Showing papers in "Acta Mathematica Scientia in 1985"

TL;DR: In this article, a convergence theorem for the Lax-Friedrichs scheme applied to the isentropic equations of gas dynamics is established for any approximate solution satisfying the compactness frame.

TL;DR: The properties of the stable group theory are discussed in this paper, and the mathematical models of the insect legs, a pair of hands, and human chromosomes are established using stable group theories.

TL;DR: In this paper, the following stochastic integral equation is considered: X z = Φ (X ). + F ( X ). A z + G (X). M z, z ∈ R + 2, where A is a continuous increasing process, M is continuous martingale.

TL;DR: In this paper, an initial boundary value problem of the Korteweg-de Vries equation is considered and a conservation law for this problem is derived, and the convergence of this scheme is strictly proved.

TL;DR: In this paper, the authors considered the case where the zero or extreme points of regression function h(x) are not singal, and the measurement errors are quite general, and suggested a truncated Bobbins-Monro (RM) or Kiefer-Wolfowitz (KW) algorithm for the problem.

TL;DR: In this paper, an enumeration problem on t -ary trees with m interior nodes and n leaves is discussed and the number of structurally different t -aries with m internal nodes andn leaves is counted.

TL;DR: In this paper, a transfinite basis of the bidual space of the long James space is presented, and it is shown that the space J (ω+r) has the approximation property, where r is any finite integer.

TL;DR: In this paper, a complete generalization of Kalton's closed graph theorem is obtained, and the class of Lr-spaces is shown to be the maximal class of range spaces.

TL;DR: In this paper, it was shown that the SU (m+n) ⊃ SU(m) × SU(n) isoscalar factors (ISF) are equal to the S(f1+f2) outer-product ISF of the permutation group.

TL;DR: In this article, the nice selector determining the set of invariants has been discussed and a new conception of the nice selective pattern determining the nice selectors has been proposed, and an identification algorithm has been given for identifing the canonical form corresponding to natural nice selective patterns.

TL;DR: A new method to represent matroids by complexes is introduced, necessary and sufficient conditions for a complex to be a matroid complex are given and certain concepts in matroid theory are extended to complexes, so that one may solve certain problems concerning matroid by converting them into problems concerning complexes.

TL;DR: In this article, a necessary and sufficient condition for a (m, n)-tree to have a 1-factor is given, where n is the number of nodes in the tree.

TL;DR: In this article, the authors generalize the Noether theorem to the constrained system whose motion is described in terms of the nonindependent state functions, and apply it to the incompressible continuous media.

TL;DR: A mathematical definition for the “caution” and “probing” is given, and a decomposition theorem for nonlinear discrete-time stochastic systems is presented, and the problem of finding the closed-loop optimal control can be decomposed into three problems.

TL;DR: In this article, the even and odd generators of the ortho-symplectic group OSp(414) have been calculated concretely in its dyads representation, and new superfields, Lagrangian and the action integral, have been introduced in this flat case.

TL;DR: In this article, the stability analysis of a class of linear time-invariant large-scale systems with multiple delays was studied and a sufficient condition of absolute stability was derived for low order systems described by differential-difference equations.

TL;DR: In this paper, the problems caused in evaluating Φ -integrals by Taylor series expansions are discussed and the formulas of evaluating the Φ-integrals are obtained by using potential theory.