1、

The classical elementary waves in Riemann solutions include rarefaction wave, shock wave and contact discontinuity.

黎曼解涉及的经典基本波包括疏散波 、 激波和接触间断.

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2、

It was this concept that Riemann generalized, thereby opening up new vistas in non-Euclidean geometry.

这个概念嗣后为Riemann所推广, 从而在 非 欧几里德几何学中开辟了新前景.

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3、

H. C. Whitehead theorem in Riemann manifolds is extended into Finsler manifolds.

指出了Finsler流 形中任一点处凸邻域的存在性,将Riemann流形的J. H. C. Whitehead定理推广到了Finsler流 形.

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4、

We solve the Riemann problem for C-J model and Z-N-D model under the entropy conditions.

另一方面,我们将在熵条件下求解C -J 模型和Z-N-D模型的黎曼问题.

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5、

Bernhard Riemann pioneered elliptic geometry.

伯恩哈德·黎曼开辟了椭圆几何学.

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6、

The relationship of this geometry to Riemann's varieties was not clear.

这种几何和Riemann几何的关系是不清楚的.

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7、

Christoffel's major concern was to reconsider and amplify the theme already treated somewhat sketchily by Riemann.

Christoffel主要关心的是重新考虑和详细论述Riemann已经稍为粗略地讨论过的题目.

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8、

He could not understand Riemann's work on Abelian functions nor Roch's contributions in his dissertation.

他不能理解Riemann在Abel函数方面的工作,也不懂Roch论文中的论著.

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9、

Using the Godunov scheme based on the exact Riemann solution with WLF Method, the tidal bore in the Qiantang Estuary is simulated.

应用以准确Riemann解为基础的Godunov格式,结合WLF方法模拟了钱塘江涌潮。

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10、

On the sums of Riemann zeta function

关于Riemann Zeta函数ζ(s)的求和讨论

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11、

A Judgement of the Half Plane Free from zero of Riemann's Zeta Function

关于Riemann Zeta函数的无零点半平面的一个判别法

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12、

Summation of a class of series concerning Riemann zeta function

一类与Riemann Zeta函数有关的级数和

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13、

The δ Mean Value of the Riemann Zeta Function On the Critical Line

Riemann Zeta函数在临界线上的δ-平均值

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14、

The asymptotic properties of the m-power residues numbers were studied. And two interesting asymptotic formulas were obtained by using the estimates of Riemann-zeta function with analytic methods.

利用Riemann-zeta函数的估计及其解析方法研究了m次剩余数的一些渐近性质,得到了两个有趣的渐近公式。

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15、

Riemann boundary value inverse problem on closed contour

封闭曲线上的Riemann边值逆问题

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16、

This paper investigated the problem of how to obtain the plots of algebraic function on Riemann surface, and developed a feasible method for drawing the generalized root or Nyquist loci.

本文研究了代数函数在Riemann曲面上的图形绘制问题,由此提出了绘制广义根轨迹图与广义Nyquist图的可行方法。

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17、

Mathematically they are certain plots on Riemann surface of algebraic function defined by two variable polynomial.

数学上它们都是由双变量多项式定义的代数函数在Riemann曲面上的特定图形轨迹。

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