In this paper, we propose a fast algorithm called PatchLift for computing distances between patches extracted from a one-dimensional signal. PatchLift is based on the observation that the patch distances can be expressed in terms of simple moving sums of an image, which is derived from the one-dimensional signal via lifting. We apply PatchLift to develop a separable extension of the classical N...

This study examined the effects of 3 lifting ranges and 3 lifting modes on maximum lifting capability and total lifting time. The results demonstrated that the maximum lifting capability for FK (from floor to knuckle height) was greater than that for KS (from knuckle height to shoulder height) or FS (from floor to shoulder height). Additionally, asymmetric lifting with initial trunk rotation de...

an injective map f : e(g) → {±1, ±2, · · · , ±q} is said to be an edge pair sum labeling of a graph g(p, q) if the induced vertex function f*: v (g) → z − {0} defined by f*(v) = (sigma e∈ev) f (e) is one-one, where ev denotes the set of edges in g that are incident with a vetex v and f*(v (g)) is either of the form {±k1, ±k2, · · · , ±kp/2} or {±k1, ±k2, · · · , ±k(p−1)/2} u {k(p+1)/2} accordin...

This paper is concerned with the data-driven optimal control of nonlinear systems. We present a convex formulation problem discounted cost function. consider problems both positive and negative discount factors. The approach relies on lifting system dynamics in space densities using linear Perron–Frobenius operator. leads to an infinite-dimensional optimization problem. approximation Koopman op...

a module $m$ is called $emph{h}$-cofinitely supplemented if for every cofinite submodule $e$ (i.e. $m/e$ is finitely generated) of $m$ there exists a direct summand $d$ of $m$ such that $m = e + x$ holds if and only if $m = d + x$, for every submodule $x$ of $m$. in this paper we study factors, direct summands and direct sums of $emph{h}$-cofinitely supplemented modules. let $m$ be an $emph{h}$...

In this paper, we explicitly compute the derivation module of quotients polynomial rings by ideals formed sum or some other gluing technique. We discuss cases monomial and binomial separately.

In this paper we defined the concept of module amenability of Banach algebras and module connes amenability of module dual Banach algebras.Also we assert the concept of module Arens regularity that is different with [1] and investigate the relation between module amenability of Banach algebras and connes module amenability of module second dual Banach algebras.In the following we studythe...

In Embedded and wireless communication systems, the use of DWT (Discrete Wavelet Transform) and FFT (Fast Fourier Transform) algorithms based modules has been significant. Of late, in a system if various module designs for distinct algorithms exist then the parameterization/reconfiguration techniques are becoming an effective implementation idea of research. And so, in this paper, parameterizat...

We present a class of subposets of the partition lattice 5n with the following property: The order complex is homotopy equivalent to the order complex of 5n−1, and the Sn-module structure of the homology coincides with a recently discovered lifting of the Sn−1-action on the homology of5n−1. This is the Whitehouse representation on Robinson’s space of fully-grown trees, and has also appeared in ...