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     Theoretical Study on Virial and Cubic Equations of State for Geological Fluids
     维里型和立方型地质流体状态方程的理论研究
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     Some Problems to Nonlinear Evolution Equations of Higher Order
     非线性高阶发展方程中的几个问题
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     Coordinate Transformation Method for Establishing Dynamic Equations of Multi-rigid-body System and Its Applications
     建立多刚体系统动力学方程的坐标变换法及其应用
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     The Mechanical Quadrature Methods with the High Accuracy and Splitting Extrapolations for Solving Boundary Integral Equations of the First Kind of Scientific and Engineering Problems on Nonsmooth Domains
     非光滑域上科学与工程问题的第一类边界积分方程高精度机械求积法与分裂外推
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     Study on the Existence and Uniqueness of Solutions of the Dynamic Equations of Nonlinear Elastic Bars
     非线性弹性杆动力学方程解的存在性和唯一性研究
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     The Content Equations of Mixed Acids and Bases
     混合酸碱的含量方程式
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     AN ANALYSIS OF THE FINITE ELEMENT METHOD ON NONLINEAR EQUATIONS OF AXIAL SYMMETRY WITH MAGNETIC FIELD DISTRIBUTION
     轴对称非线性磁场分布的有限元分析
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     On Method for Formulating the State Equations of Linear Networks
     关于线性网络状态方程组的形成方法
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     On the Uniqueness of the Solution of the Dirichlet's Problem for the System of the Partial Differential Equations of Second Order with Constant Coefficients
     关于常系数二阶偏微分方程组Dirichlet问题解的唯一性
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     A Qnantitative Relationship between Molecular Structure and Chemical Reactivity Ⅴ——The Equations of the S-Curves for the Percentages of Yield of the Products in a Chemical Reaction
     分子结构与化学活性间的定量关系V——反应百分率S曲线的方程式
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In this paper, we establish maximal Lp-Lq estimates for non-autonomous parabolic equations of the type u'(t)+A(t)u(t)=f(t), u(0)=0 under suitable conditions on the kernels of the semigroups generated by the operators -A(t), t∈[0,T].
      
In this paper we consider the Dirichlet problems of a non-uniformly degenerate elliptic equations of the form div
      
Elliptic H2-volterra projection and the H1-galerkin methods for the integro-differential equations of evolution
      
This paper studiesH1-Galerkin methods for the integro-differential equations of evolution.
      
In this paper, the two and three-point boundary problems (with nonlinear boundary conditions) for the general nonlinear differential equations of fourth order are discussed.
      
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In this paper the writer employs complex Riemannian Geometry and defines the absolute interval between two points as consisting of a real part and an imaginary part. Two postulates (I) and (II) are used: the first may be called law of gravitation and electro-magnetism; the second equation of motion. In the absence of electromagnetic phenomena the theory reduces practically to Einstein's theory.

在此文内,作者利用复变来曼几何以宇宙间两点之距离为一实数及一虚数部分相构而成,於此并用假说:一可称为吸力及电磁定律,一为物体行动定律,解释吸力及电磁力之各种现象。在无电磁现象时,此文与爱因斯坦之吸力理论多相符合至於详细情形,容诸续篇。

The gravitational field and the motion of matter in the universe are investigated according to Einstein's field equations and his dynamical equations of motion. In a spatially isotropic and homogeneous space-time continuum it can be shown that up to about 2x10~8 l.y. the following relation holds between spectrum displacement δλ from distant spiral nebulae and their observa-tionally defined distance d,where A is Einstein's cosmological constant. The first term on the right hand side is essentially Hubble...

The gravitational field and the motion of matter in the universe are investigated according to Einstein's field equations and his dynamical equations of motion. In a spatially isotropic and homogeneous space-time continuum it can be shown that up to about 2x10~8 l.y. the following relation holds between spectrum displacement δλ from distant spiral nebulae and their observa-tionally defined distance d,where A is Einstein's cosmological constant. The first term on the right hand side is essentially Hubble and Humason's velocity-distance relation. The second part is a correction which amounts to 11.5% for d2x10~8 l.y. and hence lies within observational error of the present Mt. Wilson 100-inch telescope. The theory shows that both Milne's recent Newtonian theory of the expanding universe and Lemaitre's interpretation of tha velocity-distance are first order approximations and are valid only within 2xl08 l,y. from our galaxy. The calculation for the phenomsna of nebular recession beyond 2xl08 l.y. to be observed by the 200-inch telescope now under construction according to the present scheme will be presented in the near future.

本文用安因斯坦力学及引力论解释宇宙之膨胀现象。从本文方程式中可证明雷猛德及米恒诸氏之学说皆为本文之近似值,而本文理论之能成立与否须恃200英寸反光镜完成后之观测云。

This paper deals with a method of treating problems of Turbulence from a kinetic point of view. Turbulence "temperature", "pressure", and "entropy" are first defined as state functions, and then the pressure and temperature are incorporated into the equations of motion. Turbulent flows through a circular pipe and between parallel planes are considered in some detail, while the problems of turbulence decay, turbulence structure, and correlation characteristics are briefly discussed. Practically in all cases,...

This paper deals with a method of treating problems of Turbulence from a kinetic point of view. Turbulence "temperature", "pressure", and "entropy" are first defined as state functions, and then the pressure and temperature are incorporated into the equations of motion. Turbulent flows through a circular pipe and between parallel planes are considered in some detail, while the problems of turbulence decay, turbulence structure, and correlation characteristics are briefly discussed. Practically in all cases, the constancy of the turbulence temperature is found to play an important role.

本文系用热性论之观点研讨激流之各项问题。先规定激流之情态函数,如温度压力,熵等,然後将激流温度纳入运行公式内,以求得流速之分布,激流之构造与消灭等情形。自各方面观之,本文之理论结果,大都与事实相符。

 
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