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- Every weakly countably compact closed convex set in a locally convex space has the quasi-weak drop property. 局部凸空間中每個(gè)弱可數緊閉凸集具擬弱滴狀性質(zhì).
- Pseudolinear function as a generalized convex function has been studied extensively. 摘要偽線(xiàn)性函數作為一種廣義凸函數已經(jīng)被廣泛的研究。
- This paper proves the equivalent relation of two definitions of convex function. 文章給出了兩個(gè)常用凸函數定義的等價(jià)性證明。
- These methods are Lagrange mean-value theorem, monotone function, extreme value of function, Taylor formula, concave and convex function. 提出六種常用的方法,并指出每一種方法的適用類(lèi)型、解決問(wèn)題的關(guān)鍵和證明問(wèn)題的具體步驟,最后結合實(shí)例說(shuō)明方法的可用性。
- Key words Biharmonic equation positive entire solution close convex subset continuous mapping relative compactness equicontinuity. 本刊中 包含“雙調和方程;正整解;閉凸子集;連續映照;相對緊;等度連續.
- This Paper discusses the linear regression of one variable from the vie-wpoint of convex set and convex function in the light of the MSAE principles. 本文用凸集和凸函數觀(guān)點(diǎn)討論按MSAE準則下的一元線(xiàn)性回歸.
- A conic linear system is a system of the form P: find x that solves b- Ax E Cy, E Cx, where Cx and Cy are closed convex cones, and the data for the system is d = (A, b). 本文的主要目的,在于利用一套系統化的設計方法,來(lái)設計新型螺栓成型機可調行程之后通出機構。
- In this paper,the complete conjugte properties about the upper and lower exponents for mutual conjugate convex function on linear spaces are obtained. 在一般線(xiàn)性空間上,給出凸函數的上、下指數的定義,并建立了共軛凸函數的指數共軛關(guān)系.
- Here we discuss its properties basing on the definition of the strong pseudoconvex function,and give its relationship with strong convex function. 文中在給出強偽凸函數定義的基礎上討論了它的一些性質(zhì),另外還給出了它與強凸函數之間的關(guān)系。
- The paper uses the Convex Function to form the order Statistics and the Linear Rank Statistics, and prove the asymptotic normality of the statistics. 摘要本文用凸函數構造了線(xiàn)性次序統計量和線(xiàn)性秩統計量,并證明了它們的漸近正態(tài)性。
- The author probes into the important application of convex function in proving inequalities,popularizes and proves some inequalities,and obtains some new results. 探討了凸函數在不等式證明中的重要應用,推廣并證明了一些不等式,得到了新的結果。
- The results show that, by properly choosing convex function according to specific application, the performance of QE can be made better than that of entropy. 結果表明,根據特定應用,恰當選取凸函數,可令準熵獲得比熵更好的性能。
- Some important properties of multifacility location models are to be dealt with, and an optimality condition for multifacility location problem on a closed convex set is put forward. 主要討論多場(chǎng)址模型的性質(zhì),并給出了閉凸集上多場(chǎng)址問(wèn)題的最優(yōu)性條件。
- As applications of majorizing inequality of convex function of several variables, some majorizing inequalities of eigenvalue and singular value of matrix are obtained. 作為多元凸函數的控制不等式在矩陣方面的初步應用,獲得了矩陣特征值和奇異值的簡(jiǎn)潔的控制不等式。
- This paper proves the converse propositions of the higher order Cauchy Mean Value Theorem and higher order Lagrange Mean Value Theorem under concave and convex function and strictly concave and convex function. 在函數凹凸和嚴格凹凸的條件下 ,文章引出并證明了高階Cauchy中值定理和高階Lagrange中值定理的 4個(gè)逆命題。
- The definitions of N-stationary sequence and the N-stationary sequence of continuous convex function are given, and the relationships between the sequences and their properties are obtained. 給出了非光滑凸函數的N-穩定序列和N-穩定序列的概念,并得到了它們的一些性質(zhì)和它們之間的一些關(guān)系.
- This paper discusses the relationship between quasi-concave and pseudo-convex in the generalized convex function in the Linear topological space and offers some conditions of equivalence. 摘要討論了線(xiàn)性拓撲空間上廣義凸函數中的擬凸與偽凸之間的關(guān)系,并給出它們之間的一些等價(jià)條件。
- In this paper, we have estabished the closed convexities and connectedness of the cone weak subdiffrerential of limit mapping of set-valued mapping sequence. 摘要在文(上標[3,4])的基礎上,給出了集值映射序列的極限映射的錐弱次微分的閉凸性和連通性。
- Alternative characterization of concave and convex functions which is sometimes useful. 對于凹函數和凸函數還有一個(gè)替補的表征,有時(shí)它是有用的。
- Duality is emphasized throughout,particularly in the form of Fenchel's conjugacy correspondence for convex functions. 這本書(shū)的目的是為了提供各類(lèi)凸集和凸函數理論的介紹,它們在極值問(wèn)題的應用中發(fā)揮核心作用。