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 Let G = (Vi,V2;E) be a bipartite graph with Vi = V2 = n>2k, where k is a positive integer. 特别地，若G=(V_1，V_2；E)为二部图，且|V_1|=|V_2|=n≥2k，k为任一正整数。 短句来源 Let S(G) be the family of subtrees of a simple graph G,and γ01,γ10,Sγ01 and Sγ10 be,respectively,the vertex -edge weak domination number,the edge-vertex weak domination number,the vertex-edge strong domination number and the edge-vertex strong domination number. 设S（G）为任一简单图G的子树的集合，γ01，γ10，，Sγ01，Sγ10分别为图的点－边弱支配数。 短句来源 A correction is given to the necessity of the conclusion that space X is Lindelf space if and only if any subset A of X with |A|≥ω_1 has a complete accumulation point. 对结论“空间X为Lindelo¨f空间的充要条件为任给X的子集A,若|A|ω1,则A有完全聚点.” 的必要性进行了更正. 短句来源 If for each f∈F,the zeros of f are of multiplicity ≥k+1, the poles of f are of multiplicity,and f(z)=b whenever f~((k))(z)=a,then F is normal in △. k为任一正整数,若对每一f∈F,f的零点重数均≥k+1,极点重数均≥2.以及当f(k)(z)=a时,f(z)=b. 则F在单位圆盘△内正规. 短句来源 A contatins the power P~a of P_-~* number p, and a_i≠a_jp~k for any a_i and a_j in A where kis a any positive integers. Keywords:BCK-algcbra; P_-~* number; A中含一个P_-数P的幂P~*,且对A中任二互异的数a_i与a_j有a_i≠a_j P~k,其中k为任一正整数。 短句来源 更多
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 The Impression of Ren Zaiming 任在鸣印象 短句来源 H.J.Ren 任鸿隽 短句来源 Wang Si-ren's Personality and Literary Works 王思任为人及为文 短句来源

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 On the basis of the necessary and sufficient condition of compactnessthat any net has a cluster point,this article has given a haw proof ofclassical Tychonoff theorem. 从紧性的充要条件为任一网必有丛点出发,本文给出了经典的Tychonoff 定理的一个新证法。 Suppose that г(z) is a г-function, ζ(s) a Riemann zeta-function, and s any positive integer greater or equal to 2, then:From this it is not difficult to deduce the following formulae: 假设Γ(s)为嘎玛函数,ζ(s)为黎曼才塔函数,s为任一正整数,且s≥2,则有: 由此不难推出公式: An extensive investigation of plant height and its components was made on22 species and subspecies of small grains(involving 100 varieties of commonwheat and relatives of wheat)in 1980—1982.It was found that the proportions of peduncle length to the total length ofpeduncle and the second internode,and any other internode length to the totallength of it and its adjacent lower internode of the same plants kept almostconstant,and that these proportions in cultivated species were higher thanthose in the wild ones,and... An extensive investigation of plant height and its components was made on22 species and subspecies of small grains(involving 100 varieties of commonwheat and relatives of wheat)in 1980—1982.It was found that the proportions of peduncle length to the total length ofpeduncle and the second internode,and any other internode length to the totallength of it and its adjacent lower internode of the same plants kept almostconstant,and that these proportions in cultivated species were higher thanthose in the wild ones,and in common wheat,those of modern varieties werehigher than those of the old ones.This proportion may be an indication ofartificial evolution.The varietal differences in this proportion of wheat were highly significant,and highly significant correlations between this proportion and yield,and yieldcomponents existed among 81 varieties.As this proportion did provide infor-mation as to whether the genotypes possess rational components of plant heightand plant type for yielding capacity,we have denominated this proportion theplant height component index.It was found that this index of higher yieldingvarieties of wheat is coincident with the proportion of golden-section(0.618).Thus,we have proposed the following empirical formula for the calculaction ofthe length of any internode:Ln=L×0.618~((n+1))Where L=plant height,n=sequence number of node,and Ln=length of nthinternodeIt may be suggested that through planned breeding experiments,selection for types with a higher value of plant height component index(close to or above 0.618)should be effective for upgrading their yield potentials. 对各种类型的小麦品种、小麦属的其他种及其近缘植物以及其他的禾谷类作物的株高及其节间长度经广泛调查合作了分析,分析结果表明,这一类植物上下节间长度是有一定比例的,作者称这种比例关系为株高构成指数。设株高构成指数(Ⅰ)为任一节间长度与该节间加其下一节间长度之和的比值,则现代小麦品种类型的Ⅰ值趋近于“黄金分割”比值——0.618,而野生禾本科植物的Ⅰ值低于此值。这很可能是对产量性状进行人工选择后的间接效应。较高的Ⅰ值是抗倒伏和合理利用光源的标志.对普通小麦81个品种材料所作的遗传分析表明这一性状的遗传力较高,性状稳定,与产量有着极显著正相关,而且品种间差异显著.从而推论,以现代栽培小麦的平均Ⅰ值为基准,对高于0.618的Ⅰ值进行选择,将有助于产量潜力的提高。作者提出下列经验公式描述现代小麦品种的标准株高结构型,并以此作为选择的尺度.Ln=L·0.618~((n+1))L=株高;Ln=第 n 节间长度n=由上而下的节位根据上式,测得株高,便可推得任何一节间长度之理论值.以1981和1982两年的资料计算得到之理论值经 t 测验证明完全符合实测情况。 << 更多相关文摘
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