This article deals with a significant property of the Tensor Product of Complete Lattices : A B are the complete Heyting algebras if and when the tensor product of A and B is complete Heyting algebra .

本文讨论了完备格上 张量积的一个有意义的性质：A、B是完备的Heyting代数，当且仅当A与B的张量积是完备的Heyting代数。

We obtained also come results for rank of tensor product matrices .

本文还得到了关于 张量积矩阵积的某些结果。

Compared to the tensor product wavelet filter the construction of non-tensor product wavelet filter has greater freedom and singularity characteristics to capture all directions it also has all the capacity of traditional wavelet : multi-resolution analysis and low computational complexity .

和 张量积小波滤波器相比，非张量积小波滤波器在构造上有更大的自由度而且具有捕获所有方向的奇异性的特点，它还拥有传统小波所有的多分辨率分析和低计算复杂度的能力。

Printer Calibration Based on B-spline Tensor Product

基于 张量积样条函数的打印色彩校正

Played out in a graded tensor product spaceso .

在一个递级 张量积空间。

The Constrained Optimal Multi-degree Reduction of Tensor Product B é zier Surfaces

带约束条件的 张量积Bézier曲面最佳降多阶

The technique of signal transmission by the tensor product is introduced .

研究通过运用 张量积 网络实现信号传递的技术。

Tensor product Bernstein polynomials are basic elements in geometric modeling .

在几何造型中， 张量积Bernstein多项式具有非常重要的地位。

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。

During the research of vertex ( operator ) algebras conceptions of direct product and tensor product vertex algebras have been introduced .

在研究顶点（算子）代数的过程中，直积和 张量积两个概念已经被引进。

Complexity of Tensor Product of Koszul Algebras

Koszul代数的 张量积的复杂度

Some Result for the Tensor Product of Matrices Over a Chain Semiring

关于链半环上矩阵 张量积的某些结果

The paper based on tensor product and orthogonal expand in the element proves super convergence of time continuous fully discrete finite element for parabolic equation at nodes and inter characteristic points .

利用 张量积 分解和时间方向单元正交分解，证明了线性抛物型方程的时间连续全离散有限元在单元节点和内部的特征点的超收敛性。

In this paper we discuss isomorphic factorization for tensor product of two divisible graphs and prove the conditions for the tensor product graphs to be factorized isomorphically .

本文讨论了两个可分图的张量乘积图的同构因子分解问题。给出了 张量 乘积图可同构因子分解的判定条件。

In this paper we obtain some sufficient condition for Tensor product graphs to be integral by using the relations between the Tensor product graphs and their spectra . We also give a new method to construct integral directed graphs and find some new integral directed graphs .

通过研究Tensor乘积图与其谱之间的关系，得到 Tensor 乘积图是整谱图的条件，并由此获得了构造新的整谱图的方法，找到了一些新的整谱有向图。

Fuzzy Automaton Composition and Its Application Based on Tensor Product Algorithm

基于 乘积 张量算法的模糊离散事件系统自动机组合及应用

The G1 continuity conditions between tensor product B-spline surfaces with single interior knots are studied .

研究了内部单节点 张量积B样条曲面间G1连续的条件。

Leibniz Algebras Defined by Tensor Product of Lie Algebras

李代数的 张量积所确定的Leibniz代数

In this paper the basical conception of wavelet transformation is introduced at first . Then the theory of multiresolution and 2-D tensor product multiresolution which are theoretical bases of discrete wavelet transformation are discussed and wavelet algorithms of analysis and reconstruction are strictly reasoned .

本文首先简要介绍了小波变换的基本概念，然后讨论了作为离散小波变换的理论基础的一元多分辨分析及二元 张量积多分辨分析，较详细地推导了一维和二维小波分解与重构算法。

In this paper a fast algorithm for image interpolation based on the tensor product of matrices is presented which transforms the vector interpolation model to matrix form .

这个矩阵需要很大的存储量和计算 量。本文利用矩阵的 张量积将原有的矢量插值模型转化成矩阵插值模型。

In this paper the authors give a representation of the relation matrix of the cardinal product of two partial ordered sets by the tensor product of their relation matrices which helps to obtain a kind of method to check the associative law of binary operation .

利用矩阵的 张量积给出了偏序集基数积的一种矩阵表示，得到了检验有限集合上的代数运算满足结合律的一种方法。

Approximate Merging of a Pair Tensor Product B é zier Surfaces

两相邻 张量积Bézier曲面的近似合并

The existence of a tensor product is proved in the left quasi-normal band category and the relationship with the tensor product in the semi-group category is provided .

证明左拟正规带范畴中 张量积的存在性，并证明了它与半群 张量积的关系，同时给出半格在左拟正规带范畴中张量积与在半格范畴中 张量积之间的关系。

New equivalence representation of the irreducibility for tensor product of matrices

矩阵 张量积不可约性的新等价表征

Application of Tensor Product of Matrices in Discrete Mathematics

矩阵的 张量积在离散数学中的应用

A Result of Tensor Product over Algebras

关于代数 张量积的一个结果

This paper investigates the smallest singular value of matrices the spectral radius of the iterative matrix the minimal eigenvalue of irreducible M-matrices and some spectral properties of tensor product of matrices .

本文主要研究了矩阵最小奇异值，迭代矩阵的谱半径，不可约M矩阵的最小特征值以及矩阵 张量积的一些谱性质。

The determinate problems of the real positive definite matrix are given some sufficient conditions and some determinate criterions for the tensor product of two real positive definite matrices are also obtained .

首先讨论了实正定（半正定）矩阵的判定准则，给出了若干充分性条件，其次得到了实正定矩阵 张量积为实正定阵的若干判定准则。

But tensor product wavelets has a number of drawbacks .

张量积小波有其自身的缺点。

Tensor Product and Joint Spectrum

张量积与联合谱