We review small x contributions to perturbative evolution equations for parton distributions, and their resummation. We emphasize in particular the resummation technique recently developed in order to deal with the apparent instability of naive small x evolution kernels and understand the empirical sucess of fixed–order perturbation theory. We give predictions for the gluon distribution and the...

This paper proposes a fast algorithm for Boolean matching of completely specified Boolean functions. The algorithm can be applied on-the-fly to millions of small practical functions appearing in industrial designs, leading to runtime and memory reduction in logic synthesis and technology mapping. The algorithm is conceptually simpler, faster, and more scalable than previous work.

Small sets. We are going to present some results of the following type: under a suitable assumption on a normed space X, each continuous convex function, defined on an open convex set A ⊂ X, is (Gâteaux or Fréchet) differentiable outside a set which is in some sense small. It is natural to ask that a nonempty family S ⊂ 2X whose elements are considered “small sets” satisfy the following conditi...

The beans function BG(x) of a connected graph G is defined as the maximum number of points on G such that any pair of points have distance at least x > 0. We shall exhibit lower and upper bounds of BG(x) for x < 1 and a class of graphs which have the same number of edges and whose beans functions distinguish them. Also, we give some non-isomorphic graphs which have the same beans function.

Shannon’s notion of entropy remains a benchmark reference for understanding information and data content of cryptosystems. Ideally, secure ciphers maintain high entropy between possible plaintext ciphertext pairs. The one time pad, though perfectly secure in terms of entropy, remains impractical in most general cases due to key management issues. We discuss in this paper the similar notion of f...

This talks examines the effect of angular ordering on the small-x evolution of the unintegrated gluon distribution, and discusses the characteristic function for the CCFM equation. For some time now it has been known that angular ordering [1] is an essential element in any description of small-x final state properties [2]. As a first step of a programme to study the final state in small-x physi...

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The aim of this paper is to use the concept of the metafrontier function to study the determination of efficiency differentials and Technological Gap Ratio (TGR) on wheat production in Khorasan Razavi province. In this study, we used the metafrontier function and group frontier based on the concept of Stochastic Nonparametric Envelopment of Data analysis (StoNED). The data used in this stud...

the aim of the paper is to survey factors productivity in small & medium scale manufactories located in toos industrial town. in order to achieve this purpose, production functions of different industrial groups are estimated on the base of cross-section data in 2005. then elasticity of factors production, average productivity, marginal productivity, labor intensive and capital intensive are de...