查询词典 scalar valued function

Also ,, and constitute the first radial scalar meson nonet, it is supposed that these states would likely correspond to the observed states ,, and ,respectively. The scalar state may be a good candidate for the ground scalar glueball.

结果表明，和组成基态标量介子九重态，它们分别对应于实验上观测到的共振态，，和；，，和组成第一径向激发标量介子九重态，它们分别对应于实验上观测到的，，和共振态；而是基态标量胶球很好的候选者。

For the first time, we investigated the possibility of using non-minimal coupled scalar field (include Real and Complex scalar fields) as the candidate of dark energy---Quintessence or Phantom. A cosmological model droved by real scalar field with accelerating and decelerating, forever cycling and expanding was constructed. Classical and quantum wormholes with Tachyon fields were discussed in detail. The entropy of sphere symmetric black holes due to arbitrary spin fields was studied, and the proportional relations between entropy and fields degeneracy was derived. For the first time, we investigated the neutrino quasinormal modes of stationary black holes in the background of de Sitter space-time, and the quasinormal modes of Schwarzschild black holes with arbitrary spin fields. We also studied the quantum teleportation in the background of curved space-time for the first time.

中文摘要：我们首次研究了非最小耦合标量场作为宇宙暗能量－Quintessence、Phantom的可能性；构造了一个实标量场驱动的加速－减速无限循环，永恒膨胀的宇宙模型；详尽讨论了具有Tachyon场的经典和量子虫洞；研究了一般球对称黑洞缘于任意自旋量子场的熵，给出了熵与量子场简并度之间的正比关系；首次研究了deSitter背景时空下具有中微子场的稳态黑洞的似正规模与具有任意自旋场的Schwarzschild黑洞的似正规模问题；首次研究了弯曲时空背景下的量子通讯问题。

We introduce the notion of fuzzy-valued continuous function on a compact set K in a metric space, and discuss its properties; On this base, we study the uniformly d∞-convergence of a sequence of fuzzy-valued continuous function on K. We prove that the space of fuzzy-valued continuous functions on K, i.e. C(K, E1), is a complete metric space with respect to the metric D.

引入了定义在某度量空间的紧子集K上的模糊数值连续函数和水平连续函数的概念，讨论了它们的某些性质；在此基础上，研究了K上模糊数值连续函数列的一致d∞-收敛性，证明了K上模糊数值连续函数空间C(K， E1)关于度量 D 构成一个完备的度量空间。

It employs the complex-valued step function to build neural model, then constructs network structure and decides the number of neurons; it adopts complex-valued Hebbian rules and inner product way to calculate the net weight matrix; then it analyzes the convergence of the network by taking advantage of the definition of energy function. In the image pre-processing stage, 2-dimensional Fourier Transform and Euler's formula are used, respectively, to transfer a gray-scaled image into phase information needed by the complex-valued neural network when stores the traffic sign. In the image post-processing stage, phase inverse transformation is used to change the phase image to gray-scaled image.

采用复数阶跃函数构建了神经元模型，建立了复数Hopfield神经网络结构，并且确定了网络中神经元的个数；借助复数Hebbian学习规则和复数内积法给出了网络权值的确定方法；借用复数网络能量函数的定义，说明了复数识别网络的收敛性；在前期的图像数据处理部分，分别使用离散二维傅里叶变换和欧拉公式，给出了将灰度图像数据转化为复数网络所需要的相位信息的方法，实现了网络对路牌的记忆存储；在后期的图像还原部分利用相位逆变换的方法，实现了相位图到灰度图转化。

In three-valued neural networks model, the energy function of two-valued neural networks model can not be applied, so the energy function need to be find for the three -valued neural networks model, and here two kind model algorithms are compared in this paper.

在三值神经网络模型中，二值模型的能量函数不能适用于三值模型，因此需要求解三值模型的能量函数，在此本文对三值神经网络测试生成算法与二值神经网络测试生成算法进行比较。

Iii By using the well-known properties of the dela vallee-poussin summability kernels and the pass principle of weakly compact operator, we study the weak compactness of C〓 on vector-valued analytic function spaces H〓, B〓, N and N〓, establish some connections between the weak compactness of composition operators and the structure properties of Banach spaces. These generalize and unify the corresponding results in the scalar-valued setting and enrich the content of the study of composition operator in another way.

第三，利用著名的de la Vallee-poussin可和核及有关算子的弱紧性的传递原理给出了向量值解析函数空间H〓、B〓、N及N〓上的复合算子的弱紧性的刻画，建立了复合算子的弱紧性与Banach空间的结构性质之间的联系，统一和推广了对应的数量值解析函数空间上的复合算子的弱紧性，这从另一种途径极大地丰富了复合算子的研究内容。

Optimization; parametric quadratic convex programming; set-valued map; directional derivative; linear stability; solution-set map; parametric linear programming; error bound; subdifferential map; lower locally directionally Lipschitzian; upper locally di-rectionally Lipschitzian; locally directionally Lipschitzian; convex function; quasidiferential; kernelled quasidiferential; quasi-kernel; star-kernel; star-diferential; Penot diferential; subderivative; superderivative; epiderivative; set-valued optimization; set-valued analysis; subdifferential; optimization condition;ε-dual; scalization; generalized subconvexlike-cone;ε-Lagrange multiplier

基础科学，数学，运筹学最优化；集值映射；方向导数；线性稳定；最优解集映射；参数线性规划；参数凸二次规划；误差界；次微分映射；下局部方向Lipschitzian；上局部方向Lipschitzian；局部方向Lipschitzian；凸函数；拟微分；核拟微分；拟核；星核；星微分； Penot-微分；上导数；下导数； Epi-导数；集值优化；集值分析；集值映射的次微分；最优性条件；广义锥次类凸；ε-对偶；数乘；ε-Lagrange乘子

It differs from the scalar-valued case that the existence of the atomic decompositions of Banach-space-valued martingales is closely connected with the geometrical properties of the Banach spaces.

与标量值不同的是，在向量值情形下，这些鞅空间的某些类型的原子分解的存在性和它们之间的相互关系都与值空间的几何性质有紧密联系。

Compared with the initial value problems of scalar conservation laws with smooth flux function, the global weak entropy solutions for the initial-boundary value problems of scalar conservation laws with weak discontinuous flux function include the following new interaction types: a rarefaction wave collides with the boundary and is absorbed compltetely or partially by the boundary; a rarefaction wave collides with the boundary and the boundary will reflect a contact or non-contact shock wave; a contact or non-contact shock wave collides with the boundary and is absorbed by the boundary; a contact or non-contact shock wave collides with the boundary and a new non-contact shock will rebound from the boundary simultaneously or later.

与具有光滑流函数的单个守恒律的初始值问题相比，具有弱间断流函数的单个守恒律初边值问题的整体弱熵解中包括下列新的相互作用类型：稀疏波碰到边界并被边界部分或全部吸收；稀疏波与边界相撞，边界反射出一个接触或非接触激波；接触或非接触激波碰到边界并被边界吸收；接触或非接触激波与边界相撞，边界同时或稍后反射出一个新的非接触激波。

The calculation of wavelet and scalar function coefficients at the process of decomposition of triangular mesh, the choice of wavelet coefficient threshold and the calculation of scalar function coefficient at the reconstruction process are introduced in this dissertation. The multiresolution decomposition, compression and reconstruction of triangular mesh with subdivision connectivity are realized.

关于细分连续三角网格的多分辨分解、压缩与重构，本文介绍了细分连续三角网格分解过程中小波系数及尺度函数系数的计算、小波系数的阈值选取和重构过程中尺度函数系数的计算，并给予了实现，获得较好的压缩性能和质量。

I can not negligent, he should do what?

我不能不在意了，他要做什么呢？

It is very dangerous to swim in the river alone.

一个人到河里游泳是很危险的。