For every composition λ of a positive integer r , we construct a finite chain complex whose terms are direct sums of permutation modules M for the symmetric group Sr with Young subgroup stabilizers Sμ. The construction is combinatorial and can be carried out over every commutative base ring k. We conjecture that for every partition λ the chain complex has homology concentrated in one degree (at...

If the integer translates of a function φ with compact support generate a frame for a subspace W of L 2 (R), then it is automatically a Riesz basis for W, and there exists a unique dual Riesz basis belonging to W. We demonstrate that considerable freedom can be obtained by considering oblique duals, i.e., duals not necessarily belonging to W. For example, we present a condition for the existenc...

Adult non-native perception is subject to influence from a variety of factors, including native language experience. The present research examines the effect of linguistic experience on non-native tone perception and tone word learning. Native Thai and English-speaking participants completed seven sessions of lexical identification training on words distinguished by Cantonese tones. A tone iden...

An almost general consensus exists on the idea that deconfinement is an order disorder transition. The present experimental upper limits on the observation of free quarks are 15 orders of magnitude smaller than what is expected in the absence of confinement. The only natural interpretation is that confinement is an absolute property relying on symmetry. The confined phase of QCD is disordered (...

A linear program is typically specified by a matrix A together with two vectors b and c, where A is an n-by-d matrix, b is an n-vector and c is a d-vector. There are several canonical forms for defining a linear program using (A, b, c). One commonly used canonical form is: max cx s.t. Ax ≤ b and its dual min by s.t A y = c, y ≥ 0. In [Ren95b, Ren95a, Ren94], Renegar defined the condition number...

Let k be an algebraically closed field and let T be the k-linear algebraic triangulated category generated by a w-spherical object for an integer w. For certain values of w this category is classical. For instance, if w = 0 then it is the compact derived category of the dual numbers over k. As main results of the paper we show that for w ≤ 0, the category T has no non-trivial t-structures, but ...

At high energies, elastic hadronic cross sections, such as pp, pp, πp, are dominated by vacuum exchange, which in leading order of the 1/Nc expansion has been identified as the BFKL Pomeron or its strong AdS dual the closed string Reggeized graviton [1]. However the difference of particle anti-particle cross sections are given by a so-called Odderon, carrying C = -1 vacuum quantum numbers ident...

We present a novel abstraction for bounding the Clarke Jacobian of Lipschitz continuous, but not necessarily differentiable function over local input region. To do so, we leverage abstract domain built upon dual numbers, adapted to soundly over-approximate all first derivatives needed compute Jacobian. formally prove that our forward-mode interval evaluation produces sound, domain-based over-ap...