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expansions的中文,翻译,解释,例句,拼写相似词汇

expansions

expansions的基本解释
n.

扩大( expansion的名词复数 ), 扩张, 扩张物, 膨胀物

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The main results are:(1) the L1 boundedness of the Cesaro means operator of the harmonic expansions on the unit sphere with reflection-invariant measures is proved, and the characterization of the convergence index is given; for the points not in the planes with singularities, the pointwise convergence is also proved; these results are the generalizations of those both for the classical spherical harmonic expansions and for the Jacobi expansions;(2) Using the differential-reflection operators of Dunkl type, the uncertainty principle of a class of Sturm-Liouville operators is established, and as consequences, the uncertainty principles of some well-known classical orthogonal expansions such as Jacobi, Hermite and Laguerre expansions are obtained;(3) by introducing the Cauchy-Riemann equations in terms of the differential-reflection operators of two variables, the harmonic analysis of the extended Jacobi expansions is studied; the results include the Lp boundedness and the weak-L1 boundedness of the conjugate extended Jacobi expansions; specially, for some indexes p smaller than 1, the basic theory of the related Hardy spaces is established.

主要成果有:(1)证明了带有反射不变测度的球面调和展开蔡沙罗平均算子的L1有界性,给出了收敛指标的特征刻划,对不在奇性平面上的点,还证明了点态收敛性,这些成果同时推广了经典球面调和展开和雅可比展开的结果;(2)利用Dunkl型的微分-反射算子建立了一类斯特姆-刘威尔算子的测不准原理,并由此得到一些著名的经典正交展开如雅克比展开、赫米特展开和拉盖尔展开的测不准原理;(3)利用由两个变量的微分-反射算子定义的柯西-黎曼方程组来研究扩展雅克比展开的调和分析,证明了共轭扩展雅克比展开的Lp有界性和弱L1有界性,特别是对小于1的一些指标p,建立了相应的哈代空间的基本理论。

Then,the second part is the basic facts about the numerical divided differenceand divided difference expansions, Then discussed the error bounds for the remainder term in Floater s divided difference expansions, and offers an pu...

第二部分是数值差商公式的基本概念,以及差商展开的思想;用初等的方法讨论了Floater中差商展开式的余项估计,|R_p|≤k~/k!

In this paper, we consider the problem of Edgeworth expansions for a class of U-statistic functions by using their Taylor expansions.

利用函数的泰勒展开,考虑了一类U统计量函数的Edgeworth展开问题。分别在函数的三、四阶导数有界等条件的假设下,给出了一类U统计量函数的Edgeworth 展开式

更多网络解释 与expansions相关的网络解释 [注:此内容来源于网络,仅供参考]

Expansions:伸展

9、 15 Stones 15块石头 | 10、Expansions伸展 | 11、The Sidewinder响尾蛇飞弹

Edgeworth-type expansions:艾基渥斯形式展開式

Edgeworth series 艾基渥斯数列 | Edgeworth-type expansions 艾基渥斯形式展开式 | Education 教育

stochastic expansions:随机展开

随机平均:stochastic averaging | 随机展开:stochastic expansions | 随机振动:stochastic vibration

Disable inline expansions:(禁用内联扩展)

"Line number information"(行数信息) | "Disable inline expansions"(禁用内联扩展) | "Pascal"标签

Disable inline expansions:(禁用内联扩张)

"Line number information"(行数信息) | "Disable inline expansions"(禁用内联扩张) | "Pascal"标签

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