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  solution
     The Solution of Elasticity Theory with Different Modulus in Tension and Compression and Settlement Calculation of Piles
     拉压模量不同弹性理论及桩基沉降计算
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     δ-Viscosity Solution, Blow up Solution and Global Solution of Multidimensional Landau-Lifshitz Equations
     多维Landau-Lifshitz方程的δ型黏性、Blow up和整体
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     Applications of Spline Functions and Wavelets on Numerical Solution of PDEs
     样条函数与小波函数在偏微分方程数值中的应用
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     Study on Exact Solution and Integrability of Nonlinear Evolution Equation with Symbolic Computation
     非线性演化方程的精确与可积性及其符号计算研究
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     The Finite Difference Scheme and Global Regular Solution for Landau-Lifshitz Equation
     Landau-Lifshitz方程的有限差分格式与整体正则
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  solutions
     Existence of Periodic Solutions and Regularity of Global Attractors for the Derivative Ginzburg-Landau Equations
     导数Ginzburg-Landau方程周期的存在性以及整体吸引子的正则性
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     Periodic Solutions for Delay Differential Equations and Boundary Value Problems for Differential Equations
     时滞微分方程周期与微分方程边值问题的研究
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     Decomposition of 2+1-dimensional soliton equations and their quasi-periodic solutions
     2+1维孤子方程的分及其拟周期
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     Traveling Wave Solutions and Global Attractor for Continuous and Discretized Reaction Diffusion Equations
     连续与离散反应扩散方程组的行波及整体吸引子
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     Study of Explicit Solutions of Nonlinear Evolution Equations
     非线性发展方程显式的研究
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  solving
     A DIFFERENCE EQUATION METHOD FOR SOLVING SIMULTANEOUS EQUATIONS
     聯立方程的差分方程法
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     On Solving the Boundary-value Problem of Biharmonic Equation in Rectangular Region with Difference Method(I)
     关于差分法矩形区域上重调和方程的边值问题(Ⅰ)
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     The Transfer Method for Solving the Discrete Dirichlet Problem
     离散型Dirichlet问题的转移法
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     ERROR ANALYSIS OF AN ALGORITHM FOR SOLVING LARGE SPARSE SYSTEMS OF LINEAR EQUATIONS
     关于大型稀疏线性代数方程组一种算法的误差分析
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     A KIND OF DIFFERENCE METHOD SOLVING NONLINEAR PARABOLIC PARTIAL DIFFERENTIAL EQUATION
     非线性抛物型微分方程的一种差分格式
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  solved
     FORCED VIBRATION OF AN UNSYMMETRICAL SEGAMENTAL LINEAR SYSTEM SOLVED BY FOURIER SERIES
     不对称分段线性强迫振动付里叶级数
短句来源
     Two Dimensional Navier-Stokes Equations of Stream-Function Formulation Solved hy Multivariate Quasi-Conforming Techniques
     多变量拟协调元法流函数形式的两维Navier-Stokes方程
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     THE CUTOFF WAVELENGTH AND APPROXIMATE SOLVED FIELDS OF A CAM RECTANGULAR WAVEGUIDE
     圆突-矩形波导中截止波长及场的近似
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     Grouped filtering method was used to simplify the solution space,then the optimized model is solved by genetic algorithm.
     曝光时间和CR摄影得分为目标的0-1整数规划模型,用分组过滤方法简化空间,最后用遗传算法求.
短句来源
     Based on 0-1 integer linear programming,mathematics model is set and solved by linprog function in optimistic toolbox of MATLAB 6.5.The solution only containing zeros and ones is acquired using branch and bound algorithm.
     在0-1整数规划的基础上建立了数学模型,利用MATLAB 6.5优化工具箱中的linprog函数进行求,再经过分支定界算法计算,求出了只含有0和1的.
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  solution
The theory is applied to the case of cubic hypersurfaces, which is the one most relevant to special geometry, obtaining the solution of the two classification problems and the description of the corresponding homogeneous special K?hler manifolds.
      
Real and Rational Forms of Certain O2(?)-actions, and a Solution to the Weak Complexification Problem
      
A necessary and sufficient geometric condition on the growth of the boundary of approximate tiles is reduced to a problem in Fourier analysis that is shown to have an elegant simple solution in dimension one.
      
Indeed, if the coefficients of L are in $W^{1,2}\cap L^{\infty},$ then L can be rewritten in divergence form for which the notion of a "weak" solution can be applied.
      
There is an intrinsic definition of solution that is equivalent to the extrinsic one.
      
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  solutions
The Yang-Baxter equation admits two classes of elliptic solutions, the vertex type and the face type.
      
On the basis of these solutions, two types of elliptic quantum groups have been introduced (Foda et al.
      
A simple parametrization is given for the set of positive measures with finite support on the circle group T that are solutions of the truncated trigonometric moment problem:
      
In this case there could be infinitely many functions that are "weak" but not classical solutions.
      
We study the existence and regularity of compactly supported solutions φ = (φv)v=0/r-1 of vector refinement equations.
      
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  solving
They are of particular importance in solving differential and integral equations.
      
Finally, we show how to generalize our method for solving the 2-D version of the DMDP.
      
A new widly convergent method for solving the problem of operator identification is illustrated.
      
This technique is a direct application of the continuation homotopy method for solving nonlinear systems of equations.
      
It is found that this method does give excellent results in solving the inverse problem of the elliptic differential equations.
      
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  solved
A technique for the solution of convolution equations arising in robotics is presented and the corresponding regularized problem is solved explicity for particular functions.
      
At every iteration a quadratic programming which is obtained by quadratic approximation to Lagrangian function and linear approximations to constraints is solved to get a search direction for a merit function.
      
This paper shows a number of problems in pure and applied mathematics that are solved by constructing transportation networks.
      
In this note, the author proves that the inverse problem of submodular function on digraphs with l∞ objective function can be solved by strongly polynomial algorithm.
      
The result shows that most inverse network optimization problems with l∞ objective function can be solved in the polynomial time.
      
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  其他


1. The conformity of the pattern of Cicindela anchoralis to what has been considered typical of the genus becomes in- telligible if the middle band, which is undoubtedly the most variable of the markings of this species, is assumed to have shifted forward and to have developed extensions both cephaled and caudad along the lateral margin and on the disc of the eIytron.2. The variation of the pattern is of the continuous type and proceeds in one principal direction. As expected, some in- dividuals depart from...

1. The conformity of the pattern of Cicindela anchoralis to what has been considered typical of the genus becomes in- telligible if the middle band, which is undoubtedly the most variable of the markings of this species, is assumed to have shifted forward and to have developed extensions both cephaled and caudad along the lateral margin and on the disc of the eIytron.2. The variation of the pattern is of the continuous type and proceeds in one principal direction. As expected, some in- dividuals depart from this main series, in one way or another and ten such sub-types have been recognized in this study. The range of variation is very considerable.3. The male sex is found to have a greater tendency to lose its pigmentation, and this fact is interpreted as indicating its having a more variable middle band.4. Mating between the different types is entirely at random, the frequency of any given combination is apparently a function of the abundance of the individuals in a given class.5. In describing the elytral pattern of this species, Chevrolat (1845) used these words: "vitta anchorali, cum lienola pone humerum (femina amplioribus); cupreis". He evidently had regarded as typical the pattern showing fullest pigmentation. The present study shows, on the other hand, that such a pat- tern, while most primitive, is not the most representative. The typical pattern is to be sought in Class Ⅳ, the model class. This last remark certainly has wider application and merits the consideration of taxonomists describing highly variable forms.

斑蝥科甲虫翅鞘色型之差異,在一部份種類中,極为顯著。本篇所論,根據中國种錨紋斑蝥,於廿二年夏採於厦門北岸,計雌雄共九百餘個,內有交配者六十二對,所得結論如下: (一)本種色型,甚为異特。若以美人薛福特氏所立之本屬理想模式色型推,則其中間淡色横斑,較为移前,其左右則向上下分枝成H形。 (二)此種色型之變異為連續式仝趨一主要方向,但依其變異之分岐,可别为十種副式色型,詳情已於西文中加以討論。 (三)雄虫翅鞘之中間淡色横斑變異較大,其深色紋斑之傾向於縮小亦因之較雌性为甚。 (四)兩性交配,与色型之差異,全無關係。 (五)大部份個數皆呈現中間色型。其趨向於兩極端者(深色或淡色特别發達者)乃屬少数。因此分類學者於記述变異極大之種類時,應发中間色型者為代表。

The differential equation for relaxation oscillation with external impressed e.m.f. is written as

张弛振动之代表算式为一非直线的二次微分方程式在数学上至今未获完全答颇耳氏(Van der Pol)曾以半算半作图之方法研究强弛振动,但共方法仅能用於无外加控制电压之情形下故控制影响未能说本文叙述用罗勃氏(A.A.Bobb)作图方法析张弛振动之问题,自由振动与控制振动均可应用文中叙明通常之起始条件如何不适宜於作图及如何试设一边界条件而得正确之结果用此方法张弛振动之普通特性与频率减倍之现象,均能说控制波与强弛振动波之相的关系,亦曾加以讨论所设对称的三次抛物线形之振动特性,未能完满释偶谐控制波之控制功效

The evaluation of exchange integrals which occur in the quantum theory of molecules is reduced to the solution of Poisson's equation.

用量子力学释分子构造时产生一种对换积分。此文将求此种积分之问题变为Poisson偏微分方程式之问题。

 
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