. [... ] There is no intrinsic virtue to law and order unless 'law' is equated with justice and 'order' with the discipline of a people satisfied that justice has been done. Law as an instrument of state oppression is a familiar feature of totalitarianism. Without a popularly elected legislature and an independent judiciary to ensure due process, the authorities can enforce as 'law' arbitrary decrees that are in fact flagrant negations of all acceptable norms of justice. There can be no security for citizens in a state where new 'laws' can be made and old ones changed to suit the convenience of the powers that be. The iniquity of such practices is traditionally recognized by the precept that existing laws should not be set aside at will.

The Structure of the Universe: An Introduction to Cosmology (1949)
Context: The models of Einstein and de Sitter are static solutions of Einstein's modified gravitational equations for a world-wide homogeneous system. They both involve a positive cosmological constant &lambda;, determining the curvature of space. If this constant is zero, we obtain a third model in classical infinite Euclidean space. This model is empty, the space-time being that of Special Relativity.
It has been shown that these are the only possible static world models based on Einstein's theory. In 1922, Friedmann... broke new ground by investigating non-static solutions to Einstein's field equations, in which the radius of curvature of space varies with time. This Possibility had already been envisaged, in a general sense, by Clifford in the eighties.<!--p.82

Pages 713–714.
"The Marxian Theory of Value: Das Kapital: A Criticism" (1884)
Context: It is true also that Marx elsewhere virtually defines value so as to make it essentially dependent upon human labour (p. 81 [43a]). But for all that his analysis is based on the bare fact of exchangeability. This fact alone establishes Verschiedenkeit and Ghichheit, heterogeneity and homogeneity. Any two things which normally exchange for each other, whether products of labour or not, whether they have, or have not, what we choose to call value, must have that "common something" in virtue of which things exchange and can be equated with each other; and all legitimate inferences as to wares which are drawn from the bare fact of exchange must be equally legitimate when applied to other exchangeable things. Now the "common something," which all exchangeable things contain, is neither more nor less than abstract utility, i. e. power of satisfying human desires. The exchanged articles differ from each other in the specific desires which they satisfy, they resemble each other in the degree of satisfaction which they confer. The Verschiedenheit is qualitative, the Gleichheit is quantitative.It cannot be urged that there is no common measure to which we can reduce the satisfaction derived from such different articles as Bibles and brandy, for instance (to take an illustration suggested by Marx), for as a matter of fact we are all of us making such reductions every day. If I am willing to give the same sum of money for a family Bible and for a dozen of brandy, it is because I have reduced the respective satisfactions their possession will afford me to a common measure, and have found them equivalent. In economic phrase, the two things have equal abstract utility for me. In popular (and highly significant) phrase, each of the two things is worth as much to me as the other.Marx is, therefore, wrong in saying that when we pass from that in which the exchangeable wares differ (value in use) to that in which they are identical (value in exchange), we must put their utility out of consideration, leaving only jellies of abstract labour. What we really have to do is to put out of consideration the concrete and specific qualitative utilities in which they differ, leaving only the abstract and general quantitative utility in which they are identical.This formula applies to all exchangeable commodities, whether producible in indefinite quantities, like family Bibles and brandy, or strictly limited in quantity, like the "Raphaels," one of which has just been purchased for the nation. The equation which always holds in the case of a normal exchange is an equation not of labour, but of abstract utility, significantly called worth. … A coat is made specifically useful by the tailor's work, but it is specifically useful (has a value in use) because it protects us. In the same way, it is made valuable by abstractly useful work, but it is valuable because it has abstract utility.

Appendix VI : A few principal rituals – Liber Reguli.
Magick Book IV : Liber ABA, Part III : Magick in Theory and Practice (1929)
Context: His first conception must evidently be a frantic spasm, formless, insane, not to be classed as an articulate thought. Yet, if he develops the faculties of his mind, the more he knows of it the more he sees that its nature is identical with his own whenever comparison is possible.
The True Will is thus both determined by its equations, and free because those equation are simply its own name, spelt out fully. His sense of being under bondage comes from his inability to read it; his sense that evil exists to thwart him arises when he begins to learn to read, reads wrong, and is obstinate that his error is an improvement.

Invited talk, delivered at the joint Indo-US Workshop on System of Systems Engineering http://www.bvinst.edu/gomatam/pub-2009-02.pdf, IIT-Kanpur, October 26-28, 2009.
Context: The Schrödinger equation, which is at the heart of quantum theory, is applicable in principle to both microscopic and macroscopic regimes. Thus, it would seem that we already have in hand a non-classical theory of macroscopic dynamics, if only we can apply the Schrödinger equation to the macroscopic realm. However, this possibility has been largely ignored in the literature because the current statistical interpretation of quantum mechanics presumes the classicality of the observed macroscopic world to start with. But the Schrödinger equation does not support this presumption. The state of superposition never collapses under Schrödinger evolution.

Source: Who Is Man? (1965), Ch. 5<!-- Existence and expediency, p. 85 -->
Context: Man is naturally self-centered and he is inclined to regard expediency as the supreme standard for what is right and wrong. However, we must not convert an inclination into an axiom that just as man's perceptions cannot operate outside time and space, so his motivations cannot operate outside expediency; that man can never transcend his own self. The most fatal trap into which thinking may fall is the equation of existence and expediency.

Source: Going Bovine (2009), p. 428
Context: In our travels, we have come across many equations — math for understanding the universe, for making music, for mapping stars, and also for tipping, which is important. Here is our favorite equation: Us plus Them equals All of Us. It is very simple math. Try it sometime. You probably won’t even need a pencil.

New Scientist interview (2004)
Context: The Mandelbrot set is the modern development of a theory developed independently in 1918 by Gaston Julia and Pierre Fatou. Julia wrote an enormous book — several hundred pages long — and was very hostile to his rival Fatou. That killed the subject for 60 years because nobody had a clue how to go beyond them. My uncle didn't know either, but he said it was the most beautiful problem imaginable and that it was a shame to neglect it. He insisted that it was important to learn Julia's work and he pushed me hard to understand how equations behave when you iterate them rather than solve them. At first, I couldn't find anything to say. But later, I decided a computer could take over where Julia had stopped 60 years previously.

The Clerk's Vision (1949)
Context: The world stretches out before me, the vast world of the big, the little, and the medium. Universe of kings and presidents and jailors, of mandarins and pariahs and liberators and liberated, of judges and witnesses and the condemned: stars of the first, second, third and nth magnitudes, planets, comets, bodies errant and eccentric or routine and domesticated by the laws of gravity, the subtle laws of falling, all keeping step, all turning slowly or rapidly around a void. Where they claim the central sun lies, the solar being, the hot beam made out of every human gaze, there is nothing but a hole and less than a hole: the eye of a dead fish, the giddy cavity of the eye that falls into itself and looks at itself without seeing. There is nothing with which to fill the hollow center of the whirlwind. The springs are smashed, the foundations collapsed, the visible or invisible bonds that joined one star to another, one body to another, one man to another, are nothing but a tangle of wires and thorns, a jungle of claws and teeth that twist us and chew us and spit us out and chew us again. No one hangs himself by the rope of a physical law. The equations fall tirelessly into themselves.
And in regard to the present matter, if the present matters: I do not belong to the masters. I don't wash my hands of it, but I am not a judge, nor a witness for the prosecution, nor an executioner. I do not torture, interrogate, or suffer interrogation. I do not loudly plead for leniency, nor wish to save myself or anyone else. And for all that I don't do and for all that they do to us, I neither ask forgiveness nor forgive. Their piety is as abject as their justice. Am I innocent? I'm guilty. Am I guilty? I'm innocent. (I'm innocent when I'm guilty, guilty when I'm innocent. I'm guilty when … but that is another song. Another song? It's all the same song.) Guilty innocent, innocent guilty, the fact is I quit.

Self cited in: Henry R. Towne in Foreword to the 1911 editions of: F.W. Taylor Shop management; a paper read before the American society of mechanical engineers New York. 1903/1911.
Industrial Engineering, 1905
Context: The dollar is the final term in almost every equation which arises in the practice of engineering in any or all of its branches, except qualifiedly as to military and naval engineering, where in some cases cost may be ignored. In other words, the true function of the engineer is, or should be, not only to determine how physical problems may be solved, but also how they may be solved most economically. For example, a railroad may have to be carried over a gorge or arroyo. Obviously it does not need an engineer to point out that this may be done by filling the chasm with earth, but only a bridge engineer is competent to determine whether it is cheaper to do this or to bridge it, and to design the bridge which will safely and most cheaply serve, the cost of which should be compared with that of an earth fill. Therefore the engineer is, by the nature of his vocation an economist. His function is not only to design, but also so to design as to ensure the best economical result. He who designs an unsafe structure or an inoperative machine is a bad engineer; he who designs them so that they are safe and operative, but needlessly expensive, is a poor engineer, and, it may be remarked, usually earns poor pay; he who designs good work, which can be executed at a fair cost, is a sound and usually a successful engineer; he who does the best work at the lowest cost sooner or later stands at the top of his profession, and usually has the reward which this implies.

1940s, "Autobiographical Notes" (1949)
Context: Reflections of this type made it clear to me as long ago as shortly after 1900, i. e., shortly after Planck's trailblazing work, that neither mechanics nor electrodynamics could (except in limiting cases) claim exact validity. By and by I despaired of the possibility of discovering the true laws by means of constructive efforts based on known facts. The longer and the more despairingly I tried, the more I came to the conviction that only the discovery of a universal formal principle could lead us to assured results.... How, then, could such a universal principle be found? After ten years of reflection such a principle resulted from a paradox upon which I had already hit at the age of sixteen: If I pursue a beam of light with the velocity c (velocity of light in a vacuum), I should observe such a beam as a spatially oscillatory electromagnetic field at rest. However, there seems to be no such thing, whether on the bases of experience or according to Maxwell's equations. From the very beginning it appeared to me intuitively clear that, judged from the stand-point of such an observer, everything would have to happen according to the same laws as for an observer who, relative to the earth, was at rest.

Mathematical Methods in Science (1977)
Context: Even if without the Scott's proverbial thrift, the difficulty of solving differential equations is an incentive to using them parsimoniously. Happily here is a commodity of which a little may be made to go a long way.... the equation of small oscillations of a pendulum also holds for other vibrational phenomena. In investigating swinging pendulums we were, albeit unwittingly, also investigating vibrating tuning forks.<!--p.224

The Character of Physical Law (1965)
Context: …Dirac discovered the correct laws for relativity quantum mechanics simply by guessing the equation. The method of guessing the equation seems to be a pretty effective way of guessing new laws. This shows again that mathematics is a deep way of expressing nature, and any attempt to express nature in philosophical principles, or in seat-of-the-pants mechanical feelings, is not an efficient way.

Prologue
Anarchism : A History of Libertarian Ideas and Movements (1962)
Context: Anarchism, nihilism, and terrorism are often mistakenly equated, and in most dictionaries will be found at least two definitions of the anarchist. One presents him as a man who believes that government must die before freedom can live. The other dismisses him as a mere promoter of disorder who offers nothing in place of the order he destroys. In popular thought the latter conception is far more widely spread. The stereotype of the anarchist is that of the cold-blooded assassin who attacks with dagger or bomb the symbolic pillars of established society. Anarchy, in popular parlance, is malign chaos.
Yet malign chaos is clearly very far from the intent of men like Tolstoy and Godwin, Thoreau and Kropotkin, whose social theories have all been described as anarchist. There is an obvious discrepancy between the stereotype anarchist and the anarchist as we most often see him in reality; that division is due partly to semantic confusions and partly to historical misunderstandings.

Physics and Philosophy (1958)
Context: The equation of motion holds at all times, it is in this sense eternal, whereas the geometrical forms, like the orbits, are changing. Therefore, the mathematical forms that represent the elementary particles will be solutions of some eternal law of motion for matter. Actually this is a problem which has not yet been solved.<!-- p. 72

The good are befriended even by weakness and defect. As no man had ever a point of pride that was not injurious to him, so no man had ever a defect that was not somewhere made useful to him.
1840s, Essays: First Series (1841), Compensation

Source: Life, the Truth, and Being Free (2010), p. 16
Context: This is a mathematical universe. We are surrounded by equations and summations. Your life: the current state of your life and life itself is a direct summation of the equation you have created. Your life is a reflection of many choices you have made at the innumerable amount of choice-points you've crossed. Great endeavors are the summation of a great and deliberate equation.

Interview in The Hindu (2013)
Context: The improved understanding of the equations of hydrodynamics is general in nature; it applies to all quantum field theories, including those like quantum chromodynamics that are of interest to real world experiments. I think this is a good (though minor) example of the impact of string theory on experiments. At our current stage of understanding of string theory, we can effectively do calculations only in particularly simple — particularly symmetric — theories. But we are able to analyse these theories very completely; do the calculations completely correctly. We can then use these calculations to test various general predictions about the behaviour of all quantum field theories. These expectations sometimes turn out to be incorrect. With the string calculations to guide you can then correct these predictions. The corrected general expectations then apply to all quantum field theories, not just those very symmetric ones that string theory is able to analyse in detail.

"Freedom from Religion", The Nation (19 February 2001) http://www.thenation.com/article/freedom-religion/
Context: A genuinely democratic society requires a secular ethos: one that does not equate morality with religion, stigmatize atheists, defer to religious interests and aims over others or make religious belief an informal qualification for public office. Of course, secularism in the latter sense is not mandated by the First Amendment. It's a matter of sensibility, not law.

Original: (de) Wo die Produkte des spezifisch modernen Lebens nach ihrer Innerlichkeit gefragt werden, sozusagen der Körper der Kultur nach seiner Seele - wie mir dies heut gegenüber unseren Großstädten obliegt - wird die Antwort der Gleichung nachforschen müssen, die solche Gebilde zwischen den individuellen und den überindividuellen Inhalten des Lebens stiften, den Anpassungen der Persönlichkeit, durch die sie sich mit den ihr äußeren Mächten abfindet.
Source: The Metropolis and Mental Life (1903), p. 409

S.R.Goel, Preface, in Goel, Sita Ram (ed.) (1998). Freedom of expression: Secular theocracy versus liberal democracy.

Science and the Unseen World (1929)

[The Large-scale Structure of the Universe, 1980, Princeton Universe Press, xii, https://books.google.com/books?id=O_BPaHFtX1YC&pg=PR12]

Source: 2010s, On Modi Time (2015), Chapter : Ayodhya Interview 2013

2000s, Ayodhya, the Finale (2003)

Found and Lost: The Ayodhya Evidence (2003) https://web.archive.org/web/20071009120710/http://koenraadelst.voiceofdharma.org/articles/ayodhya/foundnlost.html
2000s

Koenraad Elst, On Modi Time : Merits And Flaws of Hindu Activism In Its Day Of Incumbency – 2015 Ch 17
The Hindus' (2009), About her book 'The Hindus

pg 31
A More Complete Beast (2018)

Assata: In Her Own Words

On her advice to poets in “The First Native American U.S. Poet Laureate on How Poetry Can Counter Hate” https://time.com/5658443/joy-harjo-poet-interview/ in Time Magazine (2019 Aug 22)

Source: The Boat of a Million Years (1989), Chapter 19 “Thule”, Section 18 (p. 449)

Speech at the United Nations General Assembly, 2019

in a NOVA interview Viewpoints on String Theory, Edward Witten http://www.pbs.org/wgbh/nova/elegant/view-witten.html, July 2003.

Revolution (2014)

Dana White, The Ultimate Fighter, Season Nineteen, Episode Six, Fight to Live (2014).

Rod Laver, speaking ahead of the 2007 Australian Open final against Fernando Gonzalez. http://news.bbc.co.uk/sport1/hi/tennis/6306913.stm

1910s, Dada Manifesto', 1918

Beautify your Breath - Beautify your Life (2015)

1930s, It Shall Move - On Mobile Sculptures (1932)

No causes, whether material, formal, efficient, or final. But there are levels on top of that, where the vocabulary changes.

Chap. 3 : The World Moves by Itself
The Big Picture (2016)

Quoted by Lee Camp, Pandemic is Not Just a Crisis, It’s Also a Gift, Consortium News https://consortiumnews.com/2020/04/23/lee-camp-pandemic-is-not-just-a-crisis-its-also-a-gift/, (23 April 2020)

N.S. Rajaram: The Politics of History, p.47.

Dijkstra (1976-79) On the foolishness of "natural language programming" https://www.cs.utexas.edu/users/EWD/transcriptions/EWD06xx/EWD667.html (EWD 667)
1970s

Source: Dragon's Egg (1980), Chapter 7, “Interaction” Section 6 (p. 255)

Source: Podkayne of Mars (1963), Chapter 10 (p. 127)

Books on Religion and Christianity, I am the Truth. Toward a philosophy of Christianity (1996)
Source: Michel Henry, I am the Truth. Toward a Philosophy of Christianity, translated by Susan Emanuel, Stanford University Press, 2003, p. 27-28

In Galactic Empires, edited by Gardner Dozois, reprinted in Rich Horton (ed.), The Year’s Best Science Fiction & Fantasy 2009 (p. 506)
Short fiction, The Tear (2008)