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product sum
相关语句
  乘积和
    Let Un,Vn be Lucas numbers and sequence Pn=c+nd,The sum of product for sequence:∑nk=0Uk Pk. and the sum alternated with positive and negative:∑nk=0(-1)kUkPk and product sum for sequence:∑m+l=nUmPl is discussed and calculation formulas given.
    设Un,Vn是Lucas数,Pn=c+nd是等差序列,该文用发生函数的方法研究了两个序列积的和:∑nk=0UkPk及∑nk=0(-1)kUkPk与序列的乘积和:m+∑l=nUmPl变换问题,给出了一些结果。
短句来源
    The identities involving 2 Lucas number product sum
    2个Lucas数乘积和的恒等变换
短句来源
    The Identities Involving of 3 Lucas Numbers Product Sum
    关于3个Lucas数乘积和的高次恒等变换
短句来源
    Note to the Identities Involving 4 Lucas Numbers Product Sum
    关于4个Lucas数乘积和的恒等变换注记
短句来源
    Note on identities involving of 3 Lucas numbers product sum
    3个Lucas数乘积和的恒等变换注记
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  “product sum”译为未确定词的双语例句
    This paper deals with the product,sum and one point compactification of locally ultra F 1 compact L topological space. It is shown that these classical properties of local compactness can be generalized to L topological space under the assumptions or more assumptions.
    讨论了局部超F1紧的L 拓扑空间的直和、乘积及弱诱导的L 拓扑空间的单点紧化、证明出一般拓扑学中有关局部紧的直和、乘积与单点紧化等重要性质在加一些条件或不加条件可以推广至L 拓扑空间中去 ,从而进一步显示出我们所引入的局部超F1紧空间的合理性 .
短句来源
    Product Sum Formula and Its Applications
    积和式及其应用
短句来源
    The ranks of fuzzy matrices, although studied by many scholars, are not satisfied with investigations into the relations be- tween the ranks and fuzzy matrix operation (product, sum).
    许多学者对Fuzzy矩阵的秩进行了研究,但在Fuzzy矩阵的秩与积、和运算的关系方面,探讨还很不够.
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  product sum
When an inner product sum is ready it is written to a result SRAM which is not shown in the figure.
      


An R-Lie algebra over a ring R (not necessarily commutative) is an R-module together with a map C .3 : A×A→A, called the Lie bracket satisfying the following conditions:(1) bilinearity,(2) [x, x] =0, for any (3) [ [x, y] , z] + [ [y,z] , x) + [ [z,x], y] = 0, for x,y, z ∈ A.§2 discusses the direct sum and product of R Lie-algebras and proves that the product (sum) of R Lie-algebras is an R Lie-algebra, and then, gives a necessary and sufficient condition that R Lie-algebra is a product.§3...

An R-Lie algebra over a ring R (not necessarily commutative) is an R-module together with a map C .3 : A×A→A, called the Lie bracket satisfying the following conditions:(1) bilinearity,(2) [x, x] =0, for any (3) [ [x, y] , z] + [ [y,z] , x) + [ [z,x], y] = 0, for x,y, z ∈ A.§2 discusses the direct sum and product of R Lie-algebras and proves that the product (sum) of R Lie-algebras is an R Lie-algebra, and then, gives a necessary and sufficient condition that R Lie-algebra is a product.§3 first gives the definitions of free R-Lie algebra, projective R-Lie algebra and injective R-Lie algebra, and hence discusses some elementary propenties:Let R be a R-Lie algebra, X be a set. There exists a free R-Lie algebra having X as a basis.Let {Aj:j∈J} be a family of R-Lie algebras If direct sum LIAJ is a projective R-Lie algebra, then Aj is a protective R-Lie algebra, then Aj is a projective R-Lie algebra, for any j∈J.Let {Ej:j∈J} be a family of R-Lie algebras, then product πAj is an injective R-Lie algebra if and only if Ej is an injective R-Lie algebra, for every jJ.

本文研究环模的Lie结构,将“向量空间”推广到“R—模”.

We give concepts of product sum formula and generalized product sum formula, and then show its applications in the conut and proof of combinator identical relation.

给出了积和式、广义积和式的概念及其在组合计数和组合恒等式的证明等方面的一些应用.

The interesting relationship betwee products sum of GCD matrix and the number theory of Euler function is studied. And a sum of products formula is obtained, finally the paper gives the upperbound and the lower bound of the sum of products of CCD matrix

研究GCD矩阵的积和式和Euler数论函数之间的有趣联系,得到了GCD矩阵的积和式公式,并给出了GCD矩阵的积和式下界和上界。

 
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