Quotes About Symmetry

As time goes on, it becomes increasingly evident that the rules which the mathematician finds interesting are the same as those which Nature has chosen.

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.

You may begin to realize that groups will pop up wherever symmetries exist. In fact, the collection of all the symmetry transformations of any system always from a group.

Either because of mate selection, cognition, predator avoidance, or a combination of all three, our minds are attracted to and are finely tuned to the detection of symmetry. The question of whether symmetry is truly fundamental to the universe itself, or merely to the universe as perceived by humans, thus becomes particularly acute.

As we shall see throughout this book, the unifying powers of group theory are so colossal that historian of mathematics Eric Temple Bell (1883-1960) once commented, When ever groups disclosed themselves, or could be introduced, simplicity crystallized out of comparative chaos.

Is it odd how asymmetrical Is symmetry? Symmetry is asymmetrical. How odd it is. This stanza remains unchanged if read word by word from the end to the beginning-it is symmetrical with respect to backward reading.

One of Lindon's amusing word-unit palindromes reads: Girl, bathing on Bikini, eyeing boy, finds boy eyeing bikini on bathing girl. Other palindromes are symmetric with respect to back-to-front reading letter by letter-Able was I ere I saw Elba (attributed jokingly to Napoleon), or the title of a famous NOVA program: A Man, a Plan, a Canal, Panama.

Here, however, is where his genius truly took off. Galois managed to associate with each equation a sort of genetic code of that equation-the Galois group of the equation-and to demonstrate that the properties of the Galois group determine whether the equation is solvable by a formula or not. Symmetry became the key concept, and the Galois group was a direct measure of the symmetry properties of an equation.

The importance of mirror-reflection symmetry to our perception and aesthetic appreciation, to the mathematical theory of symmetries, to the laws of physics, and to science in general, cannot be overemphasized, and I will return to it several times. Other symmetries do exist, however, and they are equally relevant.

Supersymmetry is a subtle symmetry based on the quantum mechanical property spin.

You know, said Al in a daze of hunger and cold, when you see this, you realize that despite all the crap that goes on in the cities, despite all the words and accusations, the country has balance and momentum. The whole thing is symmetrical and beautiful; it works. The cities are like bulbs on a Christmas tree. They may bum, swell, and shatter, but the green stays green. Look at it, he said, eyes fixed on the horizon, not unmoved by the motion of the train. Look at it. It's alive.

Those who assert that the mathematical sciences say nothing of the beautiful or the good are in error. For these sciences say and prove a great deal about them; if they do not expressly mention them, but prove attributes which are their results or definitions, it is not true that they tell us nothing about them. The chief forms of beauty are order and symmetry and definiteness, which the mathematical sciences demonstrate in a special degree.

The mathematical sciences particularly exhibit order symmetry and limitations; and these are the greatest forms of the beautiful.

The chief forms of beauty are order and symmetry and definiteness, which the mathematical sciences demonstrate in a special degree.

But economical Mother Nature was always repeating herself, on such vastly different scales as the swirl of milk stirred into coffee, the cloud lanes of a cyclonic storm, the arms of a spiral nebula.

The beauty comes with the balance. Everyone should find his own balance in his personal as well as his professional life. Once you do so, you will feel and look beautiful.

Yes, pain meant life. But the symmetric property did not apply; Life did not mean pain.

Mathematics is the music of reason.

Music assists him in the use of harmonic and mathematical proportion.

The symmetries of immanence are cruel.

Symmetry order is the disorder of grouping order, and grouping order is the disorder of symmetry order. If the order of one is the disorder of the other, then there is no room for a general disorder. All there is in nature is ordered patterns of one type or the other, and combinations thereof.

Symmetries are the playing field on which the physical world works and which determine the rules of the game. The symmetries of nature determine for us things that remain constant, that can't be changed. Those are the guideposts in physics, the quantities like energy and momentum.

The Lebanese Civil War, 1975-1990, spanned four World Cups. It would have been a more symmetrical five had the Lebanese begun in 1974, but you know, we're Mediterranean, and timing isn't our forte.

Balance is good. You should always have balance... you need it to survive.