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- 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.
- 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.
- 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。
- 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。
- 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。
- 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 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。
- 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 investigates the existence of complex support functional of a convex function in complex linear spaces and the complex numerical ranges of the complex support functionals on a point. 摘要采用子空間中支撐泛函延拓的方法，構造出在復線(xiàn)性空間任意點(diǎn)上的復支撐泛函；
- 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。
- 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。
- 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.
- 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。
- A property of quadratic differential convex functions is proven and applications of it are given as well. 證明了二次可微凸函數的一個(gè)性質(zhì)，并給出了這個(gè)性質(zhì)的一個(gè)應用。
- R-convex functions are the generalizations of convex functions, which includes the family of convex. 凸函數是凸函數的一種推廣形式，它完全包含了凸函數族。
- The formula is given for? calculating? generalized directional derivative by using the directional derivative of convex functions. 給出了用凸函數方向導數計算廣義方向導數的公式.
- Moreover, a series of inequalities for this two types of convex function are established, which generalizes famous inequalities for general convex functions. 討論了這兩類(lèi)凸函數等價(jià)的條件,并建立了有關(guān)這兩類(lèi)凸函數一系列新的不等式,它們是通常的凸函數中某些著(zhù)名不等式的推廣。
