product space

hilbert space as a class of inner product space is one of the important mathematical research objects.

Hilbert空间作为一类内积空间是数学研究的重要对象之一。

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industrial cluster; revealed comparative advantage; location quotient; location quotient proximity; product space structure graph;

产业集群；显性比较优势；区位商；区位商邻近；最大生成树；产品空间结构图；

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topological space, metric space, normed linear space and inner product space

详细描述：拓扑空间、度量空间、线性赋范空间、内积空间分别为

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there are many different types of abstract space in mathematics, for examples, vector space, inner product space, etc.

数学上存在各种不同的抽象空间，例如向量空间，内积空间等。

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The number of sampling points is defined theoretically using two-dimensional sampling theorem and space-bandwidth product invariability, and the limits of measurement are analyzed.

基于二维抽样定理和空间带宽积不变性原理确定衍射光场的计算量，并分析相位恢复检测范围的限制因素。

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Secondly, the two-dimensional tensor product space H~ 1(Ω) is constructed, and the space H~ 1(Ω) with a reproducing kernel is verified;

第二，构造二维张量积空间H~1（Ω），并证明该空间具有再生核；

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The evolvement matrices described the product family evolvement space.

产品主结构、产品组和产品的演化矩阵构成了产品族演化过程空间。

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In the inner product space, the existence theory of best approximation element was obtained and described.

获得了内积空间关于弱闭凸集的最佳逼近元的存在性及其刻划定理.

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The author describes those additive mappings from a second symmetric product space to another, over a? eld of characteristic not 2 or 3, which preserve decomposable elements of the form λ u · u where u is a vector and λ is a scalar.

刻划了特征不为2及3的域上所有从一个第二对称积空间到另一个的保形如λu·u（u是向量且λ是纯量）的可分解元素的加法映射。

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In this paper the linearly topological structure of Menger Probabilistic inner product space is discussed. In virtue of these, some more general convergence theorems, Pythagorean theorem, and the orthogonal projective theorem are established.

本文讨论了Menger概率内积空间的线性拓扑结构，建立了空间上较为一般的收敛定理，勾股定理及正交投影定理等。

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we investigate a class of non-hyperbolic diffeomorphism defined on the product space.

我们考虑一类定义在乘积空间上的非双曲微分同胚，借助Pesin理论以及一致双曲动力系统的基本理论，研究了此类系统的遍历论。

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On the non-negative definite operator in the tensor product space

关于张量空间上的非负定算子

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on definition of probabilistic inner product space and the contradiction is eliminated

关于一种概率内积空间定义中错误的修正

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On Fundamental Groups and Deformation Retraction of Product Space

关于乘积空间基本群和形变收缩核的相关讨论

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At the same time, in the process of empirical analysis of sample, product space reveals differences of endowments and upgrading direction of different districts.

同时，在对制造业的实证分析中，产品空间反映出各个地区已有要素禀赋、最佳的升级方向是不一样的。

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A theorem about subnormality of product space

关于乘积空间次正规性的一个定理

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We study the fixed point ofthe function that was suitably made in the product space.

在乘积空间中适当构造了一个向量函数，研究该函数的不动点。

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Finally, we prolongate the theory to two dimension tensor product wavelets space, proofing the best approximation property of product spline wavelets interpolation and constructing the parallel algorithm of the wavelets decomposition.

最后，我们继续将这一理论拓展到二维张量积小波空间，验证了乘积型样条小波插值的最佳逼近性质，进而在二维张量积小波空间构造了乘积型样条小波分解的并行算法。

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A tensor product space H [ 0, a](?)

本文构造了张量积空间H[0，a]（？）

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Best Approximation Element in the Product Space of Unanimity Convex Hilbert

一致凸Hilbert空间乘积空间的最佳逼近元

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This technique is more efficient in its utilization of the space-bandwidth product of the SLMs.

这种方法能够更加有效的利用空间光调制器的有限的空间带宽积。

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the teacher explained the hermitian inner product space.

老师解释了厄米内积空间。

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in this paper, the vertical concept on the fuzzy inner product space is given and a regular vertical base is introduced.

文章给出了模糊内积空间中垂直的定义，介绍了正规正交基，然后利用它讨论了模糊内积空间的一些性质，并证明了勾股定理。

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Eventually applied to practical work, so as to ensure the reliability of electronic product space.

最终将其应用到实际工作中，从而保证航天电子产品的高可靠性。

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METHODS To set up the local plasma drug concentration space time equation with the product of plasma drug concentration time and concentration space position function.

方法将局部药物浓度时空方程构建为空间分布函数和时间分布函数（药物浓度经时方程）的积函数。

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in this paper, we construct the product interval-valued measure and product fuzzy-valued measure on cartesian product space, and prove the fubini theorem of fuzzy-valued integrals with respect to interval-valued measure and fuzzy-valued measure.

建立卡氏积空间（X×Y，S×T）上的乘积区间值测度和乘积模糊值测度，证明模糊值测度空间上模糊值函数的模糊值积分的Fubini定理。

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Intersecting Dimension Algorithm and Application Using Space Vector Product

基于空间矢量积的面积求交算法与应用

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Use the results and methods of operator theory in the Krein space L2 ( I, w) ( indefinite inner product space) to investigate the spectrum of differential operators with indefinite weight function w;

二是利用完备的不定度规空间L w~2（Krein空间）内的算子理论和方法来研究和处理带有不定权函数的微分算子；

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The reaction condition ( including temperature, space velocity, ratio of H2 to oil) has great effect on the product distribution.

FC-28催化剂对工艺条件变化适应性强，温度、空速、氢油比对产品分布有显著的影响。

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In order to get the transformation from the ordinary space to the noncommutative space, one needs to expand the star product, and the extension is simple and natural.

从普通空间中的量子力学过渡到非对易空间，只需要把原来的木乘积稍作推广，并且，从形式上来看，这样的推广是简单，自然的。

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