theorem of alternative 中文意思是什麼
theorem of alternative
解釋
擇一定理- theorem : n. 1. （能證明的）一般原理，公理，定律，法則。2. 【數學】定理。
- of : OF ＝Old French 古法語。
- alternative : adj 1 隨便一個的，二中擇一的，交替的。2 非傳統[正統]的，另類的。 n 二者之一，二中選一；交替；可採...
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There are a number of alternative formulations of the reciprocity theorem.
還有許多別的互易定理的公式。 -
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。 -
In this thesis, some topics in vector optimization theory with set - valued maps are discussed. the concept of generalized subconvexlike set - valued map is defined, and some important properties of the new concept are discussed in linear space. under the assuption of generalized subconvexlikeness, a gordan - farkas type alternative theorem is proved
在線性空間中定義了廣義次似凸集值映射的概念，並討論了它的一些重要性質。在廣義次似凸性假設下，證明了gordan - farkas型的擇一性定理。 -
Under the assuption of - generalized convexity, relative interior is introduced, and a farkas - minkowski type alternative theorem is proved
在-廣義錐凸性假設下，引進相對內部，證明了farkas - minkowski型的擇一性定理。 -
In [ 6, 7 ] ( p = 2 ), r. p. agarwal and d. o ' regan used leray - shauder alternative and the fixed point theorem in cones to establish the existence of two positive solutions when q ( t ) may be singular at t = 0 or t = 1, nonlinearity may be singular at y = 0
Agarwal和d o 』 regan用leray - schauder抉擇和錐不動點定理證明了一個和多個正解的存在性其中g （ t ）允許在t = 0或t = 1處具有奇性，非線性項允許在y = 0處具有奇性
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