generalized theorem 中文意思是什麼
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The uniqueness theorem of generalized quasi - analyticity of the infinitely differentiable functions in some closed angular domain is extehded to the functions of several complex variables
摘要把無窮可微函數類在角形閉區域上的唯一性結果推廣到了多維情形。 -
Zhu had deduced generalized fenchel ' s duality theorem in [ 8 ], and further applied it to minimum discrimination information ( mdi ) problem
朱德通在文[ 8 ]中導出廣義的fenchel對偶定理，並將此定理成功地應用於帶約束的最小區別信息量問題（簡稱mdi問題） 。 -
Generalized dauss theorem and the electrostatic force on the interface
普遍的高斯定理和界面上的電場力 -
Equilibrium existence theorem of generalized largest element game
平衡的存在性 -
We reduce the cauchy problem of equations ( 8 ), ( 9 ) to an equivalent integral equations by the fundamental solution of a second order partial differential equation. then using the contraction mapping principle and the extension theorem of the solution we prove the existence and uniqueness of the global generalized solutions and the existence and uniqness of the global classical solution
先是通過一個二階偏微分方程的基本解，把imbq型方程組歸） ， p ）的初值問題轉化為等價的積分方程組，然後利用壓縮映射原理、解的延拓定理等證明了歸） ，問的初值問題的整體廣義解和整體古典解的存在唯一性 -
Fixed point theorem and system of generalized vector equilibrium problems in the product space of topological vector spaces
乘積拓撲矢量空間中的不動點定理和廣義矢量平衡問題組 -
The direct and inverse theorem of weighted approximation by generalized baskakov operator
運算元加權逼近的正逆定理 -
The proof of the generalized cauchy mean - value theorem with method of interpolation
利用插值法證明推廣的柯西中值定理 -
Lagrange and cauchy differential mean value theorem on open interval are obtained based on generalized roll ' s theorem, which make it more expedient to study general character of function defined on open interval by means of derivative
摘要基於推廣的羅爾中值定理，得到有限開區間上的拉格朗日中值定理及柯西中值定理，使得利用導數研究開區間上函數的整體性態更為方便。 -
Using riemann - schwarz ' s symmetry principle of complex functions, the above problems are transformed into riemann - hilbert boundary problems. by combining the analysis of singularity of complex functions, generalized liouville ' s theorem, cauchy model integral and residue theorem, the general solutions of above problems are presented
創造性運用復變函數解析延拓原理，將上述問題轉化為riemann - hilbert邊值問題，結合復應力函數奇性主部分析方法、廣義liouville定理、 cauchy型積分和留數定理，獲得了上述問題的一般解答。 -
Under the assuption of generalized subconvexlikeness, the optimality conditions of set - valued optimization problems in linear space are established by using obtained gordan - farkas type alternative theorem. under the assuption of near subconvexlikeness and - generalized convexity, the optimality conditions of set - valued optimization problems in linear topological space are established by using alternative theorem of near subconvexlikeness and obtained farkas - minkowski type alternative theorem. the concepts of super efficient solution and - super efficient solution are defined in normed space, and the optimality conditions of set - valued optimization problems are established under the assuption of semi - preinvexity
在廣義次似凸性假設下，利用已獲得的gordan - farkas型的擇一性定理，建立了線性空間中集值優化問題的最優性條件。在近次似凸和-廣義錐凸性假設下，利用近次似凸集值映射的擇一性定理和已獲得的farkas - minkowski型的擇一性定理，建立了線性拓撲空間中集值優化問題的最優性條件。 -
The paper is concerned with periodic solutions to nonautonomous second order hamilton systems where, m : [ 0, t ] - s ( rn, rn ) is a continuous mapping in the space s ( rn, rn ) of symmetric real ( n x n ) - matrices, such that for some u > 0 and all ( t, z ) [ 0, t ] x rn, ( m ( t ) x, x ) > u | x | 2. a s ( rn, rn ), f : [ 0, t ] x rn r is continuous and f : [ 0, t ] xr r exists, is continuous and we study the existence of periodic solutions of the systems by using ekeland variational principle and the saddle points theorem. we suppose that the nonlinearity vf and potential f belongs to a class of unbounded functional. our work improves the existed results. we obtained the results of multiplicity of periodic solutions of the systems by using lusternik - schnirelman category theory and the generalized saddle points theorem, and the functional does not need the condition of constant definite. at last, we obtained the existence of infinity many distinct periodic solutions of the corresponding non - perturbation systems by using the symmetric mountain pass theorem
（ ? ， ? ）為r ~ n中內積， | ? |為對應范數。 f [ 0 ， t ] r ~ n r連續， ? f （ t ， x ）存在且連續， h l ~ 1 （ 0 ， t ； r ~ n ） 。利用ekeland變分原理和鞍點定理討論了該系統周期解的存在性，把非線性項和位勢函數放寬到一類無界函數，推廣了這方面工作的一些已有結果；利用廣義鞍點定理和lusternik - schnirelman疇數理論得到了該系統的多重周期解，取掉了泛函的常定要求；最後利用對稱山路定理得到沒有擾動時系統的無窮多周期解。 -
At first, we introduce a class of generalized s - r - kkm type mapping in g - convex space, and establish generalized s - r - kkm type nonempty intersection theorem under the noncompact setting of g - convex space. as for application, some new minimax inequalities, saddle point theorem and existence theorem of maximal elements are proved in g - convex spaces ; second, by using the generalized r - kkm mapping and generalized r - kkm theorems in [ 13 ], some new existence theorem of maximal elements, existence theorem of equilibrium point for the abstract generalized vector equilibrium problem and existence theorem of solutions for equilibrium problem with lower and upper bounds are obtained in topological spaces
首先，我們在g -凸空間內引入了廣義s - r - kkm型映像，並在非緊設置下建立了一類新的廣義s - r - kkm型非空交定理，作為應用，證明了g -凸空間內一些新的極大極小不等式、鞍點定理和極大元存在定理；其次，利用文[ 13 ]中引入的廣義r - kkm映像和廣義r - kkm定理，在拓撲空間上得到了一些新的極大元存在定理、抽象廣義矢量平衡問題平衡點的存在定理和有上下界的平衡問題解的存在性定理。 -
Generalized residue theorem for vector - valued generalized m - analytic function and their applications
解析函數的廣義留數定理及其應用 -
The model consists of two parts : the multi - structuring elements filter formed according to the generalized morphological denotation theorem, and an learning procedure to obtain optimal structural parameters
該模型由形態學統一表示定理構成的多結構基元濾波器和結構參數優化學習兩個部分組成。 -
This theorem have been generalized in many ways. there are mostly two aspects in them, one is replacing the space r in insertion theorem by completely distributive lattices with some countability, i. e., liu and luo in [ 6 ] try to use lower ( upper ) semicontinuous map well defined to define the normality of fuzzy topol ogical space and gain a series of good results [ 6 ]
這一定理已經被以多種形式推廣，其中主要有兩個方向，一個是用具有某種可數性的完全分配格來代替插入定理中的實數空間r ，即劉應明和羅懋康在他們合寫的文[ 6 ]中就嘗試在格上定義模糊拓撲空間的正規性，並得到了一系列很好的結果。 -
Abstract : basing on the introduction of brim - vector and face - vector, by means of analogy, the paper popularizes the cosine - theorem from flat - triangle to vacuum - polygon and arbitrary - polyhedron, concludes a series of generalized cosine - theorems which have symmetric and conformable form, and presents short and strict proof
文摘:在引入邊矢量及面矢量概念的基礎上，以類比作為手段，對餘弦定理進行由平面三角形到空間多邊形乃至任意多面體的一系列推廣，得出了形式對稱一致的一組廣義餘弦定理，並給出了其簡捷嚴謹的證明。 -
At the same time, we especially study a class of abstract generalized vector equilibrium problem ( in short, agvep ) in g - convex space, using the generalized s - r - kkm type theorem, we establish some new existence theorems of equilibrium points for the agvep in noncompact g - convex spaces
同時，我們在g -凸空間內著重研究了一類抽象廣義矢量平衡問題（簡稱agvep ） ，利用廣義s - r - kkm型定理在非緊g -凸空間內建立了一些新的抽象廣義矢量平衡問題平衡點的存在定理。 -
And hsu - robbins type theorem is generalized to the situation of - - mixing random fields
且將hsu - robbins型定理推廣到~ * -混混合隨機場的情形。 -
Generalized taylor theorem and asymptotic characteristic of mean mid - value
定理及其中值點的漸近性
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