4) edge fiber
边界纤维
5) boundary functions
边界函数
1.
Based on the theories of 3D elasticity and piezoelectricity and by assuming appropriate boundary functions,the state equations for closed laminated piezoelectric cylindrical shells are established.
从三维弹性理论和压电学理论出发,通过假设边界函数,导出压电层合闭口柱壳的状态方程,并运用状态转移矩阵方法给出满足两端和内、外表面所有任意边界条件的精确解析解。
2.
Under appopriate assumptions by using the method of boundary functions,the existence and local uniqueness of solutions,constructions of asymptotic solutions and their uniform validity of the problem are studied and the estimation of the corresponding remainder term are given as well in the paper.
研究了一类二阶拟线性奇摄动边值问题解的存在惟一性和一致有效性,利用边界函数法,在适当条件下成功构造了所论问题解的一致有效的渐近展开式,并得到了渐近解的误差估计。
3.
Then the asymptotic solution of doubly boundary layer for the system was constructed, and the character of exponential decay for all boundary functions was proved.
当gy′>0时,首先将所论问题转化成等价的Tikhonov方程组边值问题,然后构造了它的双边界层渐近解,并证明了所有边界函数的指数式衰减特性。
6) boundary function
边界函数
1.
In this paper, at the first, continuity of dilatation function of Beurling-Ahlfors extension in the sence of the norm of boundary functionis is discussed, as an application,this paper discass the stability of dilatation function of Beurling-Ahlfors extension,when the smooth perturbation of boundary function occurs,and give the corresponding error estimate.
讨论了Beurling Ahlfors扩张的伸张函数依某种边界函数范数的连续性,应用所得到的结果,讨论了在边界函数发生光滑扰动时,Beurling Ahlfors扩张的伸张函数的稳定性问题,给出了相应的误差估计。
2.
The concept of boundary function is defined.
定义了边界函数,证明了g(x)几乎处处有界,且‖g(x)‖_∞≤8。
补充资料:等维数理想
等维数理想
eqtn-dhneraional ideal
等维数理想[仰‘一山m改‘.目油川;IlecMeluaHll“‘期e幼〕 (在某个域k上有限生成的)整区R的一个理想m,它具有如下性质:在准素分解m=勿;,n…门勿,中,所有与准素理想勿,,…,汤,相伴的素理想玛,’’、平:皆有相同维数,也就是说,对所有i,商环R/叭皆有相同的为间1维数.这一共同的维数称为等维数理想m的维数(由nrns沁noftheeq山~dinrnsjonalideal). 如果R是某一仿射簇X上的正则函数环,那么R的一个理想m是等维数的,当且仅当由m所定义的子簇YC=X的所有不可约分支都有相同维数. 月.B.K”~撰【补注】一个等维理想也称为非混合理想(坦爪血比记份1).人们有时也用(理想的)“等维数”(闪w,dinrn,s沁n)来替代术语“等维数理想的维数”. 整闭的Noc公rr整环是一个整区,它的所有主理想是等维数的,【AI],p.l%.
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参考词条