函數的凸性 的英文怎麼說
中文拼音 [hánshǔdetūxìng]
函數的凸性
英文
convexity of function- 函 : 名詞1. [書面語] (匣; 封套) case; envelope 2. (信件) letter 3. (姓氏) a surname
- 數 : 數副詞(屢次) frequently; repeatedly
- 的 : 4次方是 The fourth power of 2 is direction
- 凸 : Ⅰ動詞(高出) bulge; protrude Ⅱ形容詞(高於周圍) protruding; raised
- 性 : Ⅰ名詞1 (性格) nature; character; disposition 2 (性能; 性質) property; quality 3 (性別) sex ...
- 函數 : [數學] function函數計算機 function computer; 函數計算器 function calculator; 函數運算 functional operation
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Proving inequalities by the convexity or concavity of functions
用函數的凸凹性證明不等式Thereinto the concavity and convexity of functions is important condition in minimax theory
其中函數的凹凸性是極大極小定理的重要條件。Sometimes different combinations in the concavity and convexity of functions may construct a new theorem
函數凹凸性的不同組合往往可以構成一個新的極大極小定理。A minimax theorem generally involves three assumption conditions : space structures on sets x and y, the continuity of the functions and the concavity and convexity of functions
一個極大極小定理一般涉及三個假設條件:集合x和y的空間結構,函數的連續性和函數的凹凸性。Geometric convexity of gamma function
函數的幾何凸性Sufficient and necessary conditions of multiplicative convex functions
積性凸函數的充分必要條件Secondly we study the properties of moment generating functions of probability measures, calculate its sub - differential by the convex analysis, use it to characterize the quasi - symmetric probability
本文研究了概率測度的矩母函數的性質,用凸分析的方法算出了矩母函數的次微分,並用此完全刻畫了c . j . stone提出的擬對稱概率測度的性質。In this article, we give sufficient conditions for the existence of solutions to the vectorial hamilton - jacobi equations with dirichlet boundary condition : obtaining, in addition, an application to the theory of existence of minimizers for a class of non - convex variational problems
本文給出了一類依賴于自變量和未知函數的梯度的向量情況隱式偏微分方程的dirichlet問題的弱解的存在性的充分條件,並將該結果應用到一類非擬凸變分問題中去。In the higher mathematics category, routine methods to work out the proof of an inequation are a flexible use of mathematical knowledge like monotonicity of functions, extremum values, maximum and minimum values, convexity function, medium value theorem, taylor equation, holder inequation, schwarz inequation, and the analysis, formation and transformation of inequation problems as well
摘要在高等數學?疇中,靈活運用函數的單調性、極值、最值、凸性函數、以及中值定理與泰勒公式、赫爾德不等式、施瓦茲不等式等數學知識,對不等式問題進行分析、構造與轉化,是解決不等式的證明問題的常用方法。Generalized increasing - decreasing functions and generalized convexity of the compound functions
遞減函數與復合函數的廣義凸性A simple proof of the continuity of convex function
凸函數連續性的簡單證法A solution that minimizes the model function within the trust region is solved as a trial step
信賴域方法並不要求目標函數的二次模型凸性,在信賴域內求得迭代步使得二次模型最小。Under the different conditions of the constrained functions, dividing constrained sets properly, and under generalized ( f, ) convexity, the theorems of the weak duality, strong duality and strictly reverse duality are testified
依所給約束函數的不同條件來恰當劃分約束集,在廣義( f , )凸性下,證明了弱對偶定理、強對偶定理以及嚴格逆對偶定理。The mathematics experement on decision for function monotonicity and cancave - conves effects based on matlab
平臺上函數單調性與凹凸性判定的數學實驗Abstract : using the definitions of semi - locally star shaped set and generalized convexity for vector functions. we discuss the existence of efficient solutions for generalized multiobjective programming
文摘:本文利用1中的半局部星狀集和向量函數的廣義凸性,討論了一類廣義多目標規劃有效解的存在性。Quasiconvex functions and various generalized convexity of functions play important roles in mathematical programming
擬凸函數及函數的各種廣義凸性,在數學規劃中起著重要作用。Criteria were derived for functions to be quasiconvex under lower semicontinuity or upper semicontinuity conditions by mukherjee and yeddy ( ref. l ). in the first part of this paper, we generalized almost all of the results there
Mukherjee和yeddy在文獻[ 1 ]中,分別在函數的下半連續性和上半連續性的條件下,對于函數的各種擬凸性給出了一些判別方法。The results of the experiment show that the peak value, rms, standard deviation, crest factor, kurtosis value and impulse value of the vibration signals can distinguish between the normal and abnormal conditions of the ball bearing when the level of noise is low
常用包絡解調技術對此類信號進行分析,但易受噪聲影響,使得齒輪或滾動軸承的故障特徵難以凸顯。本文從研究相關函數的特性入手,經理論證明,發現自相關函數並不改變調制信號的調制特徵,但具有顯著的降噪特點。New properties of strictly prequasi - invex functions
嚴格預不變擬凸函數的新性質This property is independent with the convexity of the objective function and the line search used. therefore, the generated directions are descent directions of the objective function
這一個性質與目標函數的凸性以及線性搜索無關,因而,產生的搜索方向總是目標函數的下降方向。分享友人