With the advent of sophisticated acquisition and analysis techniques, decoding the contents of someone's experience has become a reality. We propose a straightforward linear Gaussian approach, where decoding relies on the inversion of properly regularized encoding models, which can still be solved analytically. In order to test our approach we acquired functional magnetic resonance imaging data...

Kohnert polynomials are indexed by unit cell diagrams in the first quadrant defined earlier author and Searles that give a common generalization of Schubert Demazure characters for general linear group. crystals certain truncations normal whose characters. For each diagram satisfying southwest condition, we construct crystal character is polynomial given diagram, resolving an conjecture these e...

Scalation, colour pattern, linear and geometric morphometrics were used to quantify geographical differentiation in the long-nosed snake, Rhinocheilus lecontei, and to test the hypothesis that all four subspecies are morphologically distinct. Also investigated were potential associations between morphological (scalation, colour pattern, linear measurements) and environmental variables (climate,...

Let G be a finite group and C(G) be the family of representative conjugacy classes of‎ ‎subgroups of G‎. ‎The matrix whose H,K-entry is the number of ‎fixed points of the set G/K under the action of H is called the‎ ‎table of marks of G where H,K run through all elements in‎ C(G)‎. Shinsaku Fujita for the first time introduced the term “markaracter” to discuss marks for permutation representati...

This paper gives a plethysm formula on the characteristic map of the induced linear characters from the unipotent upper-triangular matrices Un(Fq) to GLn(Fq), the general linear group over finite field Fq. The result turns out to be a multiple of a twisted version of the Hall-Littlewood symmetric functions P̃n[Y ; q]. A recurrence relation is also given which makes it easy to carry out the compu...

The set of all (n×n) non-singular matrices over the field F. And this forms a group under operation matrix multiplication. This is called general linear dimension F, denoted by . determinant these homomorphism from into F* and kernel was special Thus subgroup which contains one. rationally valued characters rational representations are written as combination induced for groups discussed in pape...