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    Fredholm equation is an important research subject in integral equation and the existence of solution is the important research content. The theorem of existence determination about the solution of Fredholm integral equation is given by using Daher theorem.
    Fredholm型方程是积分方程的重要研究对象,解的存在性是它的重要研究内容,用Daher定理给出Fredholm型积分方程解的存在性判定定理.
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    Third,a nonlinear programming model is given for the coexistence of multi-prices on the basis of the convex function model.
    再次,在凸需求函数模型下给出多种价格并存的非线性规划模型.
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    And the explicit expressions of the solutions are obtained by assuming D(λ)≠0 and |M|≠0.At last an example is given.
    在D(λ)≠0且|M|≠0的条件下,得到解的显式表达式. 最后给出一个具体的例子.
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    Conclusion A recursion arithmetic method is given to compute the Hosoya index of a tree.
    结论给出了树的Hosoya指标的一种递归计算方法。
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    The greatest strong P-congruence with P-trμN=πN on weakly P-inversive semi-groups S(P) is described and an abstract characterization of characteristic kernel normal system for S(P) is given.
    刻画了弱P-反演半群S(P)上满足P-trμN=πN的最大的强P-同余; 给出了S(P)上的特征核正规系的一种抽象刻画.
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    Using the decompositions of Bezout matrix,resultant matrix and Hankel matrix,the authors get several new properties of these matrices above,which give the matrix expressin of coprime polynomials and supply a new method in dealing with polynomial problems.
    利用Bezout矩阵、结式矩阵与Hankel矩阵的分解得到了它们的几个新性质,给出了多项式互素的矩阵描述,为处理多项式问题提供了一种新方法。
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    We study the approximation rate of functions of the Hω class and the Hω1 class by biharmonic Abel-Poisson operator,and give the upper and lower bound estimate of E(Hω,r) and E(Hω1,r).
    讨论双调和Abel-Poisson算子对函数类Hω和H1ω的逼近速度,给出E(Hω,r)和E(H1ω,r)的上下界估计.
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    In this paper,we give the definition of an(∈,∈∨q(λ,μ))-convex fuzzy set and discuss some of the fundamental properties of such convex fuzzy set.
    给出(∈,∈∨q(λ,μ))-凸模糊集的定义,讨论它们的一些基本性质。
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    In this paper,we give two new sufficient and necessary conditions for Banach spaces to be K-strictly convex by using Hahn-Banach continuation theorem and the number which is similar to K-dimensions volume.
    利用Hahn-Banach延拓定理或与K-维体积相似的数给出了Banach空间K-严格凸的两个新的充要条件。
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    As a part of the author's work of enumerating the edge-forwarding indices of Frobenius graphs,I give a class of valency four Frobenius graphs derived from the Frobenius groups Z_(2n~2+2n+1)■Z_4.Following the method of X. G. Fang,C.
    本文给出了Frobenius群Z_(2n~2+2n+1)■Z_4的一类四度Frobenius图.沿用方、李和Praeger的方法,计算出了这一类图的直径和型(定理3.2).
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    We gave the characterizations of least extremal solutions of a linear inclusion y∈A(x) by the method of the orthogonal generalized inverse,it is necessary sufficient that u=A#(y).
    运用广义逆方法给出了u∈X为线性包含y∈A(x)的最佳逼近解的充分必要条件是u=A#(y).
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    Gave the SK value of player i at each dot in time serial T = { t0 , t1, ...,tn}.
    给出局中人在时间序列集T={t0,T1,…,tn}中每一点的SK值。
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    In 1973,two great financial thcoristcs and practiccrs Fisher Black and Myron Scholes published their famous paper " The Pricing of Options and Corporate Liability " which gave the the Black-Scholes formula,an explicit formula of the pricing of European Option .
    1973年,两位伟大的金融理论家与实务家Fisher Black和MyronScholes发表了他们的著名论文“期权定价与公司债务”(The pricingof options and corporate liability),给出了欧式期权定价的显式表达式,即著名的Black-Scholes公式。
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    Furthermore, in 1996, Yen [47] gave an estimate of the number n_1 satisfying that for q-hypergeometric identitiesif the equality holds for all n ∈ {n_0,n_0+1, …,n_1} then∑_kF(n,k) =1 for all n≥n_0, as a polynomial of degree 24 in the parameters of F(n, k).
    sum from k F(n,k)=1,n≥n_0给出了n_1的一个相当于F(n,k)的参数的24次方的估计,其中n_1满足如果上述恒等式对n∈{n_0,n_0+1,…,n_1}成立,那么恒等式对所有的n≥n_0成立。
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    After imposing a bounded assumption on the mean parameter, Ghosh andSen (1985) gave the first asymptotic distribution of the LRT.
    1985年,Ghosh和Sen在假设均值参数有界的前提下,给出了LRT的第一个渐近分布。
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    Based on the experiment and theory analysis, we give out the fatigue reliability curve of these two kinds of materials to provide bases for engineering.
    通过上述试验研究与理论分析,给出WH530和WH610D2两种钢材的疲劳性能参数,并给出这两种钢材的疲劳可靠性曲线,为工程应用提供依据。
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    4. This paper takes Microsoft Visual Basic's 6.0 languages as the base, unites the problem the establish pattern and give out the entire algorithm realization flow, so supply the convenience for analogous problem research in the practice.
    4.以Microsoft Visual Basic 6.0语言为基础,结合所建立的问题模型,给出了整个算法的实现流程,对以后在实际中类似问题的研究提供了方便。
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    Fermat,P. de put forward a conjecture: The numbers which satisfied F_n = 2~(2~n) +1 are all prime. But he didn't give out a complete proof.
    费马(Fermat,P.de)提出一个猜想:形如F_n=2~(2n)+1(称为费马数)的数一定为素数,但他并没有给出一个完全的证明。
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    Then we give out a new characterization of von Neumann regular rings by means of P-flat modules and character modules.
    用P-平坦模与正则环和特征模的联系,给出了von Neumann正则环一种新刻画。
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    The main result of this paper is that we give out the constructive proofs of the Lebesgue decomposition theorem and Radon-Nikodym theorem by means of Hahn's decomposition theorem.
    本文的主要结果是借助于Hahn分解定理给出了Lebesgue分解定理和Radon-Nikodym定理的一种构造性证明。
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      is given
    In the case of 4-dimensional anticommutative algebras a construction is given that links the associated cubic surface and the 27 lines on it with the structure of subalgebras of the algebra.
          
    In the case of 3-dimensional commutative algebras a new proof of a recent theorem of Katsylo and Mikhailov about the 28 bitangents to the associated plane quartic is given.
          
    A characterization of the complexity of a homogeneous space of a reductive groupG is given in terms of the mutual position of the tangent Lie algebra of the stabilizer of a generic point of and the (-1)-eigenspace of a Weyl involution of.
          
    A representation of a quiver is given by a collection of matrices.
          
    In the spirit of work of Kerman and Sawyer, a condition is given that is necessary and sufficient for the Fourier transform norm inequality
          
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    We also show how to distinguish examples of open subsets with a good quotient coming from Mumford's theory and give examples of open subsets with non-quasi-projective quotients.
          
    In particular, we give a detailed description of these sets in terms of cross-sections inside maximal R-tori ofH.
          
    We develop methods that give rise to natural monomial bases for such rings over their ground fields and explicitly determine precisely which monomials are zero in the ring of coinvariants.
          
    We give explicit systems of generators of the algebras of invariant polynomials in arbitrary many vector variables for the classical reflection groups (including the dihedral groups).
          
    We also compute the Euler characteristic of the space of partial flags containingnt and give a connection with hyperplane arrangements.
          
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      gave
    Tits gave a construction of exceptional Lie algebras (hence implicitly exceptional algebraic groups) and a classification of possible indexes of simple algebraic groups.
          
    Meisters and Peterson gave an equivalent condition under which the multisensor deconvolution problem has a solution when there are two convolvers, each the characteristic function of an interval.
          
    The regression analysis has shown that equalized electronegativity is a good parameter which in combination with topological indices and an indicator parameter gave excellent model.
          
    Additional ab initio calculations performed at 6-31G** gave a ΔE (Z - E) on the order of 3 kcal/mol.
          
    Yang et al gave some criteria of prequasi-invex functions, semistrictly prequasi-invex functions and strictly prequasi-invex functions in 2001, under a certain set of conditions.
          
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    The method overcomes the discontinuity of the nonuniform evaluation given in the literature referred and can give out satisfactory numerical results.
          
    We also give out suggestions to diminish the proposed problems.
          
    In addition, the brief prospect on the research of functional genes of tea plants in the near future is also give out.
          
    Furthermore, we give out the explicit forms of the n-soliton surface of the Nonlinear Schrodinger Equation (NLS) by the determinant of eigenfunctions.
          
    For both symmetric or skewsymmetric matrices A and B, we shall give out the explicit general solutions of this equation by using the notions of eigenprojections.
          
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    ~~

    本文对現有的有防渗設备的土埧設計方法做了簡略的評述,并指出这些方法均存在与实际情况有出入的假設,因此过高或过低估計防渗設备的作用。作者应用了貝塞尔函数理論对有限深透水基上的心牂舖盖埧及斜牂舖盖埧提出新的符合实际情况的設計方法。同时在滿足工程計算足够精确的要求下,作者提出了简化的解答。計算指出,用簡化解进行工程計算是完全允許的,它与精确解答很接近,其誤差在2%左右。除此以外,本文对沿长度变坡度的舖盖埧給出计算公式。本文最后对舖盖埧的设计也提出了某些建議。

    A Le Corbeiller oscillator having the Goodwin characteristic is one of the simplest two-stroke oscillator model, its periodic process was discussed by Le Corbeiller and de Figueiredo with the help of Lienard construction-a graphical method[5] in [1] and

    本文利用接合法,研究了具有Goodwin特性的Le Corbeiller二拍振荡器模型。并由点变换及后继函数的理论,找到了这个系统具有周期解,且解为唯一的及稳定的条件。给出了周期解的波形及周期的表达式。

    The method of decomposition[1][2]is used for computing the buckling

    本文用分解计算薄膜张力作用和力矩作用的方法[1][2],确定圆锥形壳体在侧压和均布液压作用下的稳定临介值。讨论了锥壳的各种结构情况(小锥度或任意锥度,截顶壳与完整壳)。由于所用介法属于分析法性质,故没有目前常用的直接法需选取容许挠曲函数的困难(这在锥壳问题上甚为突出),且计算亦不复杂,尤其对于工程上常用的小锥度截顶壳可给出很简便的介法。给出了数例结果,并与其他学者的计算和实验作了比较。

     
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