查询词典 hilbert nullstellensatz

In order to construct the spectral decomposition of the Frobenius-Perron operator for a general Chebyshev maps We define a suitable dual pairs or rigged Hilbert space, which provides mathematical meaning for the spectral decomposition.

为了构建广义Chebyshev映射在Frobenius-Perron算子下的一种谱分解。

And then prove that every approximately derivable maps of nest algebras acting on an infinite dimensional Hilbert space is inner.

并且对作用在无限维Hilbert空间上的套代数上的近似可导映射进行了刻画，证明了它是一个内导子。

We have obtained the following main significant results:(1) A master constraint operator for LQG is constructed, which is shown to be self-adjoint in the diffeomorphism invariant Hilbert space. Thus it lays a foundation for the master contraint programme in LQG;(2) The Immirzi parameter ambiguity in LQG is fixed by introducing supersymmetry, which leads to the conclusion that in the case where matter fields are coupled LQG might prefer supersymmetry in low energy;(3) The current accelerating expansion of our universe is successfully explained in the context of 5-dimensional Brans-Dicke theory, which gives a natural strategy to solve the dark energy problem.

重要成果包括：(1)构造出圈量子引力的Master约束算符，并证明了其自伴性，从而为应用Master约束方法解决量子动力学的难题奠定了基础；(2)通过引入超对称合理地固定了Immirzi参数，得出了在与物质场耦合的低能情况下圈量子引力可能偏爱超对称的结论；(3)用五维Brans-Dicke理论成功地解释了当今宇宙的加速膨胀，从而给出了一个自然解决暗能量问题的方案。

An optional 32-bit NCO/mixer in complex mode provides frequency upconversion and the dual DAC output produces a complex Hilbert Transform pair.

TI 公司的DAC56883G是高性能的16位800MSPS双路数模转换器，非常适合3G和4G通信系统的应用。

Relationship between the dual form and primal form of solution based on SVM method in a frameable reproducing kernel Hilbert space is studied.

在基于标架型的再生核希尔伯特空间中，研究了SVM算法下，解的对偶形式和原形式之间的关系，进而将SVM算法与最小二乘法相结合，讨论了支持向量机的半参数估计。

In the third section, we prove the equivalent conditions of the alternate dual frames in Hilbert spaces.

第三节证明了Hilbert空间中的框架交错对偶的等价条件。

We have obtained the dual cross product 〓 if a Kac-systemacts on a Hilbert 〓-module E;then we generalized Baaj and Skandalis'duality theorem.

我们得到当一Kac-系统作用在〓模E上时，两次交叉积E×S×S等价于〓；从而，Baaj和Skandalis的对偶理论是我们的一个特殊形式。

By the theory of complex functions, dynamic propagahon problem on Dugdale model of mode Ⅲ interface crack for nonlinear characters of materials was studied. The general expressions of analytical solutions are obtained by the methods of serf-similar functions. The problems dealt with can be easily transformed into Riemann-Hilbert problems and their closed solutions are attained rather simple by this approach.

通过复变函数论的方法，对材料的非线性特性下的Ⅲ型界面裂纹Dugdale模型的动态扩展问题进行了研究，采用自相似函数的方法可以获得解析解的一般表达式，应用该法还可以很容易将所讨论的问题转化为Riemann-Hilbert问题，并可以相当简单地得到问题的闭合解，利用这些解并采用叠加原理，就可以求得任意复杂问题的解。

In the product space of unanimity convex Hilbert, we obtained the theory of existence and uniqueness of best approximation element on weakly closed t convex set .

讨论了凸集及凸包的形态学运算的几个几何特性，并使某些文献中的几个错误结论得到修正和完善。

Signal analysis;parabola parameter spline curve;Empirical Mode Decomposition;Intrinsic Mode Function;Hilbert transform

信号分析；抛物参数样条曲线；经验模态分解；固有模态函数；希尔伯特变换

The author has visited human subject committee of Havard School of public health during the fellowship in research ethics.

保护研究受试者的权益和安全是临床研究的首要原则。

Never frown in bad mood,who knows some guy might fall in love with your smile.

即使不开心也不要皱眉，因为你永远不知道谁会爱上你的笑容。。。