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1)  analytical trial function
解析试函数
1.
An analytical trial function method (ATF) was developed based on the quadrilateral area coordinate system (QAC-II) for plane elements (ACATF).
在四边形面积坐标QAC-II的基础上,建立了弹性力学平面问题的面积坐标解析试函数方法。
2.
Based on the analytical trial functions,two 5-node membrane elements named ATFM5-I and ATFM5-II were proposed.
文章以解析试函数法作为工具,以弱式分片试验作为单元收敛判别标准,构造了两个五节点平面单元ATFM5-I和ATFM5-II。
3.
Based on the analytical trial functions,a 4-node 8 degrees-of-freedom generalized conforming plane element with internal parameters is developed in this paper.
利用解析试函数法构造一个内参型四结点八自由度广义协调膜元。
2)  analytical trial function method
解析试函数法
1.
Based on the analytical trial function method,a new beam-shell element is developed for the analysis of short-leg shear walls and tie-beams.
采用解析试函数法,利用广义协调元理论构造了一种适合短肢剪力墙和细长连梁结构分析的墙元。
3)  analytic function
解析函数
1.
On the deducing and the teaching of Cauchy-Rieman equations of analytic function;
论解析函数的Cauchy-Riemann条件的推导与教学
2.
Some properties of p-valents analytic functions with negative coefficients;
关于一类负系数p叶解析函数的某些性质
3.
A sufficient and necessary condition of the analytic function with the higher-order derivative;
解析函数的一个充要条件及高阶导数公式
4)  analytical function
解析函数
1.
By mirror image method and regularity of analytical function,the expression of the electric potential and intensity of a line charge within a thin cylindrical conductor are obtained,and the equations of the equipotential lines and the electric field lines are obtained.
利用电象法和解析函数的规律,得出均匀带电线与接地薄导体圆筒内的电势和电场强度表达式,并给出了等势线与电场线方程。
2.
Based on relationship between analytical functions and Bezier curves,the numerical method of conversion between them was presented.
根据解析函数和Bezier曲线的相关性质,提出一种两者相互转化的新算法,既保证了曲线与实际的一致,又减少了计算的维数。
3.
Also, an expression formula for this analytical function is obtained.
考虑四阶方程(Δ2x- Δ2y)u= 0, 我们得到解的中量M(r,s)与M(s,r)的差是一解析函数, 并且得到了解析函数的表达式, 作为推论, 得到了著名的Asgeirsson 中量定理。
5)  analytic functions
解析函数
1.
A subclass of p-valent analytic functions defined by Ruscheweyh derivatives;
用Ruscheweyh导数定义的一类p叶解析函数
2.
On a subclass of analytic functions with negative coefficients;
关于负系数解析函数的一个子类
3.
Properties of analytic functions defined by Noor integral operator;
由Noor积分算子定义的解析函数的性质
6)  Analytic basis function
解析基函数
1.
In this method,the intranodal flux distributions are expanded by analytic basis functions and orthogonal second-order polynomials for each group,and the fixed source terms including delayed neutron precursor concentration are approximated in terms of polynomials.
在该方法中,各群中子通量分布用解析基函数和二阶正交多项式近似展开,而包含各组缓发中子先驱核浓度的固定源项则利用多项式进行近似。
2.
The method expands the intranodal homogeneous flux distributions in analytic basis functions for each energy group.
提出了一种在三维六角形几何节块内数值求解多群中子扩散方程的节块法,该方法把节块内各群中子通量分布用解析基函数近似展开。
3.
The neutron flux distributions within a node were expanded in a series of analytic basis functions for each group.
提出了一种在二维六角形几何节块内数值求解中子扩散方程的节块法,节块内的各群通量分布用解析基函数近似展开,节块之间采用面偏流0次矩和1次矩进行耦合。
补充资料:抽象解析函数


抽象解析函数
abstract analytic finction

  抽象解析函数【a加的以.回ytiC血叹垃曰;侧.盯盯,.。。.中担叫.a6Cr洲灯幽],加mch宇回的解衍咚射(11n”-lytlcmappmgofBanachs声。粥) 由复B田益‘h空间X的某个区域D到复Bana(上空间y的在D中处处Fr峨元het可微的(di挽rent访bl“~司加名toFI,食11et)函数f(劝,即对于任何点a‘D,存在由X到y的有界线性算一子习‘(a,·),满足下列关系式: 妒爪“川!’·{/(a+h卜一f(a,一胡a,‘川二。,其中}}·{】表示X或Y上的范数;歼(a,h)称为函数f在点a上的Fr阮址t微分(R抚比tdi反代泊任吐). 另一种定义抽象解析函数概念的途径基于〔冶teaux可微性.由D到Y的函数f(x)称为在D中弱解析的(姗目y analytje),或在D中C饱抚么以可微的(由反卿血目ea叻川加gtoG劫eaux),如果对于空间Y上的每个连续线性泛函y’和每个元素h 6X,复函数夕’〔f(x十亡h))是复变量亡在圆盘】亡!  
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