Scaling in γ * p total cross sections and the generalized vector dominance/color dipole picture * Abstract The scaling in σγ * p cross sections (for Q 2 /W 2 << 1) in terms of the scaling variable η = (Q 2 + m 2 0)/Λ 2 (W 2) is interpreted in the generalized vector dominance/color-dipole picture (GVD/CDP). The quantity Λ 2 (W 2) is identified as the average gluon transverse momentum absorbed by...

Abstract Discrete ill-posed inverse problems arise in various areas of science and engineering. The presence noise the data often makes it difficult to compute an accurate approximate solution. To reduce sensitivity computed solution noise, one replaces original problem by a nearby well-posed minimization problem, whose is less sensitive than problem. This replacement known as regularization. W...

The goal of this paper is to construct infinite dimensional Lie algebras using infinite product identities, and to use these Lie algebras to reduce the generalized moonshine conjecture to a pair of hypotheses about group actions on vertex algebras and Lie algebras. The Lie algebras that we construct conjecturally appear in an orbifold conformal field theory with symmetries given by the monster ...

The well known influence maximization problem [1] (or viral marketing through social networks) deals with selecting a few influential initial seeds to maximize the awareness of product(s) over the social network. In this paper, we introduce a novel and generalized version of the influence maximization problem that considers simultaneously the following three practical aspects: (i) Often cross-s...

The main result is an improvement of previous results on the equation f(x) + f(y)− f(x+ y) = g[φ(x) + φ(y)− φ(x+ y)] for a given function φ. We find its general solution assuming only continuous differentiability and local nonlinearity of φ. We also provide new results about the more general equation f(x) + f(y)− f(x+ y) = g(H(x, y)) for a given function H. Previous uniqueness results required ...