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sum of product
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  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 sum of product and product sum of Lucas number sequence
     关于Lucas序列的乘积和与积的和
短句来源
     Properties of the sum of products involving the cubic of the 2nd Chebyshev polynomials is discussed,some identities of the sum of product involving 2nd Chebyshev polynomials and Fibonacci number is obtained.
     研究了第二类Chebyshev多项式立方的乘积和的一些性质,给出了一组关于第二类Chebyshev多项式立方乘积和的恒等式及关于Fibonacci数立方乘积和的一个结论.
短句来源
  “sum of product”译为未确定词的双语例句
     MONOTONE SUM OF PRODUCT EXPANSIONS AND MONOTONE DECOMPOSITION THEOREMS OF BOOLEAN FUNCTIONS
     单调积之和展开式与布尔函数的单调分解定理
短句来源
     Based on Logistic curve, the time state variable in Logistic function was expressed as a function about effective accumulated temperatures (GDD) and effective accumulated light intensity (RDD, the sum of product in certain period was defined as the new concept and the product was that light intensity higher than light compensation point multiplied with time) in this model.
     该模型以Logistic方程为基础,用关于有效积温和有效光照累积(一定时期内高于黄瓜光补偿点的光照强度与光照时间乘积的累加值)的一个函数代替Logistic方程中的时间变量,使该模型不仅继承了经验模型参数较少的特点,还使黄瓜干物质积累受到温度、光照等环境因素的影响,具有一定的解释性。
短句来源
     The monotone sum of product expansions of monotone Boolean functions and its constructive algorithm are presented in this paper. The implementation of the algorithm is very intuitive.
     本文给出单调布尔函数的一类范式——单调积之和展开式以及构造它的算法,该算法的实现是很直观的。
短句来源
     The main principle of the method is described as follow:taking the n Boolean variables x 1x 2…x n and their Boolean complements 1 2… n as the 2n nodes of the diagraph,also taking each minimum term of the diagraph as a tree,then follow the rules presented at the paper,finally get the reducted logical expression in sum of product form.
     其指导思想是 :将几个逻辑变量 x1x2 … xn 及它们的非 x1x2 … xn看成是图中的 2 n个节点 ,将逻辑函数中每个最小项看成是图中的一个树 . 然后 ,按文中所指出的规则就可以得到无冗余的最简与或逻辑表达式
短句来源
     This method can clearly show that the strategic bidding generator's Lerner index is proportional to its market share, adversely proportional to the sum of product of each participant's market share and supply (demand) price elasticity and network impact factor through all other participants.
     该方法还能表明进行策略报价的发电商的Lerner指标与它的市场份额成正比 ,与所有其他市场参与者的市场份额、供给 (需求 )价格弹性和对该发电商的网络影响因子的乘积之和成反比。
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短句来源
     Product Sum Formula and Its Applications
     积和式及其应用
短句来源
     THE DISCNSSION OF THE SUM AND THE PRODUCT OF INFINITE INFINITESIMAL
     无限多个无穷小的和、积的讨论
短句来源
     Sum and product of the partition of a set
     划分的和与划分的积
短句来源
     The Sum and Product of the Fuzzy Cardinal Number
     F基数的和与积
短句来源
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  sum of product
This paper deals with the estimation of the scale matrix of a multivariatet-model with unknown location vector and scale matrix to improve upon the usual estimators based on the sample sum of product matrix.
      
Fabrication scheduling on a single machine to minimize the weighted sum of product completion time
      
We perform our discussion based on the sum-of-product form of two-level logic, without loss of generality to its duality, the productof-sum form.
      
These processors are able to implement sum-of-product operations in a very efficient manner.
      
Their first algorithm requires a canonical sum-of-product form for a Boolean functions.
      
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Based upon the charcteristics of the canonical sum-of-products form and its operations of Boolean functions this paper gives the numerical computation of general Boolean functions——minterm-vector operation of Boolean functions——and proposes the concept of minterm-vector algebra. The technique of the minterm-vector method for fault diagnosis in combinational networks is introduced as an application of the minterm-vector algebraic system. This paper is an exploration of approaching numerical algorithm...

Based upon the charcteristics of the canonical sum-of-products form and its operations of Boolean functions this paper gives the numerical computation of general Boolean functions——minterm-vector operation of Boolean functions——and proposes the concept of minterm-vector algebra. The technique of the minterm-vector method for fault diagnosis in combinational networks is introduced as an application of the minterm-vector algebraic system. This paper is an exploration of approaching numerical algorithm of fault diagnosis and provides a new and practical method for computing Boolean differences on computers.

本文从布尔函数的积之和范式以及积之和范式的运算特点出发导出了一般布尔函数间的数值运算——布尔函数的最小项矢量运算,进而提出了最小项矢量代数的概念.作为这个代数系统的一个应用,着重介绍了最小项矢量法诊断组合网络的一般技术,这个方法作为探讨故障诊断算法数值化是一个尝试,同时它又为经典布尔差分法的计算机计算找到了一条可行的新途径.

Based on the disjoint manipulation rules of Bpolean algebra[1], the theorem of disjoint sum of products is presented, and a new disjoint algorithm (Ⅱ) for computing network reliability is proposed, which is suitable for the use of computer, and permits us to solve the problem of reliability computation for large complex networks.

在不交型布尔代数规则的基础上,本文提出了不交型积之和定理,和适于采用计算机的不交型算法Ⅱ,可以解决大型复杂网络的可靠度计算问题。

The monotone sum of product expansions of monotone Boolean functions and its constructive algorithm are presented in this paper. The implementation of the algorithm is very intuitive. Several monotone decomposition theorems of Boolean functions are also given.

本文给出单调布尔函数的一类范式——单调积之和展开式以及构造它的算法,该算法的实现是很直观的。本文还给出布尔函数的两条单调分解定理,他们在组合逻辑综合中开创了新的途径。

 
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