symmetry

And they, if you try to produce a different wall with this 18th one, it will have to have the same symmetries as one of these 17.

And, using those rules , he was able to say that there are in fact only two objects with six symmetries .

The symmetries of dyadic Green's functions are often used for studying electro-magnetic field problems.

He was just concerned with the mathematical consequences of an idea, working out what can be deduced from the various symmetries.

Some of these patterns relate to symmetries, which can be expressed mathematically.

So the little table here records how the algebra of these symmetries work.

To do that trick requires supersymmetry, an extraordinary class of symmetries that may hold the key to a deep understanding of the universe.

GL : No , it would be one of the symmetries of this E8 shape .

In 1965 a new simple group (with 175, 560 symmetries) was discovered which did not fit into any of the standard families.

A special representation of the Dirac equation is suggested, in which two intrinsic spins are contained, so it involves more symmetries .

Even these buildings only tended to be asymmetric about major axes, though; there were hundreds of minor symmetries.

Still, this beautiful digital image shows off the Iris Nebula's range of colors and symmetries in impressive detail.

Like the mandala, knot designs are by definition rich in symmetries .

But the way the symmetries interact enable us -- we've now got a language to distinguish why these symmetries are fundamentally different.

In this thesis, we mainly discuss the potential symmetries and linearization of the nonlinear evolution equations.

The final chapter deals with identical-particle symmetries and their application to the He atom, the Periodic Table and diatomic molecules.

And this enables us to distinguish why the symmetries of these objects -- they both have six symmetries.

What are the fundamental symmetries and absolute mass of the neutrino ?

Yet the terms they would ordinarily include in these equations to represent particle masses violated the special symmetries .

In the pre-big bang scenario, it occurs before the bang as a natural outcome of the novel symmetries of string theory.

A rotation-invariant denoising algorithm is proposed for restoring noisy images with cyclic r and dihedral symmetries.

Were he to lose the election, the symmetries with an earlier age will be hard for historians to resist.

And it is these that are helping scientists to resolve the outstanding mysteries of the complex shapes and symmetries of planetary nebula.

The symmetries of the wave functionsdetermine whether crossings or anticrossings of energy levels can occur.

Ordinary symmetries necessarily map bosons onto bosons and fermions onto fermions.

Form may also be described according to symmetries or lack thereof and repetition.

But let's go back down to symmetries that I got for these two objects.

Try to exploit symmetries to reduce execution time.

But here is the language which describes how the symmetries interact.

The equations governing elementary particle physics are fundamentally based on symmetries .

Now Galois produced some laws for how these tables how symmetries interact.

You can prove , using Galois ' language, there are actually only 17 different symmetries that you can do in the walls in the Alhambra .

When [there] are two of these walls, do they have the same symmetries?

unitarity symmetries of hadron, quark model.

Can we say whether they discovered all of the symmetries in the Alhambra?

And those symmetries, then, make the equations even shorter, and even prettier, therefore.

They are symmetries of the sphere.

So I want you to think about that problem as we go on, and count how many symmetries there are.

And we find the same symmetries here, and the same interaction.

And there is some symmetry here in the way the symmetries interact with each other.

It helps that other theories, such as electromagnetism, are based on symmetries that resemble relationism.

How many symmetries does a Rubik's Cube have?

In this way we can always combine any two symmetries to form a larger one.

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