this text carries out some ideas about exact and p− exact sequences of transformationsemigroups. some theorems like the short five lemma (lemma 1.3 and lemma 2.3) are valid here as inexact sequences of r − modules.

let $p$ be a prime number greater than three. in this paper, we prove the existence of a new family of homotopy elements in the stable homotopy groups of spheres $pi_{ast}(s)$ which is represented by $h_nh_mtilde{beta}_{s+2}in {rm ext}_a^{s+4, q[p^n+p^m+(s+2)p+(s+1)]+s}(mathbb{z}_p,mathbb{z}_p)$ up to nonzero scalar in the adams spectral sequence, where $ngeq m+2>5$, $0leq sext}_a^{s+2,q[(s+2)p...

Fracture analysis of glass/epoxy composites under different thermal cycling conditions is considered. Temperature difference, stacking sequence, fiber volume fraction and number of thermal cycles are selected as the experimental design factors. The Taguchi method is implemented to design of the experiment and an apparatus is developed for automatic thermal cycling tests. The tensile tests are d...

Most impact tests are carried out on specimens with specific stacking sequence and dimensions to meet standard and experimental limitations. The damaged areas and the resulted reduction in the strength values of specimens may not agree very well with those of real application. In this paper an attempt is made to study the variation in the size of damaged areas due to varying the dimension of te...

riverbank erosion, land loss and associated sedimentation are river engineering and water resources management problems of global significance. the ability to predict riverbank stability on eroding rivers is the prerequisite of developing a channel width adjustment model and is essential for estimating riverbank erosion and associated sedimentation. in this research, a detailed model for stabil...

Abstract After the fault circuit breaker at end of long line large mode operation system fails, composite voltage sensitivity 220 kV and above double bus connection failure protection is insufficient, release complex locking function needs to be switched on off manually, which cannot automatically adapted after changes. To solve this problem, compound logic cancelled, zero negative sequence pow...