LAWRENCE v. EDMONTON COUNCIL.

Cloning matters: how Lawrence v. Texas protects therapeutic research.

Hilbert Basis Theorem 1 Jonathan Backer University of Alberta Edmonton Piotr Rudnicki University of Alberta Edmonton

One can prove the following propositions: (1) Let A, B be finite sequences and f be a function. Suppose rngA∪rngB ⊆ dom f. Then there exist finite sequences f1, f2 such that f1 = f · A and f2 = f · B and f · (A a B) = f1 a f2. (2) For every bag b of 0 holds decomp b = 〈〈∅, ∅〉〉. (3) For all natural numbers i, j and for every bag b of j such that i ¬ j holds b↾i is an element of Bags i. (4) Let i...

Lawrence Kruger

University of Alberta Edmonton Canada

Multiscale Computation and Analysis for Schrödinger-Poisson System in Heterogeneous Materials Liqun Cao Chinese Academy of Sciences, China [email protected] In this talk, we discuss the multiscale computation for Schrödinger-Poisson system arising from the electronic properties of semiconductors such as quantum wells, wires and dots, and CMOS transistor. We first introduce the Schrödinger equat...

Higher Lawrence configurations

Any configuration of lattice vectors gives rise to a hierarchy of higher-dimensional configurations which generalize the Lawrence construction in geometric combinatorics. We prove finiteness results for the Markov bases, Graver bases and facet posets of these configurations, and we discuss applications to the statistical theory of log-linear models.