REMARK ON BANACH-STEINHAUS THEOREM

In this paper, we have proved the generalized form of the inverse theorem of resonance theorem for additive and convex functions in the normed linear space under much more weak conditions.     

Existence Theorem of Upper Bound Constant of Multiplier for ELSP and An Improved Algorithm

In this paper we prove existence theorem of upper bound constant of multiplier for ELSP and propose an easily programmable algorithm for solving the problem of determining lot size for n items to be produced on a single machine based on the existence theorem. We give some interesting examples to show the bound constant is useful. In some cases we can find optimal solution immediately with the bound constant and it is difficult to find a feasible solution without this bound constant.     

Study on the Realizing Meathod of the High Precision Real-Time Detection of the Concentration of Free State Chlorine

A high precision detecting method for the concentration of free state chlorine is realized in this paper, which is based on the photoeffect,compton scattering,Lambert-Beer theorem,using a novel SMM double-wavelength,double-beam spectrophotometry.     

A Method of Solving the Structural Fuzzy Finite Element Equilibrium Equations

Based on resolution of interval numbers and fuzzy resolution theorem,we develop a method of solving the structural fuzzy finite element equilibrium equations. A lot of calculations and analyses show,the method presented in this paper is correct and feasible.     

A METHOD OF SYSTEM IDENTIFICATION AND MODEL REDUCTION BASED ON TIME-DOMAIN RESPONSE OF A DYNAMIC SYSTEM

This paper combines model reduction with system identification by means of time-domain function approximation, and presents a new time domain method of direct identification of linear reduced model and model reduction, and demonstrates existence theorem of its solution and criterion of order determination. Simulation tests show that the method is simple, accurate with few data requirement.     

The Stability of Quaternion Metrices and Their Judging Criteria

Some conceptions of stable quaternion matrices and some judging criteria are given.The Robrach theorem,Taussky theorem,Ostrowski Schneider theorem and Gerschgorin theorem are generalized to quaternion field.The conclusion about two quaternion matrices,i.e.,inferior positive matrices are unstable,interior negative matrices are stable and some other results are pointed out.     

THE THEOREM OF STATIONARY VALUE OF WEIGHTED ENERGY AND ITS WEIGHTING FUNCTIONS

This paper presents two energy functionals which are made as stationary values. Thus, the theorem of stationary value of weighted generalized potential energy and the theorem of stationary value of weighted generalized complementary energy are established. In the first theorem, the stress boundary weighting function must be equal to the internal weighting function while the displacement boundary weighting function is independen; and in the (?)econd theorem, the displacement boundary weighting function must be equal to the internal weighting function while the stress boundary weighting function is independent.     

A Stolving method for a group of differential equations and the solution of circular plate thermo-bending

A theorem solving a group of non-homogeneous linear differential equations tlirough integrating its basic solutions is putforward and proved,the mothematical play and physical natrue of the theorem is expouded, As an example,the theorem is applied to solving the question of thermo-bending of circular plate irradiated by laser.     

植物提取物对桃采后褐腐病(Monilinia.fracticola)的防治研究

在室温条件下,用3种植物提取物2号、5号和12号的不同浓度处理对桃果实采后褐腐病防治效果进行了探讨.结果表明,与仅接种褐腐病菌(M.fracticola)的对照(ck)相比,提取物2号的3个浓度处理均能显著抑制褐腐病菌对桃果实的侵染(P＜0.01),并且浓度越高抑制效果越明显,其中用50mg/mL浓度处理的桃果实腐烂率为0;提取物5号处理也能显著抑制桃果实采后褐腐病的发生,用12.5 mg/mL浓度处理的防治效果最佳,腐烂率也为0;提取物12号的3个浓度处理得到的果实病斑直径基本相同,而发病率是随着提取物浓度的升高而明显降低,但总体效果均显著好于ck(P＜0.01).     

Optimality Conditions for Set-Valued Vector Minimization Problem

For set valued vector minimization problem with inequality constraint, a sufficient optimality condition theorem and a necessary Fritz John type optimality condition theorem is derived in terms of the generalized contingent epiderivative. Finally,a Kuhn Tucker necessary type optimality condition theorem for the set valued vector minimization problem is presented in terms of contingent epiderivative.     

Fixed Points on Complete Metric Spaces and Normed Linear Spaces

By properties of a real function, fixed points problem on two complete metric spaces are discussed.The result generalizes corresponding result of Fisher.Moreover, this result provides a general convergence rate estimate. Meanwhile, we discuss the existence of fixed point on two normed linear spaces under the condition of weak topology, and we obtain a new fixed point theorem.     

Irregular Sampling Theorem on the Frame

From the space V 0 , the scaling function of it is found. It is possible to transform the frame of V 0 into Riesz base of it (of course, the orthogonal bases are also Riesz bases),so that the irregular sampling theorem on the frame is changed into the one on the Riesz bases, in other words, the irregular sampling theorem on the Riesz bases is extend onto the frame. The irregular theorem on the frame can be used to the signal process.     

Dual Theory of Nonsmcoth Multiobjective Programming with Set Functions

In this paper,for a nonsmooth multiobjective programming with set functions,Wolfe type duality and MondWeir type duality are established. Weak dual theorem,direct dual the-orem and in verse dual theorem about effictent solution are discussed.     

NECESSARY CONDITIONS OF SOLUTIONS FOR VECTOR EXTREMAL PROBLEMS

In this paper, we give the theorems of the alternative, the lag-range multipler theorem, Kuhn-Tucker conditions, saddle poin t optimality conditions and duality theorem concerning efficient and weak efficient solutions when objective function be D-ordered subconvexlike. The results here have extended many conclutions of [1][3][4]     

THREE CRITICAL POINTS THEOREM AND ITS APPLICATIONS

In this paper, by use of the pseudo-gradient vector field, the three critical points theorem in [2] is extended to the C1 function in the Ba-nach space, and therefore the three critical, points theorem in [5] is strengthened and the existence of the saddle point of the C2 function is discussed.     

Existence of an Arbitrage about Portfolio in an Unequilibrium Market

This article has discussed the problem of an arbitrage about an portfolio in an unequilimarket and got a determinable theorem about existence of an arbitrage about an portfolio. According to this theorem,an arbitrage about portfolio is not existing if there exists a respect martignal measure.A structural result about existence of arbitrage about an portfolio in a market is gotten. All results represent the existence of an arbitrage about an portfolio is related closely to the type of market.     

THE CLASSIFICATION THEOREM OF THE STATES FOR AN IRREDUCIBLE APERIODIC MARKOV.CHAIN AND ITS APPLICATION ON CERTAIN QUEUEING PROCESS

A sufficient condition of the recurrence and a sufficient and ne- cessary condition of the transience for an irreducible and aperiodic Markvo chain are given in this paper. The theorem 4 and- theorem 5 proved by F, G. Foster [1] are just the particular cases of them. Finally, these results are applied to the embedded Markov chain associated with queueing process so as to resolve the problem of the state classification for M/G/1 queueing process with bulk service studied by Bailey [2].     

若干小麦抗白粉病品系的有效抗病基因的测定

采用具有不同毒性基因的白粉菌菌株进行苗期接种，通过与已知抗病基因材料抗谱的相似性比较，对１７个抗白粉病育种品系的有效抗病基因进行了分析，其中３个阿拉拉特小麦杂种后代品系、４个Ｖ．Ｐ．Ｍ系统的杂种后代品系及另外１个杂交组合的后代品系含主效抗病基因Ｐｍ２；４个具有Ｖ．Ｐ．Ｍ或Ｃ３９血缘的品系及另外１个品系含主效抗病基因Ｐｍ４ ｂ；１个品系含Ｐｍ２＋６；２个普通小麦－黑麦６Ｄ／６Ｒ代换系的抗谱相似，且不     

FUZZY OPTIMAL MODEL OF ROCK CLASSIFICATION

This paper proposed a fuzzy optimal model of rock classification, according to a number of controlling factors of rock classification. Satisfactory results are obtained by applying the model to the real rock mass classification.     

Plastic slip stability analysis of gangue granular media

This paper studies the landslide mechanism by the analysis of accumulation form, topography and geomorphology, self structure and natural river system of Weijiagou coal gangue hill. The limit state function is established based on plasticity mechanics limit analysis upper bound theorem and Bishop slices method, combining reliability theory. The safety coefficient and reliability index of Weijiagou coal gangue slope is calculated. The plasticity limit analysis upper bound theorem can consider the interior stress strain relation of soil, so the formula derivation process is stricter. It is the consideration of the variability of gangue parameters that making the evaluation result more reasonable.