A direct formulation of linear elasticity cell complexes based on discrete exterior calculus is presented. The primary unknowns are displacements, represented by a primal vector-valued 0 -cochain. Displacement differences and internal forces 1 -cochain dual 2 -cochain, respectively. macroscopic constitutive relation enforced at -cells with the help musical isomorphisms mapping cochains to smoot...

would like to thank Mark Watson for correcting a mistake in his summary of Cantor’s argument. 1A note on citations: Mises’s article appeared in German in 1920. An English translation, “Economic Calculation in the Socialist Commonwealth,” appeared in Hayek’s (1990) collection Collectivist Economic Planning in 1935. 2The current paper assumes a basic familiarity with the socialist calculation deb...

Considering the pile-slab subgrade project of Hangzhou-Huang Shan Passenger Dedicated Line as basis, this paper conducts a 1:10 large-scale indoor model test for horizontal bearing capacity structure in steep mountainous areas to study distribution stress, soil pressure and structural deformation analyze failure mode slope. The research shows that when with double-row is subjected loading slope...

We have developed a three level implicit method for solution of the Helmholtz equation. Using the cubic spline in space and finite difference in time directions. The approach has been modied to drive Numerov type nite difference method. The method yield the tri-diagonal linear system of algebraic equations which can be solved by using a tri-diagonal solver. Stability and error estimation of the...

A simple technique, based on the recently developed elastic strip analysis (ESA)[1] of bi-harmonic equation for moments and deflections simply supported rectangular plates from finite series expression suggested valid displacement function method, is applied to skewed rhombic plates. The formulation uses a characterization load area contributed by shorter diagonal longer obtain fractions in fou...

In this article, we consider the matrix equation $AXB=C$, where A, B, C are given matrices and give new necessary and sufficient conditions for the existence of the diagonal solutions and monomial solutions to this equation. We also present a general form of such solutions. Moreover, we consider the least squares problem $min_X |C-AXB |_F$ where $X$ is a diagonal or monomial matrix. The explici...

Let φ be a w-continuous homomorphism from a dual Banach algebra to C. The notion of φ-Connes amenability is studied and some characterizations is given. A type of diagonal for dual Banach algebras is dened. It is proved that the existence of such a diagonal is equivalent to φ-Connes amenability. It is also shown that φ-Connes amenability is equivalent to so-called φ-splitting of a certain short...