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- Here we discuss its properties basing on the definition of the strong pseudoconvex function,and give its relationship with strong convex function. 文中在给出强伪凸函数定义的基础上讨论了它的一些性质,另外还给出了它与强凸函数之间的关系。
- strongly convex function 强凸函数
- strongly convex functions 强凸泛函
- Pseudolinear function as a generalized convex function has been studied extensively. 摘要伪线性函数作为一种广义凸函数已经被广泛的研究。
- This paper proves the equivalent relation of two definitions of convex function. 文章给出了两个常用凸函数定义的等价性证明。
- These methods are Lagrange mean-value theorem, monotone function, extreme value of function, Taylor formula, concave and convex function. 提出六种常用的方法，并指出每一种方法的适用类型、解决问题的关键和证明问题的具体步骤，最后结合实例说明方法的可用性。
- 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. 本文用凸集和凸函数观点讨论按MSAE准则下的一元线性回归.
- Especially, when the holomorphic self-maps are defined on following domains: the unit disk, the unit ball, the bounded strongly convex domain and the bidisc, many good results have been achieved. 其中对于单位圆、超球、有界强凸域和双圆柱上的情况，人们已经得到了其上全纯自映射收敛的一系列结果。
- In this paper,the complete conjugte properties about the upper and lower exponents for mutual conjugate convex function on linear spaces are obtained. 在一般线性空间上，给出凸函数的上、下指数的定义，并建立了共轭凸函数的指数共轭关系.
- The paper uses the Convex Function to form the order Statistics and the Linear Rank Statistics, and prove the asymptotic normality of the statistics. 摘要本文用凸函数构造了线性次序统计量和线性秩统计量，并证明了它们的渐近正态性。
- The author probes into the important application of convex function in proving inequalities,popularizes and proves some inequalities,and obtains some new results. 探讨了凸函数在不等式证明中的重要应用,推广并证明了一些不等式,得到了新的结果。
- 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. 结果表明，根据特定应用，恰当选取凸函数，可令准熵获得比熵更好的性能。
- As applications of majorizing inequality of convex function of several variables, some majorizing inequalities of eigenvalue and singular value of matrix are obtained. 作为多元凸函数的控制不等式在矩阵方面的初步应用,获得了矩阵特征值和奇异值的简洁的控制不等式。
- strong pseudo-invariant convex function 强伪不变凸函数
- In the case of K=1,the results in this section included all results of strong convexity and strong smoothness in locally convex spaces. 本章中得到的结果在k = 1的情形下完全包含了关于局部凸空间一致凸与一致光滑的全部结果。
- strong quasi-invariant convex function 强拟不变凸函数
- Weak Convex and Strong Convex Fuzzy Mappings 弱凸和强凸模糊映射
- Alternative characterization of concave and convex functions which is sometimes useful. 对于凹函数和凸函数还有一个替补的表征，有时它是有用的。
- The boat heeled over in a strong wind. 船在强风吹袭下倾侧了。
- 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. 在函数凹凸和严格凹凸的条件下 ,文章引出并证明了高阶Cauchy中值定理和高阶Lagrange中值定理的 4个逆命题。
