contraction principle 中文意思是什麼

contraction principle 解釋
收縮法則
  • contraction : n 1 縮短，收縮；【醫學】攣縮。2 （開支等）縮減；收斂，狹窄；縮度。3 【語法】縮略〈如將 never 略成...
  • principle : n. 1. 原理，原則。2. 主義；政策；〈常 pl. 〉道義；節操。3. 本質，本體，根源；本原，源泉。4. 本性，本能；天然的性能；天賦的才能；動因，素因。5. 【化學】素，要素；精。
  1. 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
  2. There are 3 characteristics difference form other thesis : the first is quoting many practical examples and demonstrations ; the second is giving emphasis to the problems in the management behavior, and the third is posing some new ideas : establish economy incentive system alluding to the principle of the efficiencies and justice ", the transition of entrepreneur market contraction incentive system from " administrator " to " economist ", and make the incentive system push on

    本文同其它研究國有企業管理的文章相比有以下幾個特點：一是注重引用實證材料，突出實證分析；二是突出對管理行為本身問題的分析，而不是單純地剖析管理過程中的問題：三是提出了一些有新意的觀點，諸如按照效率優先兼顧公平原則建立新的經濟激勵機制，確立由「行政人」向「經濟人」轉變的企業家市場化的激勵機制，使激勵機制向著市場化和法制化的方向推進。
  3. In the third chapter, we will study the existence and uniqueness of the classical global solution and generalized global solution to the periodic boundary value problem and the cauchy problem for this kind of equation. in the second chapter, we study the following nonlinear wave equation of higher order : with the initial boundary value conditions or with where a1, a2, a3 > 0 are constants, ( s ), f ( s0, s1, s2 s3, s4 ) are given nonlin - ear functions, u0 ( x ) and, u1 ( x ) are given initial functions. for this purpose, by green ' s function of a boundary value problem for a fourth order ordinary differential equation we first reduce the problem ( 1 ) - ( 3 ) to an equivalent intergral equation, then making use of the contraction mapping principle we prove the existence and uniqueness of the local classical solution for the intergral equation

    本文分三章，第一章為引言；第二章研究一類非線性高階波動方程的初邊值問題的整體古典解的存在性和唯一性，以及古典解的爆破；第三章研究此方程的周期邊界問題和cauchy問題的整體廣義解和整體古典解的存在性和唯一性，具體情況如下：在第二章中，我們研究一類非線性高階波動方程的如下初邊值問題：或或其中a _ 1 ， a _ 2 ， a _ 3 0為常數， （ s ） ， （ s _ 0 ， s _ 1 ， s _ 2 ， s _ 3 ， s _ 4 ， ）為已知的非線性函數， u _ 0 （ x ） ， u _ 1 ， （ x ）為已知的初始函數，為此，我們先用四階常微分方程邊值問題的green函數把上述問題轉化為等價的積分方程，然後利用壓縮映射原理證明此積分方程局部古典解的存在性和唯一性，又用解的延拓法證明上述問題整體古典解的存在性和唯一性，主要結果有：定理1設u _ 0 （ x ） ， u _ 1 （ x ） c ~ 4 [ 0 ， 1 ]且滿足邊界條件（ 2 ） ，若以下條件滿足：其中a ， b月0為常數， w
  4. The molecule structures of cell membrane and muscle cell ; the principle of muscle contraction

    細胞膜和肌細胞的分子結構；肌肉收縮的原理。
  5. Contraction principle and its applications on performance analysis of communication networks

    收縮原理在通信網性能分析中的應用
  6. In 1860, schrodinger first put forward the concept " schrodinger equations " in quantum mechanics and since then, the study on schrodinger equations has never stopped, for the mathematical description of many physical phenomena belongs to the field of schrodinger equations, such as nonlinear optic, plasma physics, fluid mechanics etc. as for the form of schrodinger equations, linear schrodinger equations was gradually replaced by nonlinear schrodinger equations ; as for the methods of solving schrodinger equations, the modulus estimate of energy, the principle of contraction mapping, fourier transformation and harmonic analysis are used ; as for the space of the solutions, many people have worked on the problem in bounded domain, euclidean space of dimension n, periodic bounded conditions and mixed regions and they also combined it with the generalization from low dimension to high dimension

    ） dinger方程，如非線性光學、等離子物理、流體力學[ 21 ]等；在方程形式上，從線性schr （ ? ） dinger方程到非線性schr （ ? ） dinger方程；在處理方法上，用能量模估計、壓縮映象原理和fourier變換調和分析等；在方程解空間上，研究有界區域、 n維歐氏空間、周期性有界區域和混合區域等，並且結合從低維向高維推廣。
  7. We, in chapter 4, comprehensively discuss the dynamics of discrete chaotic neural networks, including f the existence of fixed points, the stable, unstable dynamics of the fixed point, the saddle - node and period doubling bifurcations in singie neuron model, and chaotic dynamics of the networks. the proofs and de - ductions involve schauder fixed point principle, constructions of lyapunov func - tions, bifurcation theory, contraction map principle, and anti - integrable limit method

    在本文的第四章中，我們首先介紹了離散混飩神經元、神經網路模型由來與具體的數學模型，依次給出了該離散神經網路的中不動點存在性與惟一性的分析：穩定性與不穩定性的分析；神經元模型的分枝分析；神經網路中馬羅陀意義下混3屯動力學的分析
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