基本解释：解析开拓
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Infinite integrals of coefficients of algebraic equations are reduced to finite integrals by using contour integral and the principle of analytic continuation.并提出可以用围线积分和解析开拓原理把方程组系数的无穷积分化为有穷积分。
It is important to study the function singularities by Taylor s development in the theory of analytic continuation.利用函数的泰勒展开研究函数奇点问题是函数解析开拓理论研究的重要课题。
The research on that"Taylor series generally considers its convergent circle as the cut secant"is an important problem of analytic continuation."泰勒展开是否以收敛圆为割线"问题是解析开拓理论研究的重要课题,但对此国内外尚无全面细致地研究。
The proof of the result is constructive and is based upon continuation methods.结论的证明基于解析开拓法,并具有可构造性。
The multiple-height analytical continuation in processing the gravity anomaly data from the East China Sea and adjacent regions;东海及邻域重力异常数据的分区解析延拓处理
The values of analytical continuation at different depths from the potential field downward constitute the continuation field, on which the principal component analysis is made.位场向下在不同深度上解析延拓的值构成延拓场,可对延拓场进行主成份分析。
By using shooting method and analytical continuation, the nonlinear ordinary differential equations with boundary values at two points are numerically sol.基于轴线可伸长杆大变形几何理论，建立了两端不可移简支均匀加热直杆过屈曲行为的精确数学模型，把挠曲线弧长ｓ（ｘ）和纵向位移ｕ（ｘ）也作为基本未知量，采用打靶法和解析延拓法直接用数值求解，获得了非线性边值问题数值意义上的精确解，并给出了相应的数表和特性曲线。
