convex analysis 中文意思是什麼
convex analysis
解釋
凸分析-
This paper analyses and explains several interferential images arising from autocollimation, and lays more emphasis on the analysis of the convex with identical property to a spherical reflector, introduces the relatios between reflection images and autocollimation images, and expounds how to form to judgment about interferential images
摘要對自準值法測量時出現的幾個干擾像進行分析、解釋，著重分析了凸透鏡也具有球面反射鏡的性質，導出反射像和自準值法成像的關系，及若何判斷干擾像。 -
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。 -
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。 -
R. t. rockafellar. convex analysis. princeton university press princeton
劉光中.凸分析與極值問題.高等教育出版社. 1991 -
For convenience of the reader, pertinent results from linear algebra and convex analysis are summarized in chapter two
為方便讀者，在第二章中總結了相關的線性代數和凸分析知識。 -
Following the introductory first chapter and the second chapter on linear algebra and convex analysis, the book is organized into two parts : linear programming and networks flows
在第一章簡介和第二章線性代數和凸分析之後，本書分為兩部分：線性規劃和網路流。 -
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。 -
The topics covered in this course include : unconstrained optimization methods, constrained optimization methods, convex analysis, lagrangian relaxation, nondifferentiable optimization, and applications in integer programming
這門課程的主題包括：無限制最適化方法，限制最適化方法，凸分析，拉格朗日鬆弛法，不可微分函數最適化，以及在整數規劃上的應用。 -
The analysis involves martingale theory, optimal stopping, stochastic control problem and convex analysis. as for the general incomplete financial market, the upper - and lower - hedging prices of arbitrage - free interval are obtained. the quisimartingales decomposition has been proved
藉助于鞅論，最優停時，隨機控制和凸分析等理論與方法，就一般的非完備金融市場，未定權益的估值得以研究，並且我們求出了上、下保值價格。 -
Certain topics which might properly not be regarded as part of “ convex analysis ”, such as fixed - point theorems, have been omitted, not because they lack charm or applications, but because they would have required technical developments somewhat outside the mainstream of the rest of the book
某些主題可能沒有被視為是"凸分析"的組成部分，例如省略了定點定理，並不是因為它們缺乏吸引力或應用，而是由於它們所需要的技術發展有點超出這本書的主流。 -
And then we found and testified two examples, in which the connections in n - variable mean fam - ily, countable mean family and continuous mean family are shown. the theory in this paper prepares for the further application in convex analysis, numerical approximation, cagd, probability and statistics. etc
文中還給出了連續平均族的兩個具體的實例，對這兩組平均族進行了證明，並找出了其中蘊含的連續平均族與可數平均族、 n元平均族之間的聯系等等 -
Theory of portfolio optimization is an important part of the modern ? nance in - vestment theories, which uses mathematical facilities such as convex analysis, random analysis, nonsmooth analysis, ( nonlinear ) programming etc, combined with the mean - variance method the basic method of modern portfolio theory. by setting up mathe - matical models, discussed the investment rules of ? nance market and o ? ered theoretic guide for investors
投資組合優化理論是現代金融投資理論的重要組成部分，它運用凸分析、隨機分析、非光滑優化、 （非）線性規劃等數學工具，並與現代投資組合理論的基本方法均值方差方法相結合，通過建立數學模型討論金融市場投資規律並為個人或機構投資者提供理論指導。 -
Topics covered include : randomized computation ; data structures ( hash tables, skip lists ) ; graph algorithms ( minimum spanning trees, shortest paths, minimum cuts ) ; geometric algorithms ( convex hulls, linear programming in fixed or arbitrary dimension ) ; approximate counting ; parallel algorithms ; online algorithms ; derandomization techniques ; and tools for probabilistic analysis of algorithms
主題包括?隨機計算、資料結構（雜湊表、省略串列） 、圖論演演算法（最小擴張樹，最短路徑，最少切割） 、幾何演演算法（凸殼、在固定或任意維度的線性規劃） 、近似計數、平行演演算法、線上演演算法、消去隨機技術，以及演演算法的機率分析工具。 -
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。 -
First, a simple model that a cyclinder with convex ring pulling in a tube is constructed using the ansys software, by computing and analysis of three different models, a general method can be get to resolve this sort of problems. then a complete projectile 2d model is established using autocad and converted to ansys through. sat data format, then a 3d solid model and finite element model is set up, and the properties are also defined in ansys. the next step is the dynamics analysis of the driver and body in the process
通過研究簡化模型? ?帶凸緣的柱體在圓筒中擠進過程，共對三個模型? ?二維擠進模型、凸緣在光膛圓筒中擠進的三維模型、凸緣在線膛圓筒中擠進的三維模型進行有限元分析，得到一個對此類問題的通用分析方法；然後，運用autocad建立實際彈丸的二維模型，通過sat介面程序導入ansys ，在ansys中進行前處理，包括生成彈丸實體、建立線膛實體、劃分網格，設定單元、材料、接觸的類型及其它參數，生成ls - dyna的 -
Throughout the following of this section, e denotes a real banach space and p is a cone in e. in chapter, a new three - solution theorem is obtained. moreover, the famous amann ' s and leggett - williams " three - solution theorems in nonlinear functional analysis can be seen as its special cases, namely they are united. so they are improved. the main results can be stated as the following : let d be a nonempty bounded close convex subset in e, and nonnegative continuous functional on d. and is concave while is convex. suppose 0 < d and denote
首先我們約定，在下文中， e是實banach空間， p是e中的錐。在第一章中，我們利用錐理論與不動點指數理論統一了著名的amann三解定理與leggett - williams三解定理。主要結論是：設d是e中的非空有界閉凸集， ，是d上的非負連續泛函，且是凹泛函，是凸泛函。 -
Based on nonsmooth analysis theory, the viability criterion is verified under the condition that the set - valued mapping in the right hand side is a polytope and the boundary function of the region is subdifferentiable and its subdifferential is a convex hull of finitely many points
當右端集值映射為多面體，邊界為次可微函數，且次微分為有限點集凸包時，基於非光滑分析理論，給出了在一點處檢驗生存性條件是否成立的方法。 -
The problem of robust stability analysis for convex polytopic uncertain discrete - time systems with multiple - state delays is investigated
摘要研究了具有多重狀態時滯的凸多面體不確定離散系統的魯棒穩定性分析問題。 -
Convex model in robust reliability analysis of structure
結構穩健可靠性分析的凸集模型 -
Alike with the convex modeling of uncertainties, the presented method requires less for available information than probabilistic method, thereby, which provided a possible choice for the reliability analysis and design of structures when available information is lack or limited
和不確定性的凸集模型描述一樣，所提方法對不確定參量已知數據的要求較低。且直觀、簡捷。從而為掌握數據信息較少時結構的可靠性評估提供了依據。
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