We analyze the crossover from an hc /e periodicity of the persistent current in flux-threaded clean metallic rings toward an hc /2e-flux periodicity of the supercurrent upon entering the superconducting state. On the basis of a model calculation for a one-dimensional ring we identify the underlying mechanism, which balances the hc /e versus the hc /2e periodic components of the current density....

We propose a method for computing the Z2–cohomology ring of a simplicial complex uniquely associated with a three–dimensional digital binary–valued picture I. Binary digital pictures are represented on the standard grid Z, in which all grid points have integer coordinates. Considering a particular 14–neighbourhood system on this grid, we construct a unique simplicial complex K(I) topologically ...

The Cox construction presents a toric variety as quotient of affine space by torus. category coherent sheaves on the corresponding stack thus has an evident description invariants in modules over polynomial ring. Here we give mirror to this description, and particular, clean new proof symmetry for smooth stacks.

the present paper deals with the results of the foresight analysis concerning the development of energy technologies in upper silesia. twelve experts representing science, industry and independent authoritieswere involved in these investigations. upper silesia is a specific region in poland, characterized by coal energy technologies. as 9 result of steep and swot analyses several scenarios of e...

In the first two articles of this series, we investigated various higher analogues of Gauss composition, and showed how several algebraic objects involving orders in quadratic and cubic fields could be explicitly parametrized. In particular, a central role in the theory was played by the parametrizations of the quadratic and cubic rings themselves. These parametrizations are beautiful and easy ...

Racket’s syntax parameters support the hygienic implementation of syntactic forms that would otherwise introduce implicit identifiers unhygienically.