Computing Elementary Symmetric Polynomials with a Sublinear Number of Multiplications
Elementary symmetric polynomials $S_n^k$ are used as a benchmark for the bounded-depth arithmetic circuit model of computation. In this work
591 indexed results
Elementary symmetric polynomials $S_n^k$ are used as a benchmark for the bounded-depth arithmetic circuit model of computation. In this work
A nonmonotonic dependence of the differential resistance of the first step of a phase-slip line on the heat-reservoir temperature near
The electroweak phase transition in the magnetic and hypermagnetic fields is studied in the Standard Model on the base of
We propose that the principles of relativistic quantum mechanics are incomplete for simultaneous measurement of non-commuting operators. Consistent joint measurement
We present a study of event-by-event fluctuations of transverse momentum in $π^{+}\p$ and $\K^{+}\p$ collisions at 250 GeV/$c$ and the
By using a set of gauge transformations, the exact solutions of the XXZ spin chain with unparallel boundary magnetic fields
Remarkably simple closed-form expressions for the elements of the groups SU(n), SL(n,R), and SL(n,C) with n=2, 3, and 4 are
In this paper we review the hole argument for the space-time points and elementary particles and generalize the hole argument
In general, the mechanics of granular matter is described using continuum mechanics approach; this requires to introduce the concepts of
The model of Expansive Nondecelerative Universe leads to a conclusion stating that at the end of radiation era the Jeans
We study in details on how gauge bosons can acquire mass when the chiral symmetry dynamically breaks down for massless
We analyze the ground-state properties and the excitation spectrum of Bose-Einstein condensates of trapped dipolar particles. First, we consider the
We construct the hadronic multiplicity distribution in terms of an elementary distribution (at given impact parameter) and the inelastic overlap
A model of interaction of massless vector and spinor fields is considered. With the use of Bogolyubov quasi-average method we
A systematic procedure for generating certain identities involving elementary symmetric functions is proposed. These identities, as particular cases, lead to
The goal of this note is to give an elementary and very short solution to equations of motion for the
We consider massless elementary particles in a quantum theory based on a Galois field (GFQT). We previously showed that the
I develop here the microscopic quantum theory for description of creation of phonons and rotons in superfluid helium by a
The general local, nondissipative equations of motion for a quantized vortex moving in an uncharged laboratory superfluid are derived from
Since the subject of noncommutative geometry is now entering maturity, we felt there is need for presentation of the material
It is shown that elementary black hole can not be distinguished from an elementary particle in the non-commutative space-times (space/space
A description of elementary particles should be based on irreducible representations of the Poincaré group. In the theory of massive
It is shown that elementary excitations in fractal media obey the so-called parastatistics of a variable order. We show that
The new quantum number σis introduced. It is shown that the conservation of σ-number results in the conservation of difference