Next-to-next-to-leading order QCD analysis of combined data for xF 3 structure function and higher–twist contribution. Abstract The simultaneous QCD analysis of the xF 3 structure functions measured in deep-inelastic scattering by several collaborations is done up to 3–loop order of QCD. The x dependence of the higher–twist contribution is evaluated and turns out to be in a qualitative agreemen...

We consider a group-theoretic analogue of the classic subset sum problem. It is known that every virtually nilpotent group has polynomial time decidable subset sum problem. In this paper we use subgroup distortion to show that every polycyclic non-virtually-nilpotent group has NP-complete subset sum problem.

We provide an extensive study of the differential properties of the functions x 7→ x t −1 over F2n , for 1 < t < n. We notably show that the differential spectra of these functions are determined by the number of roots of the linear polynomials x t + bx + (b + 1)x where b varies in F2n .We prove a strong relationship between the differential spectra of x 7→ x t −1 and x 7→ x s −1 for s = n− t+ ...

We consider the problem of determining finite integer sets which are knapsack-solvable in linear time (that is, it is possible to determine in linear time, for any integer b, whether b can be expressed as a sum of distinct elements of that set) and where the largest element is as small as possible. We study the condition that the k-subsets (for fixed k) when lexicographically ordered have incre...

In this work, we propose to use the linear regression partial least square method to predict the output variables of the RA1G boiler. This method consists in finding the regression of an output block regarding an input block. These two blocks represent the outputs and inputs of the process. A criteria of cross validation, based on the calculation of the predicted residual sum of squares, is use...

In this paper, we made a statistical approach on the thermodynamic structure of the nucleon and its quark distributions. We assume that the nucleon is a thermodynamic system of quarks and gluons. After we derived the quark density of states from the Dirac Equation, we calculated each quark’s chemical potential, associating it with the quark’s spin distribution. By using the sum rule of the long...

Some new properties of the eigenvalues of the subdirect sums are presented for the particular case of 1-subdirect sums. In particular, it is shown that if an eigenvalue λ is associated with certain blocks of matrix A or matrix B then λ is also an eigenvalue associated with the 1-subdirect sum A ⊕1 B. Some results concerning eigenvectors of the k-subdirect sum A⊕k B for an arbitrary positive int...

The bosonic contributions to the photon mass are shown to be of the same form as the fermionic contributions, but of opposite sign. A mass sum rule for bosons and fermions follows from gauge invariance. Assuming completeness of the standard model the top quark mass can be predicted. Effectively only the W-bosons contribute, giving a lowest order prediction of 85.1 GeV for the mass of top quark,...