weak derivative 中文意思是什麼
weak derivative
解釋
弱微分- weak : adj 1 柔弱的；虛弱的，有病的。2 無力的，軟弱的；（根據等）不充分的，薄弱的。3 不中用的；愚鈍的；...
- derivative : adj. 導出的；派生的。n. 1. 派生物。2. 【語言學】派生詞。3. 【化學】衍生物。4. 【醫學】誘導法[劑]。5. 【數學】導數，紀數，微商。adv. -ly
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Section 3 and section 4 are the main parts of the paper. by employing the directional derivative and generalized gradient in the broad sense, as defined in this paper, the first order necessary condition and the first order sufficient condition of the single - objective non - smooth programming where the objective function is d - regular weak lipschitz function and constrained functions are regular weak lipschitz functions
第三節和第四節是本文的主要章節，以本文定義的廣義方向導數和廣義梯度為分析工具，對目標函數為d正則弱l函數，約束函數為正則弱l函數的單目標非光滑規劃分別給出了一階必要條件和一階充分條件。 -
Let / be a function from rn to r. following the definitions of the generalized gradients proposed by clarke and xu yihong, respectively, we define the d - regular weak lipschitz function and propose a new generalized gradient as follows where d _ f ( x ; d ) is the directional derivative of / in the direction d at the point x, namely some properties are proposed
第二節引入基本定義和記號，在clarke和徐義紅提出的各自的廣義梯度的基礎上，定義了一類d正則弱l函數，且提出了一個新的廣義梯度。設f ： r ~ n r ，其廣義梯度為其中為f在處沿方向d的方向導數，即並給出了若干性質定理。 -
Finally, in the third section, by constructing some functional which similar to the conservation law of evolution equation and the technical estimates, we prove that in the inviscid limit the solution of generalized derivative ginzburg - landau equation ( ggl equation ) converges to the solution of derivative nonlinear schrodinger equation correspondently in one - dimension ; the existence of global smooth solution for a class of generalized derivative ginzburg - landau equation are proved in two - dimension, in some special case, we prove that the solution of ggl equation converges to the weak solution of derivative nonlinear schrodinger equation ; in general case, by using some integral identities of solution for generalized ginzburg - landau equations with inhomogeneous boundary condition and the estimates for the l ~ ( 2 ) norm on boundary of normal derivative and h ~ ( 1 ) ' norm of solution, we prove the existence of global weak solution of the inhomogeneous boundary value problem for generalized ginzburg - landau equations
第三部分：在一維情形，我們考慮了一類帶導數項的ginzburg ? landau方程，通過構造一些類似於發展方程守恆律的泛函及巧妙的積分估計，證明了當粘性系數趨于零時， ginzburg ? landau方程的解逼近相應的帶導數項的schr （ ? ） dinger方程的解，並給出了最優收斂速度估計；在二維情形，我們證明了一類帶導數項的廣義ginzburg ? landau方程整體光滑解的存在性，以及在某種特殊情形下， gl方程的解趨近於相應的帶導數項的schr （ ? ） dinger方程的弱解；在一般情形下，我們討論了一類ginzburg ? landau方程的非齊次邊值問題，通過幾個積分恆等式，同時估計解的h ~ 1模及法向導數在邊界上的模，證明了整體弱解的存在性。 -
Theconvergence towards the weak solution is proved for one - dimensional space with initial and boundaryconditions by using some subtle techniques such as the estimate of spatial derivative, perturbationtheory and weak compactness
通過使用對空間導數的估計、弱緊性和奇異攝動理論證明了有限元方法的收斂性。 -
In the first chapter, we used the method of majoring sequences to studied the convergences of newton ' s methods of " reducing the counting of derivative " and " without inversing of derivative under weak conditions "
在第一章中，用優序列方法研究了減少導映照計值次數和避免導映照求逆的牛頓迭代在弱條件下的收斂性。
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