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Ask AI3: What is symmetry?
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What will be the final symmetry of the good society??
The aspects of physical development that catch the judges' eyes and which rightfully influence their decisions are symmetry and that hallmark of the true champion -- superior definition of the muscles.
The nuclear dipole effects provide some information on the motions of the hydrogen nuclei, but the symmetry of the Af bond in Af remains in doubt.
There is, then, the possibility that this Af bond is symmetric, although Douglass was unable to determine its symmetry from his x-ray data.
Douglass found Af to be trigonal, Laue symmetry Af, with Af, Af.
The x-ray data did not permit Douglass to determine uniquely the space group, but a negative test for piezoelectricity led him to assume a center of symmetry.
However, the possible absence of a center of symmetry not only moves the hydrogen atom off Af, but also allows the oxygen atoms to become nonequivalent, with Af at Af and Af at Af ( space group Af ), where Af represents the oxygens on one side of the Af layers and Af those on the other side.
In the next century which is the beginning of the Classical period, it was considered that beauty in visible things as in everything else, consisted of symmetry and proportions.
It was chosen by Poirot for its symmetry.
It is, in some sense, a symmetry of the object, and a way of mapping the object to itself while preserving all of its structure.
It is, loosely speaking, the symmetry group of the object.
Mainly concerned with geometry and symmetry rather than individual expression.
The discovery of CP violation helped to shed light on this problem by showing that this symmetry, originally thought to be perfect, was only approximate.
If T is a good symmetry of the dynamics, then
* Parity, charge conjugation and time reversal symmetry.
The perfect order can be represented by translational symmetry along three ( not usually orthogonal ) axes.
Proof: By symmetry, it suffices to prove that there is some constant c such that for all bitstrings s
Prisms and antiprisms, whose symmetry groups are the dihedral groups, are generally not considered to be Archimedean solids, despite meeting the above definition.
They can all be made via Wythoff constructions from the Platonic solids with tetrahedral, octahedral and icosahedral symmetry.
Similarly, in the Metaphysics, Aristotle found that the universal elements of beauty were order, symmetry, and definiteness.
Hogarth, for example, thinks that beauty consists of ( 1 ) fitness of the parts to some design ; ( 2 ) variety in as many ways as possible ; ( 3 ) uniformity, regularity or symmetry, which is only beautiful when it helps to preserve the character of fitness ; ( 4 ) simplicity or distinctness, which gives pleasure not in itself, but through its enabling the eye to enjoy variety with ease ; ( 5 ) intricacy, which provides employment for our active energies, leading the eye on " a wanton kind of chase "; and ( 6 ) quantity or magnitude, which draws our attention and produces admiration and awe.
Another example is that body symmetry is an important aspect of physical attractiveness which may be due to this indicating good health during body growth.
Mathematical considerations, such as symmetry and complexity, are used for analysis in theoretical aesthetics.
Aesthetic considerations such as symmetry and simplicity are used in areas of philosophy, such as ethics and theoretical physics and cosmology to define truth, outside of empirical considerations.
The symmetry and isomerism of allenes has long fascinated organic chemists.

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