Introduction . Road safety is largely determined by the technical condition of vehicle, and especially control systems. The braking system one them. To improve its efficiency, various assistive electronic systems are now widely used. These vehicle through wheel mechanisms. Brake pads a constituent element friction-type brake mechanism. efficiency depends on quality, regardless presence auxiliar...

The SO(5)⊃ SO(3) spherical harmonics form a natural basis for expansion of nuclear collective model angular wave functions. They underlie the recently-proposed algebraic method for diagonalization of the nuclear collective model Hamiltonian in an SU(1, 1)× SO(5) basis. We present a computer code for explicit construction of the SO(5)⊃ SO(3) spherical harmonics and use them to compute the Clebsc...

I USE the term covariants to include invariants, and I write particularly concerning lists of covariants (groundforms) of the binary quintic and sextic, those of quantics of lower degree being few and well known. When the weight of a covariant is spoken of in this article, it must be understood to mean the weight of its first term or "source." The symbol 5ft will denote that covariant of the qu...

We characterize the angular polyspectra, of arbitrary order, associated with isotropic fields defined on the sphere S = { (x, y, z) : x + y + z = 1 } . Our techniques rely heavily on group representation theory, and specifically on the properties of Wigner matrices and Clebsch-Gordan coefficients. The findings of the present paper constitute a basis upon which one can build formal procedures fo...

GLh(n) × GLh′(m)-covariant (hh)-bosonic (or (hh)-fermionic) algebras Ahh′±(n,m) are built in terms of the corresponding Rh and Rh′-matrices by contracting the GLq(n) × GLq±1(m)-covariant q-bosonic (or q-fermionic) algebras A q± (n,m), α = 1, 2. When using a basis of A q± (n,m) wherein the annihilation operators are contragredient to the creation ones, this contraction procedure can be carried o...

Many non-Abelian finite subgroups of SU(3) have been used to explain the flavor structure of the Standard Model. In order to systematize and classify successful models, a detailed knowledge of their mathematical structure is necessary. In this paper we shall therefore look closely at the series of finite non-Abelian groups known as ∆(6n), its smallest members being S3 (n = 1) and S4 (n = 2). Fo...

We relate the canonical basis of the Fock space representation of the quantum affine algebra Uq(ĝln), as defined by Leclerc and Thibon [LT], to the canonical basis of its restriction to Uq(sln), regarded as a based module in the sense of Lusztig. More generally we consider the restriction to any Levi subalgebra. We deduce results on decomposition numbers and branching coefficients of Schur alge...

the density and viscosity values at t= (293.15 to 323.15) k for binary mixtures of nitromethane with 2-propanol, 2-butanol and 2-pentanol were measured over the entire composition range. from the experimental data, excess molar volumes, thermal expansion coefficients, excess thermal expansions, partial molar volumes at infinite dilution and deviations in viscosity were calculated. the results w...