Constructing the determinant sphere using a Tate twist

Simulation of a New Process Design to Fabricate a Rectangular Twist Waveguide Using Extrusion and a Twist Die

The aim of the present study is to determine the feasibility of making a rectangular twist waveguide used to rotate electromagnetic waves. For this purpose, the process of fabricating an aluminum rectangular twist waveguide was simulated by making use of finite element method and Deform software. The optimum length and angle of the twist die for manufacturing a twist waveguide with inner cross ...

Constructing Elements in Shafarevich-tate Groups of Modular Motives

We study Shafarevich-Tate groups of motives attached to modular forms on Γ0(N) of weight bigger than 2. We deduce a criterion for the existence of nontrivial elements of these Shafarevich-Tate groups, and give 16 examples in which a strong form of the Beilinson-Bloch conjecture implies the existence of such elements. We also use modular symbols and observations about Tamagawa numbers to compute...

The determinant of the Laplacian on the n - sphere

Rationally constructing the dimensions of the political sphere

I construct a game-theoretic model in which people have preferences over two issues, but in which people rationally and endogenously choose to reveal their preferences over only one of them, leaving the other private and irrelevant for political action. In this way, people “construct” the political sphere to include one issue and not the other.

Constructing fully symmetric cubature formulae for the sphere

We construct symmetric cubature formulae of degrees in the 1339 range for the surface measure on the unit sphere. We exploit a recently published correspondence between cubature formulae on the sphere and on the triangle. Specifically, a fully symmetric cubature formula for the surface measure on the unit sphere corresponds to a symmetric cubature formula for the triangle with weight function (...