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     Hence G(8)=1, G(10)= 2. with two different mothodes we obtain two results as fallows: Result 1.Let a≥18,a=2n.
     若一偶数 a 有 r 个表达式,就用 G(a)=r 表示之,故 G(8)=1,G(10)=2.本文用两种方法求出两种结论如下:结论1.设 a≥18是偶数,a=2n.
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     Let G(V,E) be a graph,a k proper coloring f is called a k equitable coloring of G(V,E) if f[i]-f[j]≤1(i,j=1,2,…,k), where f[i]={vv∈V(G) and f(v)=i},f(v) denotes the color of vertex v∈V(G).
     对图G(V ,E) ,若一正常k 染色f使得f[i]-f[j]≤ 1(i,j=1,2 ,… ,k) ,其中f[i]={vv∈V(G)且f(v) =i} ,f(v)表示顶点v的色 ,则称f为G(V ,E)的k 均匀染色 .
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     Nymph 1' s size is 133.1 +16.2x 112.3 + 14.4um, oral or round in shape, 8 feet, without seta at the bottom of the body.
     若一螨椭圆形或近圆形,大小为133.1±16.2×112.3±14.4μm,4对短足,体末端无刚毛。
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     Then it is proved that if the variance of one-dimensional distribution F(x) and G(y) are non-zero and finite then the set of correlation coefficient of all random vector (X, Y) which has marginal distribution F and G is closed interval [a, b], -1≤a
     然后证明了若一维分布F(x)和G(y)的方差非零且有限,则一切以它们为边缘分布的随机向量(x, y)的相关系数组成的集合是闭区间〔a, b〕,-1≤a
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     The results confirmed if one expect to raise performance of a overt response Ri(R∈Ri | i=1,2,...,n)in alternative responses R, then it is necessary to reduce the average complexity of the operation of the group R.
     本文在分析人类一般工程操作活动的基础上 ,概括出人类操作活动的实验模型为交叠作业模型 ,进而 ,经实验证实 :在人机操作界面设计中 ,若一次S→R过程中有一选择反应作业的反应集为R ,且信号识别条件相等 ,如果只降低某一操作Rj (R Rj|j=1,2 ,...,n)的复杂度不能提高Rj 的绩效 ;
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     《Lvshichuqiu · Lust page 》Load:"......Five times of desire ofthe ear, five colors of desire of the eye, the five flavours of desire of the mouth, even feeling. Three them, high and low foolish virtuous unworthy one , legendary god of farming , emperor their and Jie , Zhou that want intelligently are like each other. "
     《吕氏春秋·情欲篇》载:“……耳之欲五声,目之欲五色,口之欲五味,情也。此三者,贵贱愚智贤不肖欲之若一,虽神农、皇帝其与桀、纣同。”
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     Then it is proved that if the variance of one-dimensional distribution F(x) and G(y) are non-zero and finite then the set of correlation coefficient of all random vector (X, Y) which has marginal distribution F and G is closed interval [a, b], -1≤a
     然后证明了若一维分布F(x)和G(y)的方差非零且有限,则一切以它们为边缘分布的随机向量(x, y)的相关系数组成的集合是闭区间〔a, b〕,-1≤a
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There are one way or several ways to express an even number as a sum of two primes.For instance,8 is equal to 3+5, 10 may be expressed as 3+7 and 5+5.In this work 3+5 and 3+7,5+5 are called expressions of 8 and 10.when an even num- ber a has rexpressions,then we write G(a)=r.Hence G(8)=1, G(10)= 2. with two different mothodes we obtain two results as fallows: Result 1.Let a≥18,a=2n. when 6|a,then G(a)>n/(log~2n), when 6(?)a,then G(a)>n/(2log~2n). Result 2.Let a≥6. When 6|a,then G(a)>a/(2log~2a), When 6(?)a,then...

There are one way or several ways to express an even number as a sum of two primes.For instance,8 is equal to 3+5, 10 may be expressed as 3+7 and 5+5.In this work 3+5 and 3+7,5+5 are called expressions of 8 and 10.when an even num- ber a has rexpressions,then we write G(a)=r.Hence G(8)=1, G(10)= 2. with two different mothodes we obtain two results as fallows: Result 1.Let a≥18,a=2n. when 6|a,then G(a)>n/(log~2n), when 6(?)a,then G(a)>n/(2log~2n). Result 2.Let a≥6. When 6|a,then G(a)>a/(2log~2a), When 6(?)a,then G(a)>a/(4log~2a). By means of comparison we find that the difference between the two results is rather small,but their resemplance is of chief Impor- tance.

把一偶数表为二质数之和可有一种或多种表示法.如8可表为3+5,10可表为3+7和5+5。文中把3+5和3+7,5+5叫着表达式.若一偶数 a 有 r 个表达式,就用 G(a)=r 表示之,故 G(8)=1,G(10)=2.本文用两种方法求出两种结论如下:结论1.设 a≥18是偶数,a=2n.若6|a,则 G(a)>n/(log~2n),若6(?)a,则 G(a)>n/(2log~2n).结论2.设 a≥6是偶数.若6|a,则 G(a)>a/(2log~2a),若6(?)a,则 G(a)>a/(4log~2a).对于两个结论作了此较,它们实际上是大同小异.

According to Noether's theorem in field theory,if a system is invariant under a given group of unitary transformation,then there follows from this sym- metry the conservation of a certain mechanical observable of this system.Assuming that the observable is kept constant,the process will be allowed,otherwise it will be forbidden.The observable corresponding to point symmetry is called pointy and should comply with the corresponding conservation rule,i.e.,the Conservation of Pointy,in accordance with which the...

According to Noether's theorem in field theory,if a system is invariant under a given group of unitary transformation,then there follows from this sym- metry the conservation of a certain mechanical observable of this system.Assuming that the observable is kept constant,the process will be allowed,otherwise it will be forbidden.The observable corresponding to point symmetry is called pointy and should comply with the corresponding conservation rule,i.e.,the Conservation of Pointy,in accordance with which the nature of the Conservation of Orbital Sym- metry can be analysed in detail. The pointy(the invariant connected with point group)and the correlative con- servation rules have been discussed.In Part Ⅱ,the groups in connection with the transformations of the union of point and reaction-reversal and with space trans- formations are analysed end the conservation rules corresponding to these groups established,A new symmetry involved in sigmatropic and other reactions will also be disclosed.

按场论中的Noether原理,若一相互作用体系在某一么正变换群下不变,那未由此对称性必导致体系的某力学观察量的守恒性,若此观察量保持恒定,过程将被允许,否则被禁阻,点群对称性相应的守恒量称为点称,它遵守相应的守恒规则——点称守恒.从而轨道对称性守恒原理的本质可被较详细地讨论.本文是作者近几年来用中文发表的一系列论文的综合和补充.

Let (Ω,??) be a measurable space, ??_1 and ??_2 two measurable partitions of Ω.We denote by ??_2≥??_1 the fact that,??_2 is a retinement of ??_1.Then the class of all partitions is an upward directed set.??et ψ be a set function defined on ??, and ??=0.For each B∈?? and each partition??, put S_ρ(B,??)=??(BA).If the limil exisls and is finite, we say that cp is intograble on B, and I_ψ(B) is callecd the integral of cp on B. Let μ be a finite measure on ?? If for arbitrary ε>0 there exists δ>0 such that for each...

Let (Ω,??) be a measurable space, ??_1 and ??_2 two measurable partitions of Ω.We denote by ??_2≥??_1 the fact that,??_2 is a retinement of ??_1.Then the class of all partitions is an upward directed set.??et ψ be a set function defined on ??, and ??=0.For each B∈?? and each partition??, put S_ρ(B,??)=??(BA).If the limil exisls and is finite, we say that cp is intograble on B, and I_ψ(B) is callecd the integral of cp on B. Let μ be a finite measure on ?? If for arbitrary ε>0 there exists δ>0 such that for each B∈?? with μ(B)<δ there exists a partition ??_0 such that for every ??≥??_0 we have |S_ρ(B,??)|<ε, then we say that ρ is absolutely continuous with regard to μ. It is shown in this paper: 1) If ρis integrable on Ω and absolutely continuous with regard to μ, then for each B∈??,ρ is integrable on B, and I_ρ (B) is an extended measure on ?? and absolutely continuous with regard to μ.2) If a sequence of partions ??_n, n≥1, satisfies the following conditions: (i) for arbitraryε>0 there exists an integral N such that for each??≥??_N, we have and(ii)σ(??)=??,them

设(Ω,??)是一可测空间.??与??是Ω的两个可测分割,记??≥??,若??是??的加细.分割全体按此半序为向上定向集.设ρ为定义在??上有集限函数,ρ(Φ)=0.对任一B∈??及分割??,记Sφ(B,??)=??ρ(BA).若极限存在且有限,则称ρ在B上可积,I_φ(B)为φ在B上的积分.设μ为??上的有限测度,称ρ关于μ绝对连续,若对任意ε>0,存在δ>0,使得对任一B∈??,如μ(B)<δ,必存在分割??,使对任意??≥??,|S_φ(B,??)|<ε. 本文证明了:1)若ρ在Ω上可积,ρ关于μ绝对连续,则对任一B∈??,φ在B上可积,且积分I_φ(B)为??上的有限广义测度,I_φ关于μ也绝对连续.2)若一列分割??满足条件,(i)对任意ε>0,存在正整数N,使??≥??时有|S_φ(Ω,??)-I_φ(Ω)|<ε及(ii)σ(??)=??,则

 
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