orthogonal expansion meaning in English
正交函数展开
正交展开
Examples
- Are uncertain and should be regarded as random variables , therefore the reinforced concrete frame is stochastic structure inherently , and then its motive equations converted to combined random differential equations for the uncertain parameters and external random excitation . these equations were solved by order - orthogonal expansion method with pseudo - excitation method , and then the statistic stochastic responses of random structure were obtained . at last , based on the stochastic cumulative damage model with double parameters developed by park , formulas were formulated for calculating structural earthquake damage probability using the structural reliability theory ( mainly jc algorithm ) in extensive random space
首先对受地震激励的剪切型钢筋混凝土结构进行建模，用随机等效线性化方法将二阶非线性微分方程组化成一阶线性微分方程组(或称之为状态方程) ；再考虑材料等参数的随机性，则状态方程成为复合随机微分方程组，将扩阶系统方法和虚拟激励方法推广并应用于这个复合随机微分方程组，求出结构的随机响应量的统计参数；最后采用随机累积损伤破坏准则，在广义随机空间内，用jc算法求解失效概率，进而求出结构的抗震可靠度。 - We have the following results . part i the computations of the bergman kernel functions the bergman kernel function plays an important role in several complex variables . s . bergman introduced the concept of bergman kernel function in 1921 when he studied the orthogonal expansion on d in c and he generalized it to the case in several complex variables in 1933
Bergman核函数的显式表达bergman核函数在(单、多)复变函数理论的发展过程中起着十分重要的作用， bergman在1921年研究复平面中区域d上的正交展开，其研究结果导出了一个核函数k _ d ( z ， ) ， ( z ， t ) d d 。 - In this paper , based on an improved orthogonal expansion in an clement , using the new idea of ref . [ 3 ] , a new error expression of n - degree hermite finite element approximation to one - dimensional 4 - degrec 2 - point bounded problem and 2 - degree ordinary differential problem , and then optimal order superconvergence for their first derivatives is obtained . moreover , we get the same result of their optimal order superconvergence
本文针对在改进的单元正交性估计的基础上，利用文[ 3 ]提出的新想法，得到一维四阶两点边值问题和二阶常微初值问题的n次赫米特有限元u _ h c ~ 1的新误差估计式，以及导数误差的最佳阶超收敛，并且两者有相同的超收敛结果。