Short note: This is a supplementary text for the manuscript with the same title. The additions are the parts that handle stability under randomizations, pairwise p-value comparison of GSZ with other tested scoring functions, the most of the materials and methods, and derivation of E(S|N) and D(S|N) required for the derivation of the GSZ-score. This text represent five major findings: (a) Stabil...

A U(2, 2|4)-invariant A-model constructed from fermionic superfields has recently been proposed as a sigma model for the superstring onAdS5×S. After explaining the relation of this A-model with the pure spinor formalism, the A-model action is expressed as a gauged linear sigma model. In the zero radius limit, the Coulomb branch of this sigma model is interpreted as D-brane holes which are relat...

Input Distance ( ) is introduced as a metric for propositional resolution derivations. If F = Ci is a formula and D is a clause, then (D;F) is de ned as minijD Cij. The for a derivation is the maximum of any clause in the derivation. Input Distance provides a re nement of the clause-width metric analyzed by Ben-Sasson and Wigderson (JACM 2001) in that it applies to families whose clause width g...

Let k be a field of characteristic zero, n any positive integer and let δn be the derivation ∑n i=1Xi ∂ ∂Yi of the polynomial ring k[X1, . . . , Xn, Y1, . . . , Yn] in 2n variables over k. A Conjecture of Nowicki (Conjecture 6.9.10 in (8)) states the following ker δn = k[X1, . . . , Xn, XiYj −XjYi; 1 ≤ i < j ≤ n] in which case we say that δn is standard. In this paper, we use the elimination th...

Semantic 1 Semantic 2 Derivation Semantics Base Models yes! yes! no! Resolutions Features Derivation Operators MSPL DSL1 DSLn Semantic 3 ! Semantic 4 D1! D2! D3! F i g u r e 1 . 3 : S e m a n t i c s v a r i a t i o n o f d e r i v a t i o n o p e r a t o r s . 1.3.2 Semantics specialization mechanisms C V L p r o v i d e s m e a n s t o b e s p e c i a l i z e d : i t h a s a s e m a n t i c a...

Let R be a commutative ring with identity. By a Bres̃ar generalized derivation of R we mean an additive map g : R→ R such that g (xy) = g (x) y + xd (y) for all x, y ∈ R, where d is a derivation of R. And an additive mapping f : R → R is called a generalized derivation in the sense of Nakajima if it satisfies f(xy) = f(x)y + xf(y) − xf(1)y for all x, y ∈ R. In this paper we extend some results o...

We give a new derivation of the threshold of appearance of the k-core of a random graph. Our method uses a hybrid model obtained from a simple model of random graphs based on random functions, and the pairing or configuration model for random graphs with given degree sequence. Our approach also gives a simple derivation of properties of the degree sequence of the k-core of a random graph, in pa...

In this paper we expand upon the theme of modified Fourier expansions and extend the theory to a multivariate setting and to expansions in eigenfunctions of the Laplace– Neumann operator. We pay detailed attention to expansions in a d-dimensional cube and to an effective derivation of expansion coefficients there by means of quadratures of highly oscillatory integrals. Thus, we present asymptot...

X iv :0 80 1. 22 07 v1 [ m at h. R A ] 1 5 Ja n 20 08 The derivation algebra and automorphism group of the twisted Schrödinger-Virasoro algebra Junbo Li, Yucai Su ∗)Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, China †)Department of Mathematics, Changshu Institute of Technology, Changshu 215500, China ‡)Department of Mathematics, University of Science and Technology...

When an algebra is graded by a group, any additive character of the group induces a diagonalizable derivation of the ring. This construction is studied in detail for the case of a path algebra modulo relations and its fundamental group. We describe an injection of the character group into the first cohomology group following Assem-de la Peña. Rather general conditions are determined, in this co...