The lin-29 gene product of C.elegans activates a temporal developmental switch for hypodermal cells. Loss-of-function lin-29 mutations result in worms that fail to execute a stage-specific pattern of hypodermal differentiation that includes exist from the cell cycle, repression of larval cuticle genes, activation of adult cuticle genes, and the cessation of molting. Combined genetic and physica...

In this paper, we introduce admissible vectors of covariant representations of a dynamical system which are extensions of the usual ones, and compare them with each other. Also, we give some sufficient conditions for a vector to be admissible vector of a covariant pair of a dynamical system.  In addition, we show the existence of Parseval frames for some special subspaces of $L^2(G)$ related to...

A weakly admissible mesh (WAM) on a continuum real-valued domain is sequence of discrete grids such that the maximum norm polynomials grid comparable to supremum domain. The asymptotic rate growth sizes and comparability constants must grow in controlled manner. In this paper, we recognize notion WAM can be generalized hierarchical subspaces not necessarily polynomial functions, analyze particu...