cauchy integral 中文意思是什麼
cauchy integral
解釋
柯西積分-
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 -
1823, cauchy defined integral the " limit of sum ", he then gave the structural definition of definite integral for continuous functions
把定積分定義為「和的極限』始於cauchy1823年的工作，他對連續函數給出了定積分的構造性定義。 -
The stability of cauchy singular integral when the integral curve has a smooth perturbation is discussed in our first partition ; we apply some results of the first partition to the second partition and solve the stability of the solution to the cauchy singular integral equation. finally, on the basis of the stability of the cauchy type integral, we study the stability of the solution to the riemann boundary value problem when the contour perturbs smoothly
在第一部分中，我們主要討論了cauchy奇異積分在積分曲線發生光滑擾動時的穩定性問題；而在第二部分中，我們把第一部分的結果應用到cauchy奇異積分方程，導出了其關于積分曲線攝動的穩定性的研究及其一些結果；最後，在第三部分中，我們在研究cauchy型積分關于積分曲線的穩定性問題的基礎上，探討了riemann邊值問題的穩定性問題。 -
Using riemann - schwarz ' s symmetry principle of complex functions, the above problems are transformed into riemann - hilbert boundary problems. by combining the analysis of singularity of complex functions, generalized liouville ' s theorem, cauchy model integral and residue theorem, the general solutions of above problems are presented
創造性運用復變函數解析延拓原理，將上述問題轉化為riemann - hilbert邊值問題，結合復應力函數奇性主部分析方法、廣義liouville定理、 cauchy型積分和留數定理，獲得了上述問題的一般解答。 -
A new analytical method for the plane elastic or thermoelastic problem on complex multiply connected region based upon the complex potential theory of elastic mechanics built by muskhelishvili. n. i. by combining the theory of sectionally holomorphic function, cauchy model integral, the analysis of the singularity of complex function and riemann boundary problem, the analysis relation between the complex potentials is obtained, and then the problem is transformed into solving an elementary complex potentials equation
I彈性力學復勢理論的基礎上提出一種處理復雜多連通域平面彈性與熱彈性問題新的分析方法，將復變函數的分區全純函數理論，復勢奇性分析， riemann邊值問題與cauchy型積分相結合，求得各分區復勢的解析關系，將問題歸結為一個初等復勢函數方程的求解。 -
Cauchy integral formula
柯西積分公式 -
Some problems on the solution of the singular integral equations with both cauchy kernel and convolution kernels
核和卷積核混合的奇異積分方程求解方法的研究問題 -
The main work and achievements are summarized as follows : according to the spectrum analysis theory, the simple formula of the power spectrum between the excitation and the response is obtained. then the time - domain statistical properties of the structural response are acquired through fourier inverse transform, and cauchy ' s residue theorem is applied to solving the integral of fourier inverse transform, the structural dynamic reliability is calculated in terms of possion hypothesis based on first passage failure
主要研究內容如下：從譜分析理論出發，得到了激勵與響應功率譜之間的簡明關系式，由fourier逆變換得到響應的時域特徵，利用cauchy留數理論處理fourier逆變換的積分式，基於首超破壞的possion假設計算結構系統的動力可靠性，並在此基礎上進行結構優化設計，奠定了確定性模型的基礎。 -
Cauchy integral theorem
柯錫分定理
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