रेगुलरस इसके अंग्रेजी अर्थ का उदाहरण

Apparent gloss depends on the amount of specular reflection – light reflected from the surface in an equal amount and the symmetrical angle to the one of incoming light – in comparison with diffuse reflection – the amount of light scattered into other directions.

The Johnson graph J(n,k) is closely related to the Johnson scheme, an association scheme in which each pair of -element sets is associated with a number, half the size of the symmetric difference of the two sets.

This applies for example for the symmetry groups of two patterns which are both of a particular wallpaper group type.

Moreover, this decomposition is essentially unique, meaning that for any other pair (P',N') of \Sigma -measurable subsets of X fulfilling the three conditions above, the symmetric differences P \triangle P' and N \triangle N' are \mu -null sets in the strong sense that every \Sigma -measurable subset of them has zero measure.

Most of his long series of papers on invariant theory and the symmetric group were written while he was a clergyman.

Representation theory of the symmetric group.

While the usual trace formula studies the [analysis] on G, the relative trace formula a tool for studying the harmonic analysis on the symmetric space .

Since the symmetry group has stabilizers at the points of the ramification locus, branched coverings can be used to construct examples of orbifolds, or Deligne–Mumford stacks.

This conjecture is proven for a large class of spherical pairs including all the symmetric pairs.

(Sym(n+1), Sym(n)), the symmetric group acting on n+1 points and a point stabilizer that is naturally isomorphic to on n points.

In particular, G the symmetric group on n+1 points and K the symmetric group on n points forms a Gelfand pair for every n≥1.

Coxeter groups (including the symmetric group) have combinatorial important length functions, using the simple reflections as generators (thus each simple reflection has length"nbsp;1).

For the symmetric case we get.