residue theorem 中文意思是什麼
residue theorem
解釋
殘數定理-
In theorem 3 of this chapter, we prove that homological properities and homological dimensions of residue ring play very important roles. the homological properities and homological dimension of coordinate ring have been studied in the thesis of doctor yang jing - hua. in the second chapter, we generalize the results of coordinate ring to power se - ries residue ring
楊靜化在其博士論文中對坐標環進行了同調刻畫。我們在楊靜化的博士論文基礎上，把坐標環的同調性質和同調維數的相關結論推廣到了冪級數剩餘類環上。 -
Summation to calculate a class infinite series by using residue theorem
應用留數定理計算一類級數求和問題 -
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。 -
Generalized residue theorem for vector - valued generalized m - analytic function and their applications
解析函數的廣義留數定理及其應用 -
Besides, the covariance of a single exponent function deduced according to residue theorem, which provides the correctness of the formula of zhou and hu
此外，還用留數定理推導了單指數函數的時變自相關方差表達式，證明了該公式的正確性。 -
Internal and external stability conditions for fractional order linear time - invariant systems are given using laplace transform and residue theorem
運用拉普拉斯變換和留數定理，給出並證明了分數階線性定常系統的內部和外部穩定性條件，並討論了其相互關系。 -
The condition under which the dirac operator is self - adjoint is discussed under the general linear boundary condition between the interval of two points. for the expansion theorem of non - self - adjoint dirac operator, it is unable to use the method of integral equation. but under the linear boundary condition and unlocal boundary condition, the eigenvalue expansion problems of non - self - adjoint operator can still be discussed by using the residue method
對于非自伴dirac運算元的特徵展開定理已無法應用積分方程的方法，本文仍用留數方法對一個兩點非自伴邊界條件和一個非局部邊界條件下產生的非自伴運算元的特徵展開問題進行了討論，分別得到了它們的特徵展開定理。 -
Cauchy residue theorem
柯渦數定理 -
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。
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