函數的微分法 的英文怎麼說
中文拼音 [hánshǔdewéifēnfǎ]
函數的微分法
英文
differentiation of a 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
- 分 : 分Ⅰ名詞1. (成分) component 2. (職責和權利的限度) what is within one's duty or rights Ⅱ同 「份」Ⅲ動詞[書面語] (料想) judge
- 法 : Ⅰ名詞1 (由國家制定或認可的行為規則的總稱) law 2 (方法; 方式) way; method; mode; means 3 (標...
- 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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According to different features of conclusion about middle value questions in differential calculus, four kinds of methods about the auxiliary function structures will be concluded
針對微分中值問題的結論的不同特徵,本文歸納出了輔助函數的四種構造方法。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。The elastic foundation model is considered as two - parameter elastic foundation model and its effect to moderate - thick plates are taken into account by a set of governing differential equations. united with hu hai - chang ’ s function, least squares collocation weighted residual method which uses b - spline function as trial function is put forward for solving the bending problems. compare with the results of finite element method of lines, spline finite strip method, accurate solution of series etc. it is proved that the method in this article has adequate accuracy and practical feasibility
本文採用瑞斯納中厚板理論求解彈性地基板,建立雙參數地基與中厚板相互作用的控制微分方程,結合胡海昌的解耦函數,運用雙五次b樣條函數作為試函數的離散型最小二乘加權殘值法分析了雙參數地基上的中厚板的彎曲問題,並將結果與有限元線法、有限條法、級數精確解等進行比較,證明本文方法具有足夠的精確性與實際的可行性。This paper focuses on the research of the stress mechanism of the ribbed shell structure in statics, dynamics and under the explosive load on the basis of the engineering practice of cave depot of single aircraft. in this paper, according to the classical shell theories, the basic differential equilibrium of the ribbed shell structure and the finite element analysis of 3d rippled plate are established, in which the function of annular ribs reinforcement bars and 3d ripped steel plates are distributed in the range of the steel, and the functions along the longitude direction of tension, bending, and torsion are neglected ; applied with dynamic analytical theory, the dynamic model of ribbed shell structure and the analytical theory model of elastic - plastic are set up ; the triangle series method is used to solve the displacement and stress under the distributed load and the concentrated load of the ribbed shell structure
本文以軍用機場地面單機掩蔽庫工程建設為工程背景,首次對內襯三維波紋鋼板混凝土拱型復合結構的受力機理進行了靜力、動力和爆炸荷載的分析研究。根據將橫肋、鋼筋及三維波紋鋼板的作用均勻分佈在殼體范圍內的情況,忽略橫肋、鋼筋及三維波紋鋼板沿殼體母線方向的抗拉、抗彎及其抗扭作用,首次推導出了內襯三維波紋鋼板混凝土殼體的微分平衡方程,建立了有限元計算模型,並採用三角函數法,求解了三維波紋鋼板混凝土拱型復合結構在分佈荷載和集中荷載作用下的位移響應和應力響應,並與普通殼體進行了比較。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。2. doppler frequency shifting and curve fitting differential methods for measuring velocity are analyzed and compared. the least - squares curve fitting methods based on power functions and orthogonal functions are analyzed and compared
2 .對測量速度的兩種方法,多普勒頻移法和曲線擬合微分法作了分析和比較;對以冪函數族和以正交函數族為基底的最小二乘曲線擬合法作了對比分析。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。Firstly by virtue of matrix differential algorithm to find the error expression of platform and than let the maximum error to be acted as the objective function, besides the parametric errors of each structure, position and posture of the platform were being arranged into the optimized variables as well
首先藉助矩陣微分法求出平臺誤差表達式,將最大誤差作為優化目標函數,除了各結構參數誤差外,還將平臺的位置和姿態列入優化變量。For example, the geometric effect and vignetting are simulated with the synthetic method in which they are modeled with ray tracing and then simulated with pixel - based processing. the effects of detector noise on imaging are simulated with the three - dimension model. the theory of pixel transfer function is extended and developed, and microscanned images of four patterns are simulated with good results
本文具有如下幾個突出特點:用光線追跡法分析建模,而用基於象素處理的綜合方法,模擬了光學系統中的幾何效應和漸暈現象;利用三維噪聲模型,模擬了探測器噪聲對圖像質量的影響;對象素傳遞函數理論進行了擴展和延伸,給出四種工作模式的微掃描成像系統的象素傳遞函數的具體數學表達式,並利用這些表達式模擬了探測器的空間效應和微掃描成像的圖像效果。A dynamic interaction schematic of an end bearing or elastic bearing pile with arbitrary force at pile top is founded. by using helmholtz resolution and the operator decomposition method, biot ' s equations governing motions of a porous solid saturated with interstitial fluid are decoupled
建立飽和土中端承樁和摩擦樁在任意激振力作用下的理論模型,利用位移勢函數及微分運算元分解方法,得到飽和土層biot動力固結方程的分離變量解。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Using the difference method and quasi - linearization method, the nonlinear differential equations, which include ten basic unknown functions in all, are reduced to a sequence of quasi - linear differential equations, which can be solved by the method of discrete orthogonalization
採用差分及準線性化方法,將含有10個基本未知函數的偏微分方程組,變換成能用離散正交法編程求解的準線性微分方程組。By using conditional moment generating functions and differentiation of measures on a net, some limit theorems and a class of deviation theorems of multivariate function sequences of arbitrary random variables ralated to the conditional expectations are obtained
本論文利用條件矩母函數和網微分法,得到任意隨機變量多元函數序列相對于條件期望的偏差定理和極限定理。Professor liu wen, who first invented analysis method in solving large number theorem, connected it with moment generating functions, conditional moment generating functions and differentiation of measures on a net, and some strong limit theorems are obtained. this paper continue to study and expand these results
劉文教授在解決大數定律中把首創的分析方法和矩母函數、條件矩母函數以及測度的網微分法結合起來,得出一系列極限結果,本論文繼續並拓廣這方面的研究。In chapter two, under non - lipschitz condition, the existence and uniqueness of the solution of the second kind of bsde is researched, based on it, the stability of the solution is proved ; in chapter three, under non - lipschitz condition, the comparison theorem of the solution of the second kind of bsde is proved and using the monotone iterative technique, the existence of minimal and maximal solution is constructively proved ; in chapter four, on the base of above results, we get some results of the second kind of bsde which partly decouple with sde ( fbsde ), which include that the solution of the bsde is continuous in the initial value of sde and the application to optimal control and dynamic programming. at the end of this section, the character of the corresponding utility function has been discussed, e. g monotonicity, concavity and risk aversion ; in chapter 5, for the first land of bsde, using the monotone iterative technique, the existence of minimal and maximal solution is proved and other characters and applications to utility function are studied
首先,第二章在非lipschitz條件下,研究了第二類方程的解的存在唯一性問題,在此基礎上,又證明了解的穩定性;第三章在非lipschitz條件下,證明了第二類bsde解的比較定理,並在此基礎上,利用單調迭代的方法,構造性證明了最大、最小解的存在性;第四章在以上的一些理論基礎之上,得到了相應的與第二類倒向隨機微分方程耦合的正倒向隨機微分方程系統的一些結果,主要包括倒向隨機微分方程的解關于正向隨機微分方程的初值是具有連續性的,得到了最優控制和動態規劃的一些結果,在這一章的最後還討論了相應的效用函數的性質,如,效用函數的單調性、凹性以及風險規避性等;第五章,針對第一類倒向隨機微分方程,運用單調迭代方法,證明了最大和最小解的存在性,並研究了解的其它性質及在效用函數上的應用。To solve it, the differential equation set is transformed by fourier transform and the dynamic differential equation in the form of matrix is educed. the calculation formulas of frequency response function of vehicle vibrating system, acceleration power spectrum density function are put forward
用分析力學法建立整車動力學模型,推導出以矩陣形式表示的運動微分方程,並通過傅氏變換給出汽車動力學系統的頻率響應函數、加速度功率譜密度函數的計算公式。The system is on the basis of fourier optics. by using knife edge as object, cmos sensor as device for image reception, we get edge spread function from the image histogram and use differential operation and fft to achieve mtf of the lens, then its image quality is obtained
本系統以傅立葉光學為依據,以刀口為目標物,以cmos為圖像接收器件,採用獨特的演算法,從刀口圖像的灰度直方圖中獲得其刀口邊緣函數,經微分和fft運算,得到待測鏡頭的mtf ,從而得知其成像品質。A structural method of auxiliary function in proving differential mean value
微分中值問題證明中輔助函數的積分構造法The problem of contsruction method for auxiliary function of differential mean theorem
微分中值問題中輔助函數的構造法及其應用A new perturbation method for calculating pair correlation function of simple liquids and their mixture
求解簡單液體徑向分佈函數的微擾方法分享友人