Mathematical Quotes - Page 40

• Einstein's theory of General Relativity has a mathematical structure very similar to Yang-Mills theory.

  Chen-Ning Yang

  Yang, Structure, Mills

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• ... each of the 24 modes in the Ramanujan function corresponds to a physical vibration of a string. Whenever the string executes its complex motions in space-time by splitting and recombining, a large number of highly sophisticated mathematical identities must be satisfied. These are precisely the mathematical identities discovered by Ramanujan.

  Michio Kaku

  Numbers, Space, Identity

  Michio Kaku (1995). “Hyperspace: A Scientific Odyssey Through Parallel Universes, Time Warps, and the Tenth Dimension”, p.173, Oxford University Press, USA

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• I venture to give an alternative method of regarding the processes occurring in the electric field, which I have often found useful and which is, from a mathematical point of view, equivalent to Maxwell's Theory.

  Joseph John Thomson

  Views, Giving, Alternatives

  Joseph John Thomson (2010). “Notes on Recent Researches in Electricity and Magnetism: Intended as a Sequel to Professor Clerk-Maxwell's Treatise on Electricity and Magnetism”, p.1, Cambridge University Press

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• Music is a secret and unconscious mathematical problem of the soul.

  Gottfried Leibniz

  Soul, Secret, Problem

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• If I were asked to name, in one word, the pole star round which the mathematical firmament revolves, the central idea which pervades the whole corpus of mathematical doctrine, I should point to Continuity as contained in our notions of space, and say, it is this, it is this!

  James Joseph Sylvester

  Stars, Names, Ideas

  James Joseph Sylvester (1973). “1854-1973”

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• We must... maintain that mathematical geometry is not a science of space insofar as we understand by space a visual structure that can be filled with objects - it is a pure theory of manifolds.

  Hans Reichenbach

  Space, Structure, Theory

  Hans Reichenbach (1958). “Philosophie Der Raum-Zeit-Lehre”, p.100, Courier Corporation

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• The space you occupy and the authority you exercise may be measured with mathematical exactness by the service you render.

  Napoleon Hill

  Exercise, Space, May

  Napoleon Hill (2008). “The Law of Success: The Master Wealth-Builder's Complete and Original Lesson Plan forAchieving Your Dreams”, p.195, Penguin

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• For generations, field guides to plants and animals have sharpened the pleasure of seeing by opening our minds to understanding. Now John Adam has filled a gap in that venerable genre with his painstaking but simple mathematical descriptions of familiar, mundane physical phenomena. This is nothing less than a mathematical field guide to inanimate nature.

  Hans Christian von Baeyer

  Animal, Simple, Understanding

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• The mind is complicated and you can't trace the roots of its processes, but there is something about mathematical and algorithmic patterns that I like to recognize in things.

  Aleksandar Hemon

  Roots, Mind, Patterns

  "There Is No Real Life". Interview with Brad Fox, www.guernicamag.com. March 15, 2013.

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• In essence, we string theorists have been trying to work out the score of the universe, the harmonies of the universe, the mathematical vibrations that the strings would play. So musical metaphors have been with us in science since the beginning.

  Brian Greene

  Essence, Play, Work Out

  "Professor Brian Greene answers everything you wanted to know about string theory and the multiverse". www.abc.net.au. February 26, 2016.

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• After two years of undergraduate study, it was clear that I was bored by the regime of problem-solving required by the Cambridge mathematical tripos. A very sensitive mathematics don recommended that I talk to the historian of astronomy, Michael Hoskin, and the conversation led me to enroll in the History and Philosophy of Science for my final undergraduate year.

  Philip Kitcher

  Philosophy, Years, Two

  Source: www.3ammagazine.com

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• I'm less interested in uniqueness than in goodness. I see so many concerts where the program notes are more interesting than the music. I remember talking to one composer who went through the most complicated mathematical algorithm to generate some material from scratch. It took weeks and weeks, and he came up with a C major chord. For me, honesty is more interesting than originality.

  Anna Meredith

  Honesty, Talking, Interesting

  Source: pitchfork.com

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• Dad, once an aspiring architect, drove his own catering truck to feed factory workers in downtown Los Angeles, and mom, with a Mensa IQ and mathematical gifts, served as a bookkeeper and worked in a grocery store while pursuing her calling in music: playing piano and composing songs. Perhaps in a way, part of my drive was to complete their unfulfilled ambitions and dreams, but in my own way.

  Dan Millman

  Mom, Dream, Song

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• In a way, composing on the melodic level is an expression of a melodic truth, almost like a geometric truth. If it has clarity, other people will recognize it. There's no way of isolating it in a gallery on a white wall and saying, "This is a work of art. This is a mathematical proof."

  Eyvind Kang

  Art, Wall, Expression

  Source: pitchfork.com

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• The extraordinary fact is that the first idea I had which motivated me, that worked, is conjecture, a mathematical idea which may or may not be true. And that idea is still unproven. It is the foundation, what started me and what everybody failed to **** prove has so far defeated the greatest efforts by experts to be proven.

  Benoit Mandelbrot

  Ideas, Effort, Foundation

  Source: bigthink.com

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• In fact, I barely missed being number one in France in both schools. In particular I did very well in mathematical problems.

  Benoit Mandelbrot

  School, Numbers, France

  Source: bigthink.com

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• It is well known that the man who first made public the theory of irrationals perished in a shipwreck in order that the inexpressible and unimaginable should ever remain veiled. And so the guilty man, who fortuitously touched on and revealed this aspect of living things, was taken to the place where he began and there is for ever beaten by the waves.

  Proclus

  Life, Taken, Math

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• We're looking at a quandary here where Bernie's [Sanders] the winner on a moral and even a political basis. He's made history, and she's the winner on the mathematical basis.

  Tom Hayden

  Political, Moral, Winner

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• What we, thanks to Jung, call "synchronicity" (coincidence on steroids), Buddhists have long known as "the interpenetration of realities." Whether it's a natural law of sorts or simply evidence of mathematical inevitability (an infinite number of monkeys locked up with an infinite number of typewriters eventually producing 'Hamlet,' not to mention 'Tarzan of the Apes'), it seems to be as real as it is eerie.

  Tom Robbins

  Buddhist, Real, Typewriters

  "The Syntax of Sorcery". Interview with Tony Vigorito, realitysandwich.com. June 6, 2012.

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• Inspiration is needed in geometry, just as much as in poetry.

  Alexander Pushkin

  Inspirational, Math, Poetry

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• One is hard pressed to think of universal customs that man has successfully established on earth. There is one, however, of which he can boast the universal adoption of the Hindu-Arabic numerals to record numbers. In this we perhaps have man's unique worldwide victory of an idea.

  Howard Whitley Eves

  Math, Men, Thinking

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• I use geometric and mathematical ideas to organize material, but those are tools. The purpose of the work is not to expose that at all, but to arrive at some kind of expressiveness.

  Lucinda Childs

  Ideas, Tools, Purpose

  Source: www.kcet.org

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• A spreadsheet for an innovative idea reports the mathematical relationship between made up numbers. You can't cash a spreadsheet.

  Scott D. Anthony

  Ideas, Numbers, Cash

  Source: bobmorris.biz

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• Bach was so mathematical and I liked this idea that you could have one instrument going, 'One, two, three, four', and then you have another instrument going, [double time] 'One, two, three four', and another instrument going, [doubled again] 'One, two, three, four, one, two, three, four', so you could add twos and fours and eighths, and that happens a lot in Bach.

  Paul McCartney

  Ideas, Two, Add

  Source: www.clashmusic.com

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• It is true that it feels very differently to enjoy a good meal, taking part in an interesting conversation, or to think of how successful your children are. Suppose we do all these things at a particular time. How happy are we at the time? We do not need to calculate the value of each such feelings on any singular scale to answer this question. We need not see our happiness at the time as a mathematical function of these items. It is rather that all these experiences, together with many other factors, causally puts us at the time at a certain level of happiness, i.e. in a certain mood.

  Torbjorn Tannsjo

  Children, Successful, Thinking

  Source: www.3ammagazine.com

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