uniqueness theorem 中文意思是什麼

uniqueness theorem 解釋
唯一性定理
  • uniqueness : （惟一性）選項組。利用該組參數，通過設置其下方的種子數值，可以在相同的參數設置下產生不同的隨機效果，以確保其隨機性。
  • theorem : n. 1. （能證明的）一般原理，公理，定律，法則。2. 【數學】定理。
  1. The global inverse function theorem is applied for the existence and uniqueness of periodical solutions to the semilinear boundary value problems. some results are improved

    摘要本文運用整體反函數理論證明了一類半線性方程邊值問題周期解的存在唯一性，推廣和改進了已有的一些結果。
  2. The uniqueness theorem of generalized quasi - analyticity of the infinitely differentiable functions in some closed angular domain is extehded to the functions of several complex variables

    摘要把無窮可微函數類在角形閉區域上的唯一性結果推廣到了多維情形。
  3. The equations of the mean value functions and the covariance functions are established for dynamical systems whose inputs are fuzzy stochastic processes. an existence and uniqueness theorem of ito fuzzy stochastic differential equations is proved, some explicit representations of solutions and the equations of statistical characteristics are deduced for linear fuzzy stochastic differential equations, and numerical methods to nonlinear fuzzy stochastic differential equations are proposed, the conditions for stability and observability of fuzzy linear systems are derived. the kalman filter algorithms of linear fuzzy stochastic systems are brought forward

    主要成果包括：提出了模糊隨機變量協方差和反向協方差的概念；研究了二階模糊隨機變量的均方收斂性，並在此基礎上得到了均方模糊隨機分析、平穩模糊隨機過程及其譜分解的若干定理；根據均方模糊隨機分析理論，得到了輸入為模糊隨機過程的線性系統的輸出輸入統計特徵關系方程；證明了ito型模糊隨機微分方程解的存在唯一性，並給出了ito型線性模糊隨機微分方程解的表達式，統計特徵方程以及非線性模糊隨機微分方程的數值解法；得到了模糊線性系統的穩定性和可觀性條件、線性模糊隨機系統統計特徵方程和線性模糊隨機系統的kalman濾波演算法；研究了當觀測值是模糊數據時，線性回歸模型的建立。
  4. An existence and uniqueness theorem of limit cycles for li 233 ; nard system

    極限環的一個存在唯一性定理
  5. We reduce the cauchy problem of equations ( 8 ), ( 9 ) to an equivalent integral equations by the fundamental solution of a second order partial differential equation. then using the contraction mapping principle and the extension theorem of the solution we prove the existence and uniqueness of the global generalized solutions and the existence and uniqness of the global classical solution

    先是通過一個二階偏微分方程的基本解，把imbq型方程組歸） ， p ）的初值問題轉化為等價的積分方程組，然後利用壓縮映射原理、解的延拓定理等證明了歸） ，問的初值問題的整體廣義解和整體古典解的存在唯一性
  6. 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。
  7. 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。
  8. By constructing the conditions consistent with its solution, and employing the theorem of the immobile point in functional analysis, it is proved that the existence and uniqueness of the local m - estimate with some conditions

    摘要通過構造解存在所滿足的條件及引入泛函分析中的不動點定理證明了穩健的變窗寬局部線性回歸估計在一定條件下解的存在性和唯一性。
  9. 2. by doing precise computation of spectral radius of linear operator of linear equation and by using measure of noncompactness and leray - schauder type fixed point theorem of condensing mapping, the existence and the uniqueness of the solutions are obtained, which extend the results recently achieved in this field

    二、通過線性方程解運算元譜半徑的論證，在緊型條件下利用凝聚映射的leray - schauder不動點定理及冪壓縮映射不動點定理，獲得了解的存在性與唯一性結果，這些結果推廣了近期這方面已有的一些結果。
  10. In this paper, we use the coupled fixed point theorem for mixed monotone condensing operators to obtain an existence, uniqueness and iterative approximation theorem of solutions of initial value problems for second order mixed monotone type of impulsive differential equations

    利用混合單調凝聚運算元的耦合不動點定理，給出了二階混合單調型脈沖微分方程的初值問題的解的存在唯一性及迭代逼近定理
  11. Existence and uniqueness are proved by lax - milgram theorem for a type of degenerate divergence elliptic equation in a type of sobolev spaces with weight, and also the regularity will be studied

    先用lax - milgram定理證明一類退化散度型橢圓型方程在帶權sobolev空間中弱解的存在唯一性，然後證明解的正則性。
  12. Some basic concepts and results are stated. in chapter 2, a kind of quasi - linear iterative equations has been discussed. existence, uniqueness and stability of the continuous solutions of the equation are proved by using fixed point theorem

    在本文的第二章中對一類擬線性迭代方程進行了討論，運用函數空間上的不動點定理給出了方程連續解的存在性，並進一步研究了解的唯一性和穩定性。
  13. A common fixed point theorem for compatible mappings of type ( a ) is proved and a application to the existence and uniqueness of solutions of system of functional equations in dynamic programming is given

    摘要證明了（ a ）型相容映射的一個公共不動點定理，並討論了起源於動態規劃的泛函方程組的解的存在性和唯一性。
  14. This thesis study the uniqueness theory of meromorphic functions. with the theory of nevanlinna ' s value distribution, the author analyze and study the unique problems about meromorphic function and its derivative or differential polynomial shared values, two meromorphic functions shared one value, the derivatives of meromorphic functions shared one value or small function, the derivatives of meromorphic functions shared one set. proved several uniqueness theorem, which generalized and improved the results of qiu gandi, brosch, yi hongxun, c. c. yang and wu guirong,

    作者應用nevanlinna值分佈理論，對函數與其導函數或微分多項式具有公共值，兩函數具有公共值，兩函數的導函數分擔公共值或小函數，以及分擔公共值集的唯一性等問題進行了分析和研究，得到了幾個唯一性定理，它們分別是邱? ? ， brosch ，儀洪勛，楊重駿，吳桂榮等人的有關結果的推廣和改進。
  15. This paper is concerned with uniqueness of positive solutions to three classes of two - point boundary value problems of ordinary differetial equations. the argument is based on the shooting methord together with the sturm ' s comparison theorem. the main results are as follows : 1

    本文運用打靶法及sturm比較定理討論了三類二階常微分方程兩點邊值問題正解的惟一性（如果存在） ，主要結果有：一
  16. The uniqueness theorem of limit cycle for a prey - predator system and its application

    一類捕食系統極限環惟一性定理及其應用
  17. We apply this condition and elementary properties of fourier series to prove a uniqueness theorem for periodic solutions of a class of second order nonlinear ordinary differential systems

    我們應用這個條件和傅立葉級數的基本性質證明了二階非線性常微系統周期解的唯一性定理。
  18. Abstract : in this paper, the maximum principles for fourth order nonlinear parabolic equations are proved. by using these maximum principles, the uniqueness theorem and gradient estimates for the solutions of some fourth order parabolic equations are obtained

    文摘:文中證明了四階非線性拋物方程的最大值原理，利用這些最大值原理獲得了一些四階拋物型方程的解的唯一性定理和解的梯度估計
  19. Assume that. in this paper, we will discuss the existence, the non - existence and the uniqueness of limit cycle system ( * ). the methods employed are poincare - bendixsion theorem, method of dulac function and zhang zhifen ' s uniqueness theorem. our main results are as follows : theorem 1

    對的情形，我們討論了系統（ * ）極限環的存在性、不存在性和唯一性。主要利用環域定理、 dulac函數法和張芷芬的唯一性定理等手法。
  20. In the third chapter, we derive a new family of deformed halley methods without the evaluation of the second frechet - derivative to approximate the roots of nondifferentiable equations in banach space. we also provided a existence - uniqueness theorem and a new system of recurrence relations

    在第三章中，構造了一族避免二階fre chet導數的修正halley迭代，用其去逼近banach空間中非線性運算元方程的解，同時給出了存在唯一性定理和一種新型的遞歸關系。
分享友人
分享到 Line

分享到臉書