The spline finite strip method (S.F.S.M.) for buckling analysis of plates and plate assemblies subjected to longitudinal compression and bending, transverse compression as well as shear is described. The method allows for the boundary conditions. Local buckling coefficients of plates with different boundary conditions under compression, bending and shear are calculated. Convergence studies with...

We study the simulation of charged systems in the presence of general boundary conditions in a local Monte Carlo algorithm based on a constrained electric field. We first show how to implement constant-potential, Dirichlet boundary conditions by introducing extra Monte Carlo moves to the algorithm. Second, we show the interest of the algorithm for studying systems which require anisotropic elec...

When quantum supergravity is studied on manifolds with boundary, one may consider local boundary conditions which fix on the initial surface the whole primed part of tangential components of gravitino perturbations, and fix on the final surface the whole unprimed part of tangential components of gravitino perturbations. This paper studies such local boundary conditions in a flat Euclidean backg...

Non-local boundary conditions have been considered in theoretical highenergy physics with emphasis on one-loop quantum cosmology, one-loop conformal anomalies, Bose–Einstein condensation models and spectral branes. In the present paper, for the first time in the literature, the Wightman function, the vacuum expectation values of the field square and the energy-momentum tensor are investigated f...

The goal of the project was to create a method of displaying local weather conditions on the robots in the UT CS Department’s segbots, specifically through the use of communication between a Python script and an Arduino connected to Pololu LEDs. Specifically, this resulted in the presentation of specifically the temperature in the Austin area. While the goal of the project was technically accom...

Given a graph F , let st(F ) be the number of subdivisions of F , each with a different vertex set, which one can guarantee in a graph G in which every edge lies in at least t copies of F . In 1990, Tuza asked for which graphs F and large t, one has that st(F ) is exponential in a power of t. We show that, somewhat surprisingly, the only such F are complete graphs, and for every F which is not ...

In a geometric point of view, a nonlinear control system, affine in the controls, is thought of as an affine subbundle of the tangent bundle of the state space. In deriving conditions for local controllability from this point of view, one should describe those properties of the affine subbundle that either ensure or prohibit local controllability. In this paper, second-order conditions of this ...

We establish the following result related to Erdős’s problem on distinct distances. Let V be an n-element planar point set such that any p members of V determine at least ( p 2 ) − p+ 6 distinct distances. Then V determines at least n 8 7 −o(1) distinct distances, as n tends to infinity.

The spline finite strip method (S.F.S.M.) for buckling analysis of plates and plate assemblies subjected to longitudinal compression and bending, transverse compression as well as shear is described. The method allows for the boundary conditions. Local buckling coefficients of plates with different boundary conditions under compression, bending and shear are calculated. Convergence studies with...