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Equations Quotes

In the broad light of day mathematicians check their equations and their proofs, leaving no stone unturned in their search for rigour. But, at night, under the full moon, they dream, they float among the stars and wonder at the miracle of the heavens. They are inspired. Without dreams there is no art, no mathematics, no life Picture Quote #1

I visualized myself pulling on my mental thinking cap, jamming it down around my ears as I had taught myself to do. It was a tall, conical wizard's model, covered with chemical equations and formulae: a cornucopia of ideas Picture Quote #1

The quantum hypothesis will eventually find its exact expression in certain equations which will be a more exact formulation of the law of causality Picture Quote #1

I’ve said it before: equations are the devil’s sentences. The worst one is that quadratic equation, an infernal salad of numbers, letters, and symbols Picture Quote #1

It is well known that the central problem of the whole of modern mathematics is the study of transcendental functions defined by differential equations Picture Quote #1

What counts, I found, is not what you cover, but what you uncover. Covering subjects in a class can be a boring exercise, and students feel it. Uncovering the laws of physics and making them see through the equations, on the other hand, demonstrates the process of discovery, with all its newness and excitement, and students love being part of it Picture Quote #1

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To me, drum soloing is like doing a marathon and solving equations at the same time Picture Quote #1

It took me 1057 pages to describe the hundreds of mathematical equations, algorithms and programming techniques that I invented and used Picture Quote #1

What is the origin of the urge, the fascincation that drives physicists, mathematicians, and presumably other scientists as well? Psychoanalysis suggests that it is sexual curiosity. You start by asking where little babies come from, one thing leads to another, and you find yourself preparing nitroglycerine or solving differential equations. This explanation is somewhat irritating, and therefore probably basically correct Picture Quote #1

We seem to forget that innovation doesn’t just come from equations or new kinds of chemicals, it comes from a human place. Innovation in the sciences is always linked in some way, either directly or indirectly, to a human experience Picture Quote #1

It is exciting to discover electrons and figure out the equations that govern their movement; it is boring to use those principles to design electric can openers. From here on out, it’s all can openers Picture Quote #1

Among all of the mathematical disciplines the theory of differential equations is the most important... It furnishes the explanation of all those elementary manifestations of nature which involve time Picture Quote #1

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In my youth I regarded the universe as an open book, printed in the language of equations, whereas now it appears to me as a text written in invisible ink, of which in our rare moments of grace we are able to decipher a small segment Picture Quote #1

It is more important to have beauty in one’s equations than to have them fit experiment Picture Quote #1

The underlying physical laws necessary for the mathematical theory of a large part of physics and the whole of chemistry are thus completely known, and the difficulty is only that the exact application of these laws leads to equations much too complicated to be soluble. It therefore becomes desirable that approximate practical methods of applying quantum mechanics should be developed, which can lead to an explanation of the main features of complex atomic systems without too much computation Picture Quote #1

There is nothing that can be said by mathematical symbols and relations which cannot also be said by words. The converse, however, is false. Much that can be and is said by words cannot successfully be put into equations, because it is nonsense Picture Quote #1

A great deal of my work is just playing with equations and seeing what they give Picture Quote #1

Just by studying mathematics we can hope to make a guess at the kind of mathematics that will come into the physics of the future... If someone can hit on the right lines along which to make this development, it m may lead to a future advance in which people will first discover the equations and then, after examining them, gradually learn how to apply the... My own belief is that this is a more likely line of progress than trying to guess at physical pictures Picture Quote #1

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It is more important to have beauty in one’s equations than to have them fit experiment... It seems that if one is working from the point of view of getting beauty in one’s equations, and if one has really a sound insight, one is on a sure line of progress. If there is not complete agreement between the results of one’s work and experiment, one should not allow oneself to be too discouraged, because the discrepancy may well be due to minor features that are not properly taken into account and that will get cleared up with further developments of the theory Picture Quote #1

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In the broad light of day mathematicians check their equations and their proofs, leaving no stone unturned in their search for rigour. But, at night, under the full moon, they dream, they float among the stars and wonder at the miracle of the heavens. They are inspired. Without dreams there is no art, no mathematics, no life (Equations Quotes) I visualized myself pulling on my mental thinking cap, jamming it down around my ears as I had taught myself to do. It was a tall, conical wizard's model, covered with chemical equations and formulae: a cornucopia of ideas (Equations Quotes) The quantum hypothesis will eventually find its exact expression in certain equations which will be a more exact formulation of the law of causality (Equations Quotes) I’ve said it before: equations are the devil’s sentences. The worst one is that quadratic equation, an infernal salad of numbers, letters, and symbols (Equations Quotes) It is well known that the central problem of the whole of modern mathematics is the study of transcendental functions defined by differential equations (Equations Quotes) What counts, I found, is not what you cover, but what you uncover. Covering subjects in a class can be a boring exercise, and students feel it. Uncovering the laws of physics and making them see through the equations, on the other hand, demonstrates the process of discovery, with all its newness and excitement, and students love being part of it (Equations Quotes) To me, drum soloing is like doing a marathon and solving equations at the same time (Equations Quotes) It took me 1057 pages to describe the hundreds of mathematical equations, algorithms and programming techniques that I invented and used (Equations Quotes) What is the origin of the urge, the fascincation that drives physicists, mathematicians, and presumably other scientists as well? Psychoanalysis suggests that it is sexual curiosity. You start by asking where little babies come from, one thing leads to another, and you find yourself preparing nitroglycerine or solving differential equations. This explanation is somewhat irritating, and therefore probably basically correct (Equations Quotes) We seem to forget that innovation doesn’t just come from equations or new kinds of chemicals, it comes from a human place. Innovation in the sciences is always linked in some way, either directly or indirectly, to a human experience (Equations Quotes) It is exciting to discover electrons and figure out the equations that govern their movement; it is boring to use those principles to design electric can openers. From here on out, it’s all can openers (Equations Quotes) Among all of the mathematical disciplines the theory of differential equations is the most important... It furnishes the explanation of all those elementary manifestations of nature which involve time (Equations Quotes) In my youth I regarded the universe as an open book, printed in the language of equations, whereas now it appears to me as a text written in invisible ink, of which in our rare moments of grace we are able to decipher a small segment (Equations Quotes) It is more important to have beauty in one’s equations than to have them fit experiment (Equations Quotes) The underlying physical laws necessary for the mathematical theory of a large part of physics and the whole of chemistry are thus completely known, and the difficulty is only that the exact application of these laws leads to equations much too complicated to be soluble. It therefore becomes desirable that approximate practical methods of applying quantum mechanics should be developed, which can lead to an explanation of the main features of complex atomic systems without too much computation (Equations Quotes) There is nothing that can be said by mathematical symbols and relations which cannot also be said by words. The converse, however, is false. Much that can be and is said by words cannot successfully be put into equations, because it is nonsense (Equations Quotes) A great deal of my work is just playing with equations and seeing what they give (Equations Quotes) Just by studying mathematics we can hope to make a guess at the kind of mathematics that will come into the physics of the future... If someone can hit on the right lines along which to make this development, it m may lead to a future advance in which people will first discover the equations and then, after examining them, gradually learn how to apply the... My own belief is that this is a more likely line of progress than trying to guess at physical pictures (Equations Quotes) It is more important to have beauty in one’s equations than to have them fit experiment... It seems that if one is working from the point of view of getting beauty in one’s equations, and if one has really a sound insight, one is on a sure line of progress. If there is not complete agreement between the results of one’s work and experiment, one should not allow oneself to be too discouraged, because the discrepancy may well be due to minor features that are not properly taken into account and that will get cleared up with further developments of the theory (Equations Quotes)

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