张量积的英文

• te or product
• tensor product

• 张量    tensor
• 积    amass; store up; accumulate
• 归纳张量积    inductive tensor product
• 解析张量积    analytic tensor product
• 局部张量积    local tensor product
• 射影张量积    projective tensor product
• 完全张量积    complete tensor product
• 张量积表示    tensor product representation
• 张量积代数    tensor product algebra
• 张量积码    tensor product code
• 张量    [数学]tensor◇张量分析 tensor analysis; 张量计算[演算] tensor calculus; 张量空间 tensor space; 张量力 [核物理] tensor force; 张量微分 tensor differentiation; 张量运算 tensor operation
• 标量积    dot product; scalar product
• 纯量积    dot product; inner product; scalar product
• 度量积    metric product
• 能量积    energy product
• 矢量积    cross product; outer product; vector product
• 数量积    dot product; scalar product
• 相量积    phasor product
• 向量积    cross product; outer product; vector product
• 纯量积, 内积, 标量积    scalar product
• 矢积, 矢量积, 叉积, 向量积    vector product
• 半纯量积    semiscalar product
• 标量积循环    scalar product cycle
• 并向量积    dyadic product
• 叉乘积, 向量积    cross product

• The boundary curves correspond to a set of rectangular or triangular topological type that can be represented with tensor - product or degenerate b - spline surface patches
  其中边界曲线对应于可用于张量积b样条曲面的具有矩形结构的曲线集合。
• Last , the tensor product surfaces are generated by the non - uniform b - spline and b zier - like basis , then , paper research the property of this surface
  最后,分别给出了这种有理b样条曲面和有理b zier曲面的张量积表达式,并研究了它们的性质
• The generation of tensor product surfaces of every kind of curves is straightforward ; these corresponding tensor product surfaces also contain many special surfaces , including spherical surface , ellipsoid , hyperboloid etc
  对于每一类曲线作者均将它们直接推广到张量积曲面，这些曲面可以精确表示球面、椭球面、双曲面等二次曲面。
• In the first part , we proof that tensor product of projective semimodules is still projective ; in second part , we construct the equivalence condition of projective semimodule and horn exact sequence
  摘要第一部分在[ 3 ]中张量积的定义下证明了投射半模的张量积仍是投射的；第二部分在文献[ 4 ]正合列的定义下建立了投射半模与函子正合列的等价条件。
• This paper covers a method of constructing bivariate non - tensor product wavelets by means of direction integral and thus it provides the probability to inherit and improve the excellent properties of existed tensor product wavelets , especially , daubechies ' wavelets
  摘要以方向积分为工具，给出一种利用一元小波构造二元性张量积小波的方法，从而为继承和提高现有张量积小波的优秀性质提供了可能性。
• Discussed the numerical calculating quantity of the volterra series , and put forward a separable volterra series model based on the representing of volterra series with tensor production , which evidently reduced the numerical calculating quantity and unproved the performance . 3
  在研究用张量积来表示volterra级数的基础上，提出了“可分离的volterra级数模型” ，显著降低了volterra级数的运算量； 3
• We can give different structures on a tensor product h q to make it a bialgebra or hopf algebra . in [ 1 ] radford constructed a hopf algebra a x h with the smash algebra structure and the smash coproduct coalgebra structure , and pointed out that if a bialgebra b has a hopf subalgebra h and a projection ! : b - - > h , then there must be a subalgebra a of b such that b @ a x h is a bialgebra isomorphism
  在张量积hq上可以给出不同的构造，使它成为双代数或hopf代数， radford在文献[ 1 ]中构造了以smash积为代数结构，余smash积为余代数结构的hopf代数a h ，并指出若b是双代数， h是b的子hopf代数，且存在投射： b h (即是双代数同态，且| _ h = id _ h ) ，则一定存在b的子代数a ，使ba h是双代数同构。
• 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 . the emphasis in this paper is exploration in realization of 2 - d dwt in image processing . through exploring the structure of nonseparable computation method applied to realize 2 - d dwt using orthonormal wavelet base with periodical extension of image data and biorthonormal wavelet base with symmetrical periodical extension of image data and analyzing characters of 2 - d wavelet filters which are produced by 1 - d wavelet filters , and combining a new computational method , modified algorithms are proposed
  通过研究对图象数据采用周期边界延拓，利用正交小波基的二维离散周期小波变换和对图象数据采用对称周期延拓，利用双正交小波基的二维离散小波变换的非分离计算方法的计算结构，并对由一维正交小波滤波器和一维双正交小波滤波器以张量积方式构造的二维小波滤波器的特点进行了分析，结合一种新的计算方式，对算法进行了改进。
• In this paper , we will more deeply research on the base of the works , the first part , we give the summarize for the condition and the significance . the second part , we give the preparation knowledge to the whole paper ; the third part , we research the lower and upper bound of the generalized hamming weights for the linear codes ; include d ( r , n , k ) bound , the finite sum representation of the lower and upper bound function of generalized hamming weights for linear codes , generalized griesmer bounds ; the 4 - th part , research the definition , the property of the r - th generalized weights for the non - linear codes and non - linear constant codes , and give the expression of the generalized weight of binary ( n , m , d ) non - linear codes ; the 5 - th part , research the weight hierarchy of linear codes and non - linear codes , for example , necessary condition and sufficient condition , the 6 - th part , we research the expression of the r - th generalized hamming weights of reseaval classes codes
  本文在已有的基础之上作了进一步的探讨，第一章综述了广义hamming重量的现状和意义；第二章给出了全文的预备知识；第三章研究了线性码的广义hamming重量的一些上下界；包括d ( r , n , k )界，上下限函数有限和表达式，广义griesmer界；第四章讨论了非线性码及非线性等重码的广义hamming重量的定义、性质，给出了2元( n , m , d )非线性码的第r广义hamming重量的表达式；第五章研究了线性码、非线性码的重量谱系；第六章给出了几类码的广义hamming重量的表达式，这些码包括直和码( directsumcodes ) 、笛卡尔积码( cartesianproductcodes ) 、张量积码( tensorproductcodes ) 、延长hamming码。
• In the second chapter some problems for degree reduction of bezier curves and surfaces are studied . in this chapter , degree reduction of bezier curves with points constraints is proposed and the new approach of constrained optimization is brought in light . the stepwise method for degree reduction of rectangular bezier surfaces is further discussed
  第二章研究b zier曲线曲面的降阶逼近问题，在这一章中，提出了b zier曲线的点约束降阶逼近新问题，并给出了约束优化方法；讨论了张量积b zier曲面的逐步降阶逼近新方法，此方法的优点是直接利用b zier曲线的降阶逼近方法解决张量积b zier曲面的降阶逼近问题。

• 张量积的法语：Produit tensoriel
• 张量积的日语：テンソル積
• 张量积的韩语：텐서곱
• 张量积的俄语：Тензорное произведение