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1.关于实数的基本定理 子列 定义1在数列{xn}中,保持原来次序自左至右任一选区无限多项,构成新的数列,就称为(x}的子列,记 为 子列的极限和原数列的极限的关系 定理1若imx=a,则{x}的任何子列}都收敛,并且它的极限也等于a 注:该定理可用来判别{xn}不收敛。 例:证明{sin}不收敛
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1 开集减闭集的差集是开集, 闭集减开集的差集是闭集 证明:利用A-B=A∩Bc , 开集的余集是闭集,闭集的余集是开集, 以及有限个开集的交仍是开集, 有限个闭集的交仍是闭集即得
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1无穷限的广义积分 定积分f(x)dx有两个明显的缺陷:其一,积分区间a,b是有限区间;其二,若f∈Rab,则 3>0,使得对于任意的x∈[a,b],f(x)M(即有界是可积的必要条件)
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Strategic Management Journal is currently published by John wiley sons Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/about/terms.htmlJstOr'sTermsandConditionsofUseprovidesinpartthatunlessyou have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive only for your personal, non-commercial use
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Two stimulating and innovative papers by Morrill were concerned with waves of spatial diffusion.(Morrill,[1, 2 )The purpose of the first was to propose some insights and interpretations which can be obtained by characteriz ive-like phend Morrill scopic and theoretical implications of such a conceptualization. He was concerned with both time and distance, and noted that in earlier conceptualizations more emphasis had been placed on de ecay re elated to time than on that related to distance. He therefore hypothesized that the number of innovations would de-
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The diffusion of new products and new processes of production within and between business enterprises is clearly one of the fundamental aspects of the process of growth and transformation of contemporary economies It is well known that the diffusion of new products and processes takes varying lengths of time: some economic agents adopt very early after the development of an innovation while others sometimes do it only after decades
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一.隐函数存在定理 1.设函数F(x,y)满足 (1)在区域D:x-a≤x≤x+a,y-b≤y≤y+b上连续 (2)F(x,y)=0 (3)当x固定时,函数F(x,y)是y的严格单调函数 则可得到什么结论?试证明之
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.下列函数的极大值点和极小值点: (1)f(x,y) (2)f(x,y)=3axy-x3-y2(a>0) (3)f(x,y) (a,b>0) (4)f(x,y)=e2(x+y2+2y)
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Then =1-91=1(3+:2)(3+2n 可=-1-3)=1(4-+2)(1-2+a With 1 0 O: Thus, in equilibrium, we must have ai=.2. In fact, the two firms must sit in the middle By Proposition 2.1, Pi=p?=c Discussion
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1.求下列用极坐标表示的曲线所围图形的面积 (1)双纽线r2=a2cos2g (2)三叶玫瑰线r=asin3q (3)蚌线r=acos日+b(b≥a)
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