convex function 中文意思是什麼
convex function
解釋
凸函數-
Analysis showed this might be due to the fact that a black hole passed in front of the star. the gravitation of a black hole can function as a convex lens and focus starlight, resulting in transience increase of apparent brightness of the star
分析顯示，這很可能是因為有一個黑洞在恆星前面經過，黑洞的引力會聚了星光，就像凸透鏡把光線聚焦一樣，使恆星的視亮度增加。 -
It is well known that wolfe type and mond - weir type duals are important duals in mathematical programming. professor xu ( ref. 35 ) firstly introduced a mixed type dual in multiobjective programming, which is more general and flexible than the above two duals. recently, it was pointed out that if a function is invex, then it is f - convex by ref. 37 and vice versa
我們知道，在所有的對偶規劃中， wolf型和mond - weir型對偶是兩類重要的對偶，而徐教授在文獻[ 35 ]中，又針對多目標規劃首次提出了混合型對偶的概念，它比以上提及的兩類重要對偶，更具一般性和靈活性。 -
Last we give criteria of uniform rotundity point and weak uniform rotundity point in musielak - orlicz sequence spaces in chapter 3. for musielak - orlicz function spaces case, we only give necessity and sufficient condition of the spaces are uniformly local convex since the case is very complex
本文在第三章，由於musielak - orlicz空間的復雜性，只給出了該空間局部一致凸的判別準則，本文給出了musielak - orlicz空間的一致凸點和弱一致凸點的判別準則。 -
This paper referred to the massive domestic and foreign technical material, elaborated in the sheet forming value simulation theory essential technology in detail, points out when analysis sheet forming question should use the big distortion ball plasticity fem and introduce the application characteristic and the function summarizes of the sheet forming simulation software dynaform. secondly, analyzed the cover forming characteristic, simultaneously introduced the influence cover forming factor in detail : such as ramming direction, the craft addendum surface and the material pressing surface, the radius of convex - concave mold, draw bead, pressure strength, blank size and craft margin and so on. and simulates many typical automobiles cover panel with software : such lateral board, back taillight pedestal and storage cover
其次，分析了覆蓋件成形的特點和要求，同時詳細介紹了影響覆蓋件成形的因素如沖壓方向、工藝補充面和壓料面、凸凹模圓角、拉延筋、壓邊力、坯料尺寸和工藝切口等，並用數值模擬軟體對多個典型的汽車覆蓋件汽車后側圍板、后燈座以及轎車后備箱蓋的沖壓成形情況進行模擬，用模擬結果優化拉延工藝方案，比較了內覆蓋件和外覆蓋件在成形特點和要求的一些異同點，以及常見的起皺、拉裂和回彈、成形不足等缺陷的產生機理和相應對策，重點介紹工藝補充面和壓料面的設計及優化方法，因為拉延是沖壓工藝的關鍵工序，而工藝補充面和壓料面的設計是拉延工序的關鍵，對消除缺陷至關重要。 -
Duality theorems of multiobjective programming for - arcwise convex function
弧式凸函數多目標規劃的對偶定理 -
This paper is concerned with, the existence and stability of travelling wave solutions for the viscous balance law which is an extension of viscous conservation law where a reaction term g ( u ) is added. l ) the existence of travelling wave solutions by geometric singular perturbation method, we investigate the existence of travelling waves ( a2 ) connecting a saddle point and a sink point and the existence of viscous shock waves c connecting two adjacent or disadjacent saddle points. by giving a detailed analysis of the fast and slow manifolds and verifying the transversality of the intersection of singular stable and unstable manifolds of the reduced problem along the singular heteroclinic orbit, we obtain the existence of travelling waves ( a2 ) in the case of a convex flow function / and that of viscous shock waves c under the assumption that f " is bounded
主要結果如下： 1 ）行波的存在性本文利用[ 37 ]中幾何奇異攝動理論，通過仔細分析= 0時的快流、慢流，驗證= 0時慢流方程的穩定與不穩定流形橫截相交於奇異異宿軌道，先在f為凸的條件下嚴格證明了（ ）存在連接不相鄰的鞍點、結點的行波（ a2 ） ；然後在地f有界的條件下得到（ ）存在連接鞍點（包括相鄰和不相鄰）的粘性沖擊波c ，彌補了[ 11 ]缺少嚴格證明的不足，並推廣了[ 11 ]在f為凸的條件下得到的粘性沖擊波的存在性結果。 -
A new convex filled function for global optimization
無約束全局優化的一個新凸填充函數 -
The maximal value point s problem of a convex function on a closed convex subset in locally convex space is considered by using the level set of function, - subdifferential and - normal cone. it gives several equivalent characters on the optimal solutions of the problem
利用函數的水平集， -次微分和-法向錐等工具研究局部凸空間的凸函數在閉凸子集上的最大值點問題，給出了最優解的幾個等價刻劃 -
The results show that the fiber with chromatic dispersion that is a convex function of wavelength in normal dispersion region is favorable for generating a flat sc spectrum
發現在光纖的正常色散區，色散曲線與波長的成凸型函數關系的色散特徵，有利於平坦光纖超連續譜的產生。 -
A simple proof of the continuity of convex function
凸函數連續性的簡單證法 -
In addition, by phase plane method we obtain the existence of travelling fronts ( al ) connecting two adjacent equilibria under the assumptions that f " is bounded and that of viscous shock waves c connecting two adjacent saddle points with / a convex function
另外，利用經典的相平面分析法，本文證明了（ ）在f有界時存在連接相鄰平衡點的波前（ a1 ）及在f為凸時存在連接相鄰鞍點的粘性沖擊波c 。 -
Some convex function inequalities transplanted into geometric convex functions
若干凸函數不等式在幾何凸函數中的移植 -
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，並指出每一種方法的適用類型、解決問題的關鍵和證明問題的具體步驟，最後結合實例說明方法的可用性。 -
The concept of the midpoint quasi - convex function is introduced, and some conditions are obtained to ensure that midpoint quasi - convex function is quasi - convex in the measurable function space
摘要本文提出了中點擬凸函數的概念，在可測函數空間中，給出了中點擬凸函數擬凸的若干個充分條件。 -
The applications of derivative on the right of convex function
函數右導數的應用 -
Another equivalent proposition on convex function
凸函數的又一等價命題 -
Some properties of the geometric convex function
幾何凸函數的幾個性質 -
On the monotonicity of sequences generated by geometric convex function
由幾何凸函數生成的序列的單調性 -
Studies on equivalence of the distribution reduction and the strictly convex function based reduction in decision tables
多元凸函數的連續性及可微性 -
Let f ( x ) and f ( x ) stand for the generalized gradients proposed by clarke and xu yihong respectively. three of generalized gradients are compared and the inclusion relation between them is so the set of the generalized gradient defined in this paper is smaller ; they coincide when / is a convex function or f is differentiable
文中對三類廣義梯度進行比較，若以和分別表示clarke和徐義紅定義的廣義梯度，三者之間的包含關系為即本文定義的廣義梯度集合較小；而當f為凸函數或f可微時，三者統一。
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