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    TOPOLOGICAL STRUCTURE OF INTEGRAL CURVES OF THE DIFFERENTIAL EQUATION (dy)/(dx)=(ax~3+bx~2y+cxy~2+dy~3)/(a_1x_3+b_1x~2y+c_1xy~2+d_1y~3)
    微分方程(dy)/(dx)=(ax~3+bx~2y+cxy~2+dy~3)/(a_1x~3+b_1x~2y+c_1xy~2+d_1y~3)的积分曲线的拓扑结构
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    ON THE DIOPHANTINE EQUATION(a~2-b~2)~x+(2ab)~v=(a~2+b~2)~2
    关于丢番都方程(a~2-b~2)~x+(2ab)~v=(a~2+b~2)~2
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    THE FINITE ELEMENT ANALYSIS FOR NONLINEAR CONSERVATIVE HYPERBOLIC EQUATION
    非线性双曲型守恒方程(组)的有限元分析
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    ON THE ANALYTIC SOLUTION OF CAUCHY'S PROBLEM OF EQUATION ~(2)u/t~2+u/t=Du+(z)
    关于方程(()~2u)/(()t~2)+(()u)/(()t)=Du+()(z)的柯西问题解析解
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    THE GLOBAL STRUCTURE OF TRAJECTORY OF THE DIFERENTIAL EQUATION (dX)/(dt)=-y+dx+mxy-y~2(dy)/(dt)=x(1+ax)
    方程(dx)/(dt)=-y+dx+mxy-y~2,(dy)/(dt)=x(1+ax)的轨线的全局结构
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  “方程(”译为未确定词的双语例句
    The Basic Theory of Stability of Functional Differential Equations.
    泛函微分方程(超中立型)稳定性的基本理论
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    NONLINEAR DIFFERENTIAL EQUATIONS IN ELECTRON BEAM FOCUSING THEORY(Ⅱ)
    电子注聚焦理论中所出现的非线性微分方程(Ⅱ)
短句来源
    COMPARISON THEOREM AND STOCHASTIC DIFFERENTIAL EQUATIONS (1)
    比较定理与随机微分方程(Ⅱ)
短句来源
    NONLINEAR DIFFERENTIAL EQUATIONS IN ELECTRON BEAM FOCUSING THEORY (Ⅱ)
    电子注聚焦理论中所出现的非线性微分方程(Ⅱ)
短句来源
    COMPARISON THEOREM AND STOCHASTIC DIFFERENTIAL EQUATIONS (1)
    比较定理与随机微分方程(Ⅰ)
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For these polynomials we prove an integral representation, a combinatorial formula, Pieri rules, Cauchy identity, and we also show that they do not satisfy any rationalq-difference equation.
      
The Yang-Baxter equation admits two classes of elliptic solutions, the vertex type and the face type.
      
The inverse conductivity problem to the the elliptic equation ${\rm div}((1+(k-1)\chi_D)\nabla u)=0\ {\rm in }\ \Omega$ is considered.
      
As applications, the wave equation on?+ × ?+ and the heat equation in a semi-infinite rod are considered in detail.
      
Pointwise fourier inversion: A wave equation approach
      
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In this paper some cases of optimum control are studied when the conditions at the ends of trajectories are constrainted. The boundary conditions of the system of the differential equations (19), (22), etc. are determined; the formulae of functional variation (20) are derived; and the sufficient conditions of optimality and necessary conditions in some cases are proved.

当軌线末端受有条件限制时,将使最优控制系統有关的微分方程的边界条件变得复杂。本文考虑了各种受限情形,提出了确定边界条件的方法,得到泛函改变量公式,討論了控制最优性的充分条件以及在某些情形下的必要条件。

Single storied industrial buildings composed of steel trusses and reinforced-concrete columns are very common. As the upper joints are hinged, the stresses in the columns are not influenced by the elastic properties of the trusses; while the upper joints are rigid, methods of analysis are usually based on the assumption that the moment of inertia of a steel truss may be taken as equivalent to that of a beam. In this paper, the author making use of the principle of least work reviews the equations for calculating...

Single storied industrial buildings composed of steel trusses and reinforced-concrete columns are very common. As the upper joints are hinged, the stresses in the columns are not influenced by the elastic properties of the trusses; while the upper joints are rigid, methods of analysis are usually based on the assumption that the moment of inertia of a steel truss may be taken as equivalent to that of a beam. In this paper, the author making use of the principle of least work reviews the equations for calculating the angle-changes at the ends of a truss, and then illustrates their applications with two practical examples: one with flat roof and the other with gabled-roof. They are solved respectively by the method of slopedeflection for the cases of no-sidesway, sidesway-correction and sidesway included by solving the elastic equations of unit deformation. The results are compared with those obtained with usual assumptions.

單層廠房採用鋼架砼柱之混合結構,極為普遍,上端鉸結時柱之應力並不受桁架彈性常數之影響,上端剛結時之分析方法,對於鋼架之截面慣矩每予假定,並代之以假想變梁,本文作者用最小功能定律以求計算桁架兩端角變常數之公式;再取二實例:一平頂屋架,一脊式屋架,用角變位移法分就無側欹、侧欹校正及單位變位彈性方程解三步驟解出共結果,與一般假定方法所得相互比較。

In this paper, the author proves that the generalized Newton's method for finding me roots of an algebraic equation converges to the root, real or complex, nearest to the starting point. A tabulation method is then devised and used in four illustrative examples.

在本文内,作者首先证明了求代数方程根的推广牛顿法收敛于离出发点最近的一个根,其次设计了一种简单的列表计算法,最后通过四个例题说明用这种方法可以逐步接近代数方程的实根或复根。

 
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