連續可微函數 的英文怎麼說

中文拼音 [liánxùkěwéihánshǔ]
連續可微函數 英文
continuously differentiable function
  • 連 : Ⅰ動詞1 （連接） link; join; connect 2 （連累） involve （in trouble）; implicate 3 [方言] （縫） ...
  • 續 : Ⅰ形容詞（連接不斷） continuous; successive Ⅱ動詞1 （接在原有的后頭） continue; extend; join 2 （...
  • 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
  • 連續 : continuation; succession; series; continuity; continuing; running; continuous; successive; contin...
  • 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
  1. Not all continuous functions are differentiable.

    不是所有的連續函數都是可微的。
  2. The influence of the cloud droplet spectrum character and the spectrum growth and change is considered, which does not use a cut - off value for conversion from cloud water into rain water process. in the continuous coalescence equation, the particles fall velocity difference is not moved out from the integral, but is integrated in the equation as the function of diameter d to avoid the error of using particles average fall velocity. in the new scheme, generation rate of graupel due to the collection of snow by graupel and the collection of cloud ice by graupel are included

    雲中凝結核ccn的數濃度採用超幾何函數表示；雲水向雨水的自動轉換過程採用grabowski （ 1999 ）的公式，考慮了雲滴譜的特徵和發展變化對該過程的影響，而不是採用原方案給定閾值的方法描述該過程；對連續碰並方程不再將粒子落速差作為常量提出積分號外，而是直接作為粒子直徑函數在積分號內求解，這樣處理可以迴避使用粒子群的平均落速帶來的誤差；增加了霰和雪、霰和冰晶的碰並微物理過程。
  3. Based on the " size " of the set of perturbed minimal points in the variational principle, the differentiability of lower semicontinuous functions is examined by means of approximation of the infconvolution sequence

    摘要通過函數的下卷積函數列的逼近方法，在變分原理中從擾動最小值點集的「大小」入手，研究了下半連續函數的可微性。
  4. The result can be used in control problems whether the time interval is finite or infinite, the control set is bounded or unbounded, and also for systems with a weak differentiable function, i. e., the function f is only strong continuously g - differentiable but not f - differentiable. so, th 6. 2. 7 is a uniform theory of optimal control, and it has wide - ranging applications

    可以看到，我們的結11摘要果可用於有限時域和無限時域、有界控制和無界控制、並且對系統中函數f的可微性要求也有較大的減弱? f對狀態變量x可以是僅有強連續的g一導數、不要求為f一可微。
  5. In chapter 2 there are four goals : the first is to investigate some geometric properties of h - caccioppoli sets, the second is to characterize the discontinuous set su and jump set ju of u bvh ( ), the third is to study pointwise behavior of u bvh ( ) and our effort is concentrated on showing approximate differentiability of u in the sense of pansu ' s, while the last and the most important is to show that dhu with u bvh ( ) as a radon measure can be split into three parts ( absolutely continuous part, jump part and cantor part, respectively ) just like the derivative of a bv function in the setting of euclidean space

    第二章有四個目標：一是討論h - caccioppoli集的若干幾何性質，二是刻畫h -有界變差函數的近似不連續點集和跳躍點集的特徵，三是研究u bv _ h （ ）的逐點行為，我們集中討論u在pansu意義下的近似可微性，最後也是最重要的目標我們證明對u bv _ h （ ） ， d _ hu作為radon測度能夠分解成絕對連續部分、跳躍部分和cantor部分之和。
  6. In order to find out a novel fuzzy inference algorithm being superior to cr1 algorithm and a novel fuzzy neural network, the author deduces nine kind of triple i algorithms by nine fuzzy operators. further more, the author compares these algorithms with the ordinary intuitional rules respectively and gives a conclusion that rl - type triple i algorithm is rather more closely to the intuitional rules. because fuzzy neural networks require the conditions of continuous and differential on membership functions of fuzzy sets and fuzzy operators of fuzzy inference, by means of comparison study, the author obtains a conclusion that the fuzzy neural networks with production operator and cr1 inference algorithm are very fit to study the problem of control

    為了找出優于cri演算法的模糊推理方法和新型模糊神經網路，本文首先對常用九種模糊運算元給出了具體三i演算法，並從模糊推理的另一個方面，考察了各種演算法對日常直觀模糊推理規則的貼近程度，得出「 r _ l型三i演算法貼近日常直觀推理規則」這一結論；同時，考慮到模糊神經網路要求「網路輸出保持對模糊運算元和隸屬函數連續性、可微性」這一特性，通過比較研究，得出利用乘積運算元和cri推理的模糊神經網路最適合控制問題。
  7. In the 3rd section we introduce how to use mathematical model to study financial problems, whose assets running on mixed jump - diffusion process, first we get the famous non - linear feynman - kac formula by fbsde, then let the solution of the bsde be a investor ' s utility function, and it ' s the so - called recurse utility function. second, we can prove that this utility function is a continue viscosity solution of the variation inequality which we get above, and we get the comparison theory. third we can use the result to financial market to study the optimal consumption and portfolio problem or evaluate the american option

    第三章介紹了利用金融資產價格運行基於復合跳躍? ?擴散過程的數理模型來研究金融經濟問題，通過結合運用正倒向隨機微分方程，推導得到著名的非線性feynman - - kac公式，並且將相應的倒向隨機微分方程的解記為投資者的值函數，這也就是通常所說的效用值函數；接著我們可以證明此效用值函數為某一偏微積分變差不等式的連續粘性解，並且得到了比較原則；這些結果可以應用到金融領域用於消費投資組合的選擇或是美式期權的估值。
  8. Through chaos optimization method embedded into the genetic algorithm. the algorithm with the combination the advantages of the genetic algorithm and chaos optimization method which need not the optimal problem function ' s differential and promote the ability of the genetic algorithm ' s locally meticulous search can be obtained with the faster convergence and the greater probability for the global solution. a chaotic sequence is inserted into the search procedure of genetic algorithm, which can overcome premature of the search by genetic algorithm and the speed of convergence is faster than standard genetic algorithm

    對遺傳演算法進行了理論分析，並且研究了遺傳演算法的設計與實現；利用混沌優化方法不依賴于梯度信息的性質，將其與遺傳演算法相結合，提出了一種求解連續不可微函數優化問題的混合遺傳演算法；基於對于符號動力系統的研究，利用混沌序列的遍歷性，將混沌序列引入遺傳演算法中，提出一種嵌入哈爾濱工程大學博土學位論文一混飩序列的遺傳演算法，該演算法有效地克服了標準遺傳演算法中的早熟現象，並且具有更快的收斂速度。 」
  9. Experimental results show that this method is highly effective and efficient, and moreover it has no requirements on the differentiability and continuity of the objective function, and consequently does not need to perform complex matrix calculations, so this method is suitable for applications in identification of nonlinear hydrodynamics of complex system

    結果表明，智能演算法簡單有效，對目標函數沒有可微性和連續性要求，避免了復雜的梯度矩陣計算，適合在復雜的非線性水動力系統辨識中應用。
  10. In chapter two, we consider the non - ruin probability. in section one. by adapting the techniques in [ 5 ], we obtain the integral expression of non - ruin probability in section two, firstly, we prove the twice continuous differentiability of non - ruin probability, then we obtain the integral - differential equation satisfied by ( u ) in section three, we introduce the auxiliary function e ( u ). as u = 0, gives 0

    類似於[ 5 ]中的方法得到不破產概率滿足的積分表達式在第二節中，首先證明了不破產概率的二次連續可微性，然後得到不破產概率滿足的積分-微分方程由於不破產概率零初值時的值不確定，我們在第三節中引入了輔助函數e _ （ u ） ，使得u 0時， e _ （ 0 ） 0 。
  11. In this paper, a class of algorithms which are update quasi - newton methods for unconstrained optimization as follows : this article consists, of three parts. the first part is the introduction of the quasi - newton methods for unconstrained optimization. the second part is the proof of the global and superlin - early convergence of the generalized - quasi - newton methods. the third part is quasi - newton - non - convex class methods and its global convergence. the main results of the second part are as follows : theorem of global convergence

    在第一章中，主要是根據焦寶聰提出的廣義擬牛頓演算法，對目標函數放寬了條件限制，結合goldstein線性搜索，對一般目標函數進行了收斂性的討論，其主要結果如下：全局收斂性定理若f （ x ）在r ~ n上二次連續可微，有下界，水平集。
  12. The theory of time scales was introduced by stefan hilger in his phd thesis ( [ 1 ] ) in 1988 ( supervised by bernd aulbach ), it has been created in order to unify continuous and discrete analysis. hilger found many results concerning differential equations had carried over quite easily to corresponding results for difference equations. then he defined the dynamic equation on time scales, i. e. the domain of the unknown function of the dynamic equations is a time scale

    時間模（ timescales ）最早是由德國w rzburg大學的hilgerstefan在1988年提出的，當時他在導師berndaulbach的指導下完成博士論文（ [ 1 ] ） ，其主要思想就是把連續分析與離散分析統一起來，他發現人們對微分方程研究后往往又對相應的差分方程進行研究，而一般情況下兩者又可得到相平行的結論，於是定義了時間模上的動力學方程，即方程的未知函數的定義域是一個時間模。
  13. There are many faults in the chaotic optimization algorithm. to solve these problems, a new method named " bisection - interpolation approach " is put forward. it has numerous advantages such as ergodicity, uniform distribution, not sensitive to the change of initial value, not sensitive to the defining range of variable, not requiring the continuation and not requiring differential of the optimized object

    該演算法和混飩一樣具有遍歷性的特點，且變量均勻分佈於定義域，對函數的定義域變化和初值的選定都不敏感，同樣也不需要函數連續、可微，對優化對象幾乎沒有特別要求，從而避兔混池優化演算法的缺點。
  14. 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
  15. Gradient methods of them are efficient, but have disadvantages of getting stuck in local minima, requiring gradients calculations, working only on continuous and differentiable parameters

    其中，共軛梯度法收斂速度較快，但要求目標函數可微、連續，而且優化參數數目有限;隨機搜索無需計算梯度，但是效率太低，而且容易陷入局部極值。
  16. He first discussed his example of a continuous nondifferentiable function.

    他首先討論了其連續不可微函數的例子。
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