第一變分方程 的英文怎麼說

中文拼音 [dìyībiànfēnfāngchéng]
第一變分方程 英文
equation of first variation
  • 第 : Ⅰ助詞（用在整數的數詞前 表示次序） auxiliary word for ordinal numbers Ⅱ名詞1 [書面語] （科第） gr...
  • 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
  • 方 : Ⅰ名詞1 （方形; 方體） square 2 [數學] （乘方） involution; power 3 （方向） direction 4 （方面） ...
  • 程 : 名詞1 （規章; 法式） rule; regulation 2 （進度; 程序） order; procedure 3 （路途; 一段路） journe...
  • 第一 : first; primary; foremost; first and foremost
  1. Connexion of first integrals with particular solution to the variational equations for birkhoffian systems

    系統的第一積分與其變分方程特解的聯系
  2. In the second section of chapter 2, the fact that the essential interest rates of all nodes differ from each other is discussed, a non - homogeneous differential equation model of interest rate - amount of circulating fund is established, and it is proved that the sum of the weighted interest rates of each node in the financial network still remains a constant and that the difference of the instant interest rates between two nodes will finally approach the difference between their basic interest rates. in the third section of chapter 2, the differential equation model of interest rate - amount of circulating fund in an open system is studied, the laws of changes of interest rate are taken into account when fund is injected into or withdrawn from the node or when fund is injected into the network or withdrawn from the network, and the stability of equilibrium solution is proved based upon lyapunov stability theory. in the last, the equation model of interest rate - amount of circulating fund in the financial network with time delay is studied, and a necessary and sufficient condition for the existence of periodic solution is obtained to the interest rate - amount of circulating fund equation with delay

    本文第二章首先建立了封閉系統的利率?流通量微分方程模型，證明了各結點利率加權和為常數即金融市場利率均衡原理，以及各結點利率極限為整個網路平均利率；其次在各結點基本利率不相同的情況下，建立了非齊次利率?流通量微分方程模型，證明了金融網路各結點利率加權和仍是一個常數，並證明了各結點兩兩之間的即時利率之差最終將穩定地趨于其基本利率差；此外，還研究了開放金融網路利率?流通量方程模型，考慮了結點自身追加資金和提走資金的情形以及網路外部注入資金和向外部轉移資金情形下的利率變化規律，用lyapunov穩定性理論證明了模型均衡解的穩定性；最後，還研究了具有時滯的金融網路利率?流通量方程模型，並給出了具有時滯金融網路的利率流通量方程具有周期解的充要條件。
  3. In the second part, when a four - dimensional smooth system has two distinct pairs of purely imaginvalues at the equilibrium y = 0, the 5 - order normal form is given

    第二部分，通過復變量替換和比較系數，在平衡點y = 0處，當特徵根為兩對純虛根時，本文給出了一般的四維非線性微分方程的直到五次的規范形具體形式。
  4. The fuel cells models are presented in chapter 3. based on the balance conditions in fuel cells stack, the dynamic performance is analyzed. the dynamic model is developed with a set of correlation equations of voltage, fuel utilization, current density and other variables involved in the operating course, which are some partial differential equations with variable coefficients

    第三章以熔融碳酸鹽燃料電池為例，以數值分析的方法，根據mcfc電堆發電過程中物質與電量平衡，分析了電堆的內部動態特性，就輸出電壓與燃料氣體利用率和電流密度等相關量建立了由一組變系數偏微分方程和積分方程描述的數學模型。
  5. In this dissertation, the numerical computation for the acoustic radiation problem ( arp ) is studied deeply and systematically in the theory, method and the application technique, based on analyzing the situation of the home and abroad on the numerical computation for the acoustic radiation problem. the calculation formulas of the boundary element method ( bem ) for the exterior acoustic radiation problem in the full - space and half - space are deduced, based on the wave propagation theorem ; the arising of the non - unique solutions, which is associated with the application of the boundary integral equation ( bie ) in acoustic radiation problem, is analyzed and proofed ; the improved combined helmholtz integral equation formulation ( ichief ) is presented to overcome the non - uniqueness problem more effectively and reliably ; the determination of the singular integral coefficients on various occasions is analyzed ; the properties and treatments of the singular integrals with different orders axe studied ; the computation program of the cubic spline ichief is developed and its ability to overcome the non - uniqueness problem and feasibility to discrete the surface coarsely with the sufficient calculation precision are examined through examples

    第二章在聲波動理論基礎上，詳細地推導出對應于無限域和半無限域的外部振動聲輻射問題的邊界積分方程計算公式；根據fredholm積分理論，對利用邊界積分方程計算振動聲輻射問題過程中解的非唯一性的產生進行了分析和證明；改進了chief法以提高其克服解的非唯一性的有效性和可靠性；對不同條件下奇性系數的計算、強奇性積分的收斂性及其在變量替換時與普通積分的差異性、不同階奇性積分的計算、數值求積分等進行了研究；開發了三次樣條改進chief法計算軟體，並通過算例考核了該方法在特徵波數處克服解的非唯一性的有效性和在保證計算精度的前提下實現剖分粗化以提高計算效率的可行性。
  6. This paper is consisted of two major parts : one deals with the general working performance of the fmghp by setting up mathematic model and developing computer procedure, getting the datum related to the capillary flow and heat transfer, analysing the working characteristics of fmghp in different working temperature, heat flux and inclination angle etc. in this part, the prediction of capillary and boiling limit are also included. the other major part studies the flow and heat transfer characteristics in the micro - film region formed by the meniscus attached on the metalic fin in the micro rectangular groove. investigations on the influence of width of groove and other factors on heat transfer in this region have been made. the importance of this micro - region in the heat transfer of the entire heat pipe has been unveiled. the heat transfer characteristics gotten by this research could be used in design and application and also optimization of this kind of fmghp

    本文在大量查閱現有國內外文獻的基礎上，總結並綜合前人有關微槽平板熱管理論研究方面的成果，對單面刻有槽道的微槽平板熱管進行了較為深入和細致的研究。本文的研究共分兩大部分，其中第一部分考察了該型熱管的整體工作表現，通過建立數學模型和開發相應的計算程序，得到了熱管內部毛細流動和傳熱的數據，分析了熱管在不同工作傾角、不同加熱熱流以及不同工作溫度等情況下工作特性的變化規律，考察了汽液界面上的剪切作用對熱管傳熱量的影響，並且進一步在理論上預測了該型熱管的毛細和沸騰極限。
  7. The main work includes : for the torsional vibrations of a rigid disk on saturated media, first, the dynamic governing equations are solved by the use of hankel transform and the general solutions in the hankel transform fields are formulated. then, considering the mixed boundary - value condition, the dual integral equations of the torsional vibrations of a rigid disk on saturated grounds are obtained, which can be reduced to the fredholm integral equations of the second kind and solved by numerical procedures. consequently, the dynamic compliance coefficient curves and the torsional angle amplitude curves versus the dimensionless frequency are presented and contrasted to that of the elastic one

    在前人研究的基礎上，本文基於陳龍珠等曾提出的一組實用飽和土波動方程，用解析或半解析的方法首次較系統而深入地研究了飽和半空間地基與基礎的扭轉振動問題，主要工作有：對于飽和地基上剛性圓板的扭轉振動，作者首先採用hankel變換求解了動力控制方程，得到了該控制方程在hankel變換域內的通解，然後由混合邊值條件建立了飽和地基上剛性基礎扭轉振動時的對偶積分方程，並將其化為易於數值求解的第二類fredholm積分方程，用數值方法計算了基礎的動柔度和扭轉角幅值與振動頻率的關系曲線，並將其與單相彈性介質情況進行了對比分析。
  8. And through the analysis of group differences reflected, on the social network, by the work force in different groups with different professional role in the present rural area, this research gives the prophecy of the evolving tendency of the social supporting network of the work force in the rural area in china. the thesis is divided into four parts : the first part expatiates the focus of attention, purpose, significance, innovation, feasibility, research idea and research methodology of the paper. the second part, through the five aspects of the scale of the social supporting network, relation constitution, compactness degree, convergence and diversity, describes and analyses the general character of the social supporting network of the work force of the rural area, and roots out that the social supporting network of work force in rural area in china is in the process of slow and gradual transform

    全文共分四大部分：第一部分，闡述本研究的出發點、目的、意義、創新性、可行性、研究思路以及研究方法；第二部分，從社會支持網的規模、關系構成、緊密程度、趨同性、異質性等五個方面，描述和分析了農村勞動人口社會支持網的一般特徵，發現當前我國農村勞動人口社會支持網，正處于較緩慢的漸進的變革過程中，傳統農民的社會支持網已經開始呈現出一定的多樣性和豐富性的特點；第三部分，通過控制職業角色分化因素，對不同職業角色群體勞動人口的社會支持網進行差異性分析，發現較之農業勞動者群體而言，工商業勞動者群體的社會支持網更為復雜與多樣，其社會效用也更大；第四部分，在概括本文研究結論的基礎上，預測農村勞動人口社會支持網的發展趨勢，明確現代社會網的創新方向。
  9. There are three parts in the text in the first part, the course and achievement of nie rong - zhen ' s leading science and technology of national defense are described. the author expounds them in two aspects : one is from the transforming of nie rong - zhen ' s world outlook, the other is from his work quality. in the second part, the author interprets the experiences and lessons, ideas and practice, measures and ways on nie rong - zhen ' s guiding chinese science and technology of national defense in the view of philosophy

    在正文分三個部分：第一部分首先講述了聶榮臻領導國防科技事業的歷程和成就，分別從他的世界觀的轉變和工作性質的轉換為基礎展開論述；第二部分把聶帥指導新中國國防科技事業的經驗和教訓、思想和實踐、措施和做法分4個大的方面從哲學的角度予以闡述。
  10. The first part makes general statement of the basical issues of the assignment of credit, such as the conception, the characteristic, civil theoretical basis, entry - into - force essentials and its developing experience etc. it says that the assignment of credit is the act that the creditor transfers his right to the third party through contract and which takes legal effect of the mobiles of the ownership of the creditor ’ s right while never alter the content of the obligation

    文章主體共分為三部分。第一部分對債權讓與的概念與特徵、民法理論基礎、生效要件及其發展歷程等基本問題進行了概括描述。認為債權讓與是不改變債的內容，債權人以合同方式將債權轉讓于第三人並發生法律上債權權屬變動之效果的行為。
  11. 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。
  12. The paper can be divided into two partitions : in the first part the p / g network verification problem in the vlsi chip scope is probed. an algorithm is proposed which partition the global network into several sub networks. then it performs sub network compressing equivalent transform and calculates the final size - reduced linear equations

    本論文包括兩個部分，第一部分探討了vlsi晶元p g網驗證問題，提出基於網路劃分、子網等效壓縮變換的大規模線性方程組求解方法；第二部分探討了一個晶體管級宏單元自動版圖布線系統的有關理論問題，並實現了一個實用的處理宏單元版圖的自動布線系統。
  13. At the beginning of fourth chapter, the article transforms the solving problem of partial differential equation for the american put price into a standard initial and boundary value problem of parabolic type by making some transformations. afterwards, the solving problem of parabolic type is transformed into a initial value problem of ordinary differential equation with respect to through fourier transform again. at the last section of the fourth chapter, the article solves the initial value problem with the progressive euler method and the finite element method

    在第四章，對美式看跌期權價格所滿足的偏微分方程定解問題通過作一系列變換，使之轉化為一個標準的拋物型初、邊值問題，接著又通過傅里葉變換，把拋物型初、邊值問題轉換為一個關于時間變量的常微分方程初值問題，然後再分別利用改進的歐拉法和有限元法對其進行了求解。
  14. The second part, with the aid of many types constructive transformation and symbolic computation ( especially wu algebraic elemination method ), some topics in nonlinear evolution equation are studied, including exact solution ( solitary solution, periodic solution, rational function solutions and jacobian function solution ), backlund transformation, cole - hopf transformation, dromion solution and its construction etc. charter 2 introduces ac = bd model and its application about partial differential equations

    第二部分以構造性的變換及符號計算特別是（吳代數消元法）為工具，來研究非線性演化方程中的一些問題：精確解（如孤子解、周期解、有理解和雅可比橢圓函數解（雙周期解）等） 、 backlund變換、 hopf變換， dromion解及衰變結構等第二章介紹了求解pdes的ac = bd模式及其在偏微分方程中的作用。
  15. ( 1 ) based on two types of riccati equations, two kinds of new methods are proposed to obtain solutions of nonlinear differential equations. twelve families of exact solutions of wbk equation are found by using one of two methods ; ( 2 ) the homogeneous balance method is improved cind investigated to ( 2 + l ) - dimensional broer - kaup equation such that many families of new solutions are derived. ( 4 ) based on the isospectral lax pair of riccati form for generalized kdv equation with the force term, new darboux transformation and solitary - like wave solutions and rational solutions are obtained ; ( 4 ) by constructing darboux transformation and the superposition formula of generalized variable coefficients kdv equation with the force term, new single solitary - like wave solutions, double solitary - like wave solutions and rational solutions are found for ( 2 + l ) - dimensional generalized kp equation

    第二章和第三章考慮非線性偏微分方程的精確解的構造：首先給出了c - d對和c - d可積系統的基本理論，然後在第三章中具體研究了它們的應用： （ 1 ）基於兩種riccati方程，提出了兩種新的求解非線性微分方程更多解的方法，利用其中的一種方法，得到了wbk方程的12組精確解； （ 2 ）對齊次子衡法進行改進，以致於獲得了（ 2 + 1 ） -維broer - kaup方程的很多新解； （ 3 ）基於帶有外力項的廣義kdv方程的riccati形式的非等譜lax對，提出了該方程的一個新的darboux變換，利用該變換，得到了新的類孤波解和有理解； （ 4 ）通過構造了帶有外力項的變系數kdv方程的darboux變換及疊加原理，獲得（ 2 + 1 ） -維廣義kp方程的新的類單孤波解、雙類孤波解和有理解。
  16. Several examples and numerical simulations are shown to illustrate and reinforce our theory. in chapter 3, we firstly give both the definition of the discrete lyapunov functional and the proof of some properties of it for the dde with local positive or negative feedback in the delay term. secondly, we introduce the definition of the global attractor

    A6s藝fae藝在本文的第三章中，首先給出了對於一類時滯微分方程的用改變符號次數來定義的離散lyapunov泛函，並給出了其有關性質的理論證明，進而說明在時滯項具有局部正反饋或者局部負反饋條件下的時滯微分方程這樣定義lyapunov泛函的合理性，這是對前人在時滯項具有全局負反饋或者正反饋條件下的lyapunov泛函的推廣。
  17. However, linearization of the boussinesq equation 624 science in china : series d earth sciences allows the derivation of analytical solutions valid for specific cases. here we follow the methodology of brutsaert 20 22 to linearize the diffusion term in : 22cossin, hkpdhkhnttffxfx where p is the linearization constant taken to be 0. 5 usually and d l is the mean aquifer depth. the clas - sical separation of variables method for partial differ - ential equations is adopted to give the analytical solu - tion of eq

    對于方程2 ， brutsaert進行了如下的線性化處理20 22 22cossin ， hkpdhkhnttffxfx ? ? ? ? ? ? 3這里p是線性化常數一般取值為0 . 5 20 ， 21 ，而d l是整個潛水面的平均厚度的線性化參數，下面採用science in china ser . d earth sciences第4期? ?田向軍等:基於boussinesq - storage方程同時考慮水分儲存和入滲的地下徑流機制377的是偏微分方程理論中比較經典的分離變量法來給出以上這個經過線性化處理后的方程的解析解
  18. Besides, we show the method and result in the research of the heart rate variability. it is proved that the nonlinear analysis is much more effective in the clinical diagnoses of heart disease. by the end of this dissertation, we list some problems for our future works including chaos in discrete time ~ varying systems, srb measures of the chaotic map in the sense of marotto, complex dynamics of both h. h. model and cou - pled integrate - and - fire models, strange attractors in h6non systems with classical parameters

    在本文的第五章中，我們給出了一類一維時滯泛函微分方程穩定性的判別法，而這一方程本身可以用來刻畫連續的具有動態閾值的神經元模型；此外，我們介紹了非線性指標在心律變異中的具體應用與部分的分析結果，以進一步說明非線性分析在心律變異研究中的有效性和實用性
  19. The article is divided into four parts and discusses the problems about adaptability of financial supervision under new conditions from multiple angles. so far studying accomplishments on adaptability of financial supervision are rare and systemless, therefore firstly author interprets its concept and contents in part1. from fundamental sense, it can be defined as the adaptability and adjustability of financial supervision system of one country or area under some international and interior conditions, and from composing factors of financial supervision system, the comprehensive reflection of adaptability or harmony between supervisory objects, principles, models, measures, contents and financial surrounding

    當前有關金融監管適應性的研究成果不為多見，理論上也缺乏對金融監管適應性的系統論述，第一部分首先對金融監管適應性進行了必要的概念解釋和內容界定，筆者從一般意義上將「金融監管適應性」定義為，在一定的國際和國內金融經濟環境下，一個國家（或地區）的金融監管體系對金融環境的適應程度和應變能力，從金融監管體系的具體組成因素角度出發，則是特定時期的金融監管目標、原則、方式、手段及內容與金融環境適應性、協調性的綜合反映。
  20. The tree of this paper is as follows : in chapter 2, we study the uniformly asymptotic stability of the trivial solutions of a class of linear and nonlinear difference - differential equations with finite time - dependent delays. then, we deal with the existence, the uniqueness and the stability of periodic solutions and almost periodic solutions when the systems are under periodic perturbations and almost periodic perturbations

    本文內容具體安排如下：第二章，我們首先研究一類具有限變時滯的線性及非線性差分微分方程系統的零解的一致漸近穩定性，然後討論在周期擾動和概周期擾動下，相應系統的周期解和概周期解的存在唯一性及穩定性。
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