Quotes About Theorem

The three discrete invariances - reflection invariance, charge conjugation invariance, and time reversal invariance - are connected by an important theorem called the CPT theorem.

Indeed, it is a proven mathematical theorem that a doughnut is topologically distinct from a sphere.

To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.

There is no answer to the Pythagorean theorem. Well, there is an answer, but by the time you figure it out, I got 40 points, 10 rebounds and then we're planning for the parade.

Noether's theorem fused together symmetries and conservation laws-these two giant pillars of physics are actually nothing but different facets of the same fundamental property.

The problem looks so straightforward because it is based on the one piece of mathematics that everyone can remember – Pythagoras' theorem: In a right-angled triangle the square on the hypotenuse is equal to the sum of the squares on the other two sides.

Geometry is a Deductive Science.

However, one cannot really argue with a mathematical theorem.

I realized that if one reversed the direction of time in Penrose's theorem so that the collapse became an expansion, the conditions of his theorem would still hold, provided the universe were roughly like a Friedmann model on large scales at the present time.

when you're working hard on a theorem you should try to prove it by day and disprove it by night.

Q.E.D. [Quod erat demonstrandum: Which was to be proved.]

In many cases a dull proof can be supplemented by a geometric analogue so simple and beautiful that the truth of a theorem is almost seen at a glance.

The Last Theorem is at the heart of an intriguing saga of courage, skulduggery, cunning, and tragedy, involving all the greatest heroes of mathematics.

Ellison's Theorem: the further right your position, the less telling your satire. A corollary of which is that you can't lampoon anywhere near where you stand, because you'd annihilate your own troops.

I tend to regard the Coase theorem as a stepping stone on the way to an analysis of an economy with positive transaction costs.

Quod erat demonstrandum

Bayes's theorem and that looks like this: People who understand Bayes's theorem can use it to work out complex problems involving probability distributions—or inverse probabilities, as they are sometimes called.

Stephen Hawking has proven a general theorem stating that all solutions of Einstein's equations that allow faster-than-light travel must involve negative matter or energy.

No even number is prime, for example.

We may say, roughly, that a mathematical idea is 'significant' if it can be connected, in a natural and illuminating way, with a large complex of other mathematical ideas. Thus a serious mathematical theorem, a theorem which connects significant ideas, is likely to lead to important advances in mathematics itself and even in other sciences.

The seriousness of a theorem, of course, does not lie in its consequences, which are merely the evidence for its seriousness.

The beauty of a mathematical theorem depends a great deal on its seriousness, as even in poetry the beauty of a line may depend to some extent on the significance of the ideas which it contains.

We do not want many 'variations' in the proof of a mathematical theorem: 'enumeration of cases', indeed, is one of the duller forms of mathematical argument. A mathematical proof should resemble a simple and clear-cut constellation, not a scattered cluster in the Milky Way.

It seems that mathematical ideas are arranged somehow in strata, the ideas in each stratum being linked by a complex of relations both among themselves and with those above and below. The lower the stratum, the deeper (and in general more difficult) the idea. Thus the idea of an 'irrational' is deeper than that of an integer; and Pythagoras's theorem is, for that reason, deeper than Euclid's.