Through a series of papers in the 1980’s, Bouchet introduced isotropic systems and the Tutte-Martin polynomial of an isotropic system. Then, Arratia, Bollobás, and Sorkin developed the interlace polynomial of a graph in [ABS00] in response to a DNA sequencing application. The interlace polynomial has generated considerable recent attention, with new results including realizing the original inte...

The object of this offering article is to introduce the notion *- Miao-Tam critical equation on almost contact metric manifolds and it studied Kenmotsu with some nullity condition. It proved that if a (2n + 1)-dimensional (k, µ)!-almost manifold (M, g) satisfies *-Miao-Tam equation, then *-Ricci flat locally isometric product space. Finally, result verified by an example.

Abstract We study multivariate polynomials over ‘structured’ grids. Firstly, we propose an interpretation as to what it means for a finite subset of field be structured; do so by numerical parameter, the nullity. then extend several results – notably, Combinatorial Nullstellensatz and Coefficient Theorem structured The main point is that structure grid allows degree constraints on relaxed.