We prove the existence of such a compactification for arbitraryk.
例句来源
For such maps, we prove the existence of an algebraic (?,+)-action φ on ?n for whichF is invariant.
例句来源
In this paper, we will formulate a general (parameter dependent) semistability concept for such triples, which generalizes the classical Hilbert--Mumford criterion, and we establish the existence of moduli spaces for the semistable objects.
例句来源
This includes the polynomiality of the invariant subalgebra of the symmetric algebra of a (truncated) parabolic subalgebra, the existence of a slice to the regular coadjoint orbits and the construction of maximal Poisson
例句来源
We study the general question of the existence of self-similar lattice tilings of Euclidean space.
In the first part of this paper we consider the partial differential equa-tion as a generalized Euler-Poisson equation:(?) (1.1)where β,β′are constants, and a(x,y),b(x,y),c(x,y),d(x,y)are all regularfunctions in Hadamard's sense.Therefore x=y is the singular line of thecoefficients.The behaviors of the solutions of(1.1)in the neighborhood ofthe singular line x=y are described by introducing the concepts of“index”and the“regular part”:Let ρ be a constant and υ(x,y)be a regularfunction(υ(x,x)≠0)such thatu(x,y...
This short paper investigates two aspects of Chew-Low equations. First, it is compared with the usual formal theory of scattering, for example, that developed by Moeller. In comparison, it is proved that the wave functions occuring in the two formalisms are identical, apart from a constant multiple which represents the scalar product of the wave functions of a bare nucleon and a dressed nucleon. Next, equations of Chew-Low type with two h functions both possessing discontinuities along real axis from 1 to ∝...
in this paper we use the principle of Majority to proof the convergence of Cheidecev's numerical method to solue nonlinear operative equation, together with the existence, uniqueness and correctly of canchy's problem of differntial equation in Banach space.