The phrase "a finite reflection" is correct and usable in written English.
It can be used in contexts discussing limited or bounded thoughts, ideas, or representations.
Example: "The artist's work is a finite reflection of the complexities of human emotion, capturing only a glimpse of the broader experience."
Alternatives: "a limited representation" or "a constrained reflection".
There are two kinds of losses, one is from the absorption of materials and another is associated with a finite reflection on the interface of the sample.
In this paper, we study the rigidity of spherical t-designs X that are orbits of a finite reflection groups E8 and H4, and prove that X is rigid if and only if tight or the 600-cell.
Sali investigated the case when X is an orbit of a finite reflection group and proved that X is rigid if and only if tight for the groups An, Bn, Cn, Dn, E6, E7, F4, H3.
For a family of weight functions invariant under a finite reflection group, we show how weighted Lp multiplier theorems for Dunkl transform on the Euclidean space Rd can be transferred from the corresponding results for h-harmonic expansions on the unit sphere Sd of Rd+1.
For a family of weight functions invariant under a finite reflection group, the boundedness of a maximal function on the unit sphere is established and used to prove a multiplier theorem for the orthogonal expansions with respect to the weight function on the unit sphere.
Therefore, is a finite reflection generated by with a root system (2.7).
The subgroup (Gsubset O(m)) generated by the reflections ({sigma_{alpha}midalphainmathsf{R}}) is called the finite reflection group associated with R. A multiplicity function κ on the root system R is a G-invariant function (kappa: mathsf{R}rightarrowmathbf{C}) i.e. (kappa alpha)=kappa(galpha)) for all (gin G).
The Coxeter group (or the finite reflection group) generated by the root system is the subgroup of the unitary group generated by.
The basic ingredients in the theory of Cherednik operators are root systems and finite reflection groups, acting on R d with the standard Euclidean scalar product 〈 ⋅, ⋅ 〉 and ∥ x ∥ = 〈 x, x 〉.
The Cherednik operators T j, j = 1, …, d, on R d associated with the finite reflection group W and multiplicity function k are given by T j f ( x ) = ∂ ∂ x j f ( x ) + ∑ α ∈ R + k α j 1 − e − 〈 α, x 〉 { f ( x ) − f ( r α x ) } − ρ j f ( x ).
The observed signal, x m (n), at microphone m can be described as the superposition of the direct-path signal and a finite set of reflections of the direct-path signal.
