Phys 509 - Problem Set 3

Phys 509 - Problem Set 5

Phys 509 - Problem Set 6

We show that CG ({g}) is a subgroup CG ({g}) ≤ G. • Closure: For x, y ∈ GG ({g}), then xg = gx and yg = gy, so in particular gxy = xgy = xyg, so xy ∈ CG ({g}) • Inverses: For x ∈ CG ({g}) ⊆ G, ∃x−1 ∈ G s.t. xx−1 = x−1x = e, since G is a group. For g−1 ∈ G exists, then we can write gx−1g−1x = g (gx) x = g (xg) x = gg−1x−1x = e, which shows gx−1 = x−1g, so x−1 ∈ CG ({g}) • Identity: For e ∈ G, eg...

Tropisms of Mammals.

We see then that here, just as in the case of diatomic molecules, the permanent moment of the molecules and the part of the dielectric constant due to it are related by Debye's equation derived on the classical theory provided the temperature is sufficiently high. As regards the behavior of the bands emitted by dipole-molecules of the kind considered in an electric field, there should be a line...

TOAST: Online ASPIC+ implementation

In this paper, we present TOAST, a system that implements the ASPIC+ framework. TOAST accepts a knowledge base and rule set with associated preference and contrariness information, and returns both textual and visual commentaries on the acceptability of arguments in the derived abstract framework.

Ramified Deformation Problems

0. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 439 1. The deformation problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 448 1.1. Formulation of the problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 448 1.2. Changing the da...