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1)  descartes straight-integral
笛卡尔直积
2)  Cartesian product
笛卡尔积
1.
Crossing numbers of cartesian products of stars with 5-vertex graphs
五阶图与星图的笛卡尔积交叉数
2.
The relation between the Cartesian product and authentication codes is studied in this paper.
该文研究了笛卡尔积与认证码的关系,根据笛卡儿积的结构特点,提出了一种将认证符信息嵌入到编码规则的思想,从工程应用的角度实现了基于笛卡尔积的各阶欺骗概率相等的最优Cartesian认证码的构造,并给出了基于笛卡尔积和拉丁方的各阶欺骗概率相等的安全认证码的构造方案。
3.
Through the analysis of the second power Cartesian product of natural number set N——N×N and the thirdpower Cartesian product of natural number set N——N×N×N,obtains the conclusion that they all have the bijective relation to natural number set N,it means that the set N×N and the set N×N×N are all countably infinite.
通过对自然数集合N的二次笛卡尔积运算———N×N和三次笛卡尔积运算———N×N×N的详细分析,得出了它们与自然数集合N之间都存在双射关系结论,即集合N×N和集合N×N×N都是可数无穷的。
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3)  Cartesian products
笛卡尔积
1.
It is proved that the crossing number of Hn is Z(5,n)+n+n2], and the crossing number of Cartesian products of W4 and K1,n is Z(5,n)+2n+n2].
证明了Hn的交叉数为Z(5,n)+n+﹂2n],并在此基础上证明了轮W4与星K1,n的笛卡尔积的交叉数为Z(5,n)+2n+﹂2n]。
2.
LetG1×G2 be the cartesian products of G1 with G2,V(G1×G2)=V(G1)×V(G2),E(G1×G2)=｛(u1,u2)(v1,v2)｜u1=v1 and u2v2∈E(G2),or u2=v2 and u1v1∈E(G1)｝.
两个图G1和G2的笛卡尔积图G1×G2是这样一个图:V(G1×G2)=V(G1)×V(G2),E(G1×G2)={(u1,u2)(v1,v2)|u1=v1且u2v2∈E(G2),或者u2=v2且u1v1∈E(G1)}。
3.
In this paper,we prove the crossing number of Cartesian products of W_5 with S_n is 6「n/2」「(n-1)/2」+2n+3「n/2」+3「n/2」(「x」denotes the maximum integer that is no more than x),also we abtain the crossing numbers of Cartesian products of some sungraph of W_5 with S_n.
目前,对于六阶图与星图笛卡尔积的交叉数知之甚少。
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4)  Cartesian product graph
笛卡尔积图
1.
In this paper,we proved that the total chromatic number and adjacent strong edge chromatic number of Cartesian product graph of cycle Cm and cycle C5n.
证明了圈Cm与圈C5n的笛卡尔积图的全色数和邻强边色数都为5。
2.
We study the star-edge coloring of Cartesian product graphs of some special classes of graphs, obtain the chromatic index ofP_m口P_n、P_m口C_n、P_m口S_n、P_m口F_n、P_m口W_n.
研究了若干笛卡尔积图的星边染色,并分别得到了P_m口P_n、P_m口C_n、P_m口S_n、P_m口F_n、P_m口W_n的星边色数;2。
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5)  Cartesian product
笛卡尔积图
1.
A complete characterization for the(2,1)-total labelling numbers of the Cartesian product of two cycles and the Cartesian product of two paths was given.
刻画了圈与圈、路与路笛卡尔积图的(2,1)-全标号数。
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6)  Cartesian product codes
笛卡尔积码
1.
According the definition of the generalized Hamming weights, the relation between the Cartesian product codes and old codes C1,C2 is analyzed,give out the generalized Hamming weight s the expression for the C1,C2,then we can give the generalized Hamming weight s expression for the cartesian product.
根据广义Hamming重量的定义,分析了笛卡尔积码与旧码C1、C2的广义Hamming重量的关系,给出C1、C2的广义Hamming重量的表达式,则可给出笛卡尔积码广义Hamming重量的表达式。
补充资料：武溪笛
1.汉马援门生爰寄生善吹笛，马援作《武溪深》和之，叹水深湍急，涉渡艰难。后用为赠别之曲。
说明：补充资料仅用于学习参考，请勿用于其它任何用途。
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