Efficient general secure multiparty computation (MPC) protocols were previously proposed, and the combination with the efficient auction circuits achieves the efficient sealed-bid auctions with the full privacy and correctness. However, the combination requires that each bidder submits ciphertexts of bits representing his bid, and their zeroknowledge proofs. This cost amounts to about 80 multi-...

Amyotrophic lateral sclerosis (ALS) is a fatal neurodegenerative disease characterized by the loss of motoneurons in the spinal cord, brainstem and motor cortex. Mutations in the superoxide dismutase 1 (SOD1) gene represent a frequent genetic determinant and recapitulate a disease phenotype similar to ALS when expressed in mice. Previous studies using SOD1(G93A) transgenic mice have suggested a...

Let I be the set of distinct items to be sold in a combinatorial auction, and let N = | I |. The terms auction set and auction size refer to I and N, respectively. Bidders can place bids on any item set, which refers to any non-empty subset of I. A bid b can be represented by the tuple b = (S, v, id). Here S denotes the item set the bid was placed on (∅ ⊂ S ⊆ I), also called the span of the bid...

We consider the evaluation of D-dimensional conformal invariant integrals which involve spin one-half and spin-one particles. The star-triangle relation for the massless Yukawa theory is derived, and the longitudinal part of the three-point Green function of massless QED is determined to the lowest order in position space. The operator algebraic method of calculating massless Feynman integrals ...

We use QCD sum rules to determine directly the leading–twist non–singlet operator matrix elements based on calculations of three–point correlator functions in configuration space. We find a different result from that obtained by integrating the structure functions’ expressions obtained by Belyaev and Ioffe based on calculations of four–point correlators in momentum space. The origin of this dis...

A parametrization of the Bose-Einstein correlation function of pairs of identical pions produced in hadronic e+eannihilation is proposed within the framework of a model (the T-model) in which space-time and momentum space are very strongly correlated. Using information from the Bose-Einstein correlations as well as from single-pion spec­ tra, it is then possible to reconstruct the space-time ev...

The relativistic transition amplitude for any two-body reaction involving only particles of nonzero mass but arbitrary spin is decomposed in terms of scalar amplitudes that are regular functions in the space of scalar invariants at points corresponding to regular points of the transition matrix elements in momentum space, on the mass shell. Detailed formulas for the scalar amplitudes in terms o...

Using the quadratic transformation and the generating function method we 3 4 R R → perform the Fourier transformation of the wave function of coordinates of hydrogen atom and we find the analytic expression of the wave function in momentum space. We derive the matrix elements between the basis to 4-dimensions and integral representation of the generating functions of Gegenbauer polynomials. We ...

We study properties of the momentum space Triple Pomeron Vertex in perturbative QCD. Particular attention is given to the collinear limit where transverse momenta on one side of the vertex are much larger than on the other side. We also comment on the kernels in nonlinear evolution equations.