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Associate Professor Lie Wang,Department of Mathematics at Massachusetts Institute of Technology（图）
Department of Mathematics at Massachusetts Institute of Technology Associate Professor nonparametric function estimation high dimensional inference
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2014/8/21
Lie Wang is Associate Professor of Mathematics. He joined the department faculty as Assistant Professor in 2008. He received the PhD in statistics from The Wharton School, University of Pennsylvania, ...
利用单参数Lie群组的一种可解性求自治系统首次积分的方法
自治系统 单参数Lie群组 可解性 首次积分
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2013/10/17
讨论了自治系统接受的单参数Lie群组具有一种可解性的情况下求系统的一个首次积分的具体方法.对于n阶自治系统,给出相应参数的一组确定取值,求得系统首次积分;对于三阶自治系统,当系统接受的单参数Lie群组可解时,验证求得首次积分的条件一定成立.
利用Lie群方法求Burgers-Huxley方程行波类首次积分
Burgers-Huxley方程 单参数Lie群 首次积分
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2013/10/19
本文运用Lie群理论,证明了Burgers-Huxley方程的行波解所满足的二阶非线性方程在参数满足一定关系时,在经典意义下接受一个两参数Lie群,此时可用积分法求其首次积分.
Remarks on modular representations of finite groups of Lie type in non-defining characteristic
Finite groups of Lie type unipotent representations decomposition numbers
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2011/8/23
Abstract: Let $G$ be a finite group of Lie type and $\ell$ be a prime which is not equal to the defining characteristic of $G$. In this note we discuss some open problems concerning the $\ell$-modular...
借助Lie群研究Burgers-KdV方程行波解的可积性
Burgers-KdV行波解方程 Lie群 首次积分
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2013/10/20
运用经典Lie群方法证明 Burgers-KdV 方程行波解所满足的二阶非线性常微分方程当且仅当参数满足特殊情况下,恰好接受一个两参数Lie群, 并用不同的方法求出方程的两个相互独立首次积分.
Generalized derivations on Lie ideals in prime rings
Derivations Lie ideals generalized derivations centralizing mappings prime rings
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2011/4/6
Let R be a prime ring with characteristic different from two, U a nonzero Lie ideal of R and f be a generalized derivation associated with d. We prove the following results: (i) If [u,f(u)] \in Z, for...
An Example of Lie Group with Sasakian Structure of Constant $\Phi-$sectional Curvature
sasakian manifold lie group
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2009/1/13
An Example of Lie Group with Sasakian Structure of Constant $\Phi-$sectional Curvature。
Expanded Lie group transformations
Lie group Lie algebra symmetry optimal system invariant
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2010/9/14
Continuous groups of transformation acting on the expnded space of variables, which includes the equation parameters in addition to independent and dependent variables, are considered. It is shown tha...
Applications of Lie group analysis to the equations of motion of inclined unsagged cables
exact solutions inclined unsagged cables Lie group theory
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2010/9/14
Analytical solutions to the equations of motion of inclined unsagged cables have been obtained by using the Lie group theory. The infinitesimal generators corresponding to the problem are calculated a...
Lie-group method for predicting water content for immiscible flow of two fluids in a porous medium
Lie-group method predicting water content immiscible flow of two fluids porous medium
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2010/9/15
Lie-group method for predicting water content for immiscible flow of two fluids in a porous medium