‎in this paper first we define the morphism between geometric spaces in two different types‎. ‎we construct two categories of $uu$ and $l$ from geometric spaces then investigate some properties of the two categories‎, ‎for instance $uu$ is topological‎. ‎the relation between hypergroups and geometric spaces is studied‎. ‎by constructing the category $qh$ of $h_{v}$-groups we answer the question...

In this paper we present matrix exponential formulae for the geometric and spectral geometric means of positive definite matrices using a conjectured exponential formula that solved by Wasin So [Linear Algebra Appl. 379 (2004)]. Mathematics subject classification (2000): 15A24, 15A29, 15A48.

This paper presents nonlinear elastic dynamic analysis of 3-D semi-rigid steel frames including geometric and connection nonlinearities. The geometric nonlinearity is considered by using stability functions and updating geometric stiffness matrix. The nonlinear behavior of the steel beam-to-column connection is considered by using a zero-length independent connection element comprising of six t...

This chapter introduces a variety of tools from matrix algebra and multivariate statistics useful in the analysis of selection on multiple characters. Our primary intent is to introduce the reader to the idea of vectors and matrices as geometric structures, viewing matrix operations as transformations converting a vector into a new vector by a change in geometry (rotation and scaling). The eige...