查询词典 hyperbolic

In this paper,by using the characteristic equation,some forced oscillation of certain delay hyperbolic differential equation s are obtained.

借助其特征方程，获得了一类时滞双曲型微分方程解的强迫振动的若干充分条

We further study the forced oscillation and we obtain the oscillation criteria for the unbounded solutions of the in-homogeneous hyperbolic equation.

我们还研究了强迫振动并且得到了非齐次双曲方程无界解的振动判别准则。

A third order ENO finite volume method for hyperbolic conservation laws on unstructured triangular mesh is introduced.In order to obtain the third order accuracy on spatial discretization,a weighted quadratic interpolation is constructed on every triangular mesh.Two point Gauss quadrature formula is also used on each edge of every triangular mesh and the third order TVD Runge-Kutta method is used for time discretization.The numerical order of convergence and the numerical result of a mesh 3 wind tunnel with one step are given.

摘 要 基于双曲型守恒律方程，对非结构三角形网格给出了一种ENO(Essentially Nonoscillatory Scheme)型有限体积格式，方法的主要思想是先对每一个三角形单元构造一个加权的二次插值多项式，而在计算交界面的流通量时采用了两点高斯积分公式以保证格式的整体精度，时间离散采用三阶TVD Runge-Kutta方法。

Secondly, in this part, we will introduce the notation of average geodesic curvature for curves in the hyperbolic plane, and investigate the relationship between the embeddedness of the curve and its average geodesic curvature. Finally, we will employ the Minkowskis support function to construct a new kind of non-circular smooth constant breadth curves in order to attack some open problems on the constant width curves for example, whether there is a non-circular polynomial curve of constant width, etc.

其次，对双曲平面上的曲线引入平均测地曲率的概念，并讨论双曲平面上凸曲线的嵌入性与它的平均测地曲率之间的关系，其目的是为了将双曲平面上曲线的性质与欧氏平面中曲线的性质作一些对比；最后，我们利用Minkowski支撑函数构造了一类新的非圆的光滑常宽曲线，其目的是想回答有关常宽曲线的一些未解决问题如是否存在非圆的多项式常宽曲线？

Here, we will give an independent proof of the existence for inequality (2.1.3), and by the way, give an estimate on the width of the bi-enclosing annulus of closed convex curves in the plane. Secondly, in this part, we will introduce the notation of average geodesic curvature for curves in the hyperbolic plane, and investigate the relationship between the embeddedness of the curve and its average geodesic curvature.

其次，对双曲平面上的曲线引入平均测地曲率的概念，并讨论双曲平面上凸曲线的嵌入性与它的平均测地曲率之间的关系，其目的是为了将双曲平(来源：ABC论84文网www.abclunwen.com)面上曲线的性质与欧氏平面中曲线的性质作一些对比；最后，我们利用Minkowski支撑函数构造了一类新的非圆的光滑常宽曲线，其目的是想回答有关常宽曲线的一些未解决问题如是否存在非圆的多项式常宽曲线？

Some geometric data of ellipse in hyperbolic space are considered,such as set inclusion,arc length,geodesic curvature,curvature,area and total curvature .

在双曲空间中，考察椭圆的包含关系，对弧长元素、测地曲率、曲率、面积及全曲率等几何量做出细致考察。

The GKS stability theorem for one-dimensional model of hyperbolic initial and boundary value problem, Trefethen's explanation and extension based on the concept of group velocity are generalized firstly. Another possible high-frequency instability mechanism in numerical realization of MTF is pointed out based on his explanation and extension, namely, coupling effect of outgoing harmonic wave along one direction and node motion in the other directions can reverse the energy propagation in multi-dimensional discrete grids.

本文概述了—维双曲型偏微分方程组初边值问题数值稳定性的GKS定理及Trefethen基于群速度概念对这一定理的解释和推广；并应用Trefethen的解释和推广指出了MTF在数值实现中可能出现的另一种高频失稳机制，即在多维离散网格中，沿某一空间方向的外行简谐波，由于与其他空间方向节点运动的耦合效应可以使能量传播方向反向。

Investigation was made of the sputtering rate in glow discharge lamp with re-lation to constituent of 25 different specimens of 6 binary systems, namely, Cr-Fe, Bi-Sb,Cu-Zn, Ag-Cu, Al-Zn and Cd-Sn, by measuring mass loss after each sputtering under con-stant Ar pressure and voltage applied. The correlation, in general, between sputtering rate andconcentration of constituent of these non-intermetallic binary alloys obeys the hyperbolic lawunder steady state, yet may be approximately regarded as linear only on certain special condi-tion if the two components of the alloys with similar sputtering rates.

在恒定气压和电压条件下，用测量溅射减量的方法，系统研究了Cr—Fe，Bi-Sb，Cu—Zn，Ag—Cu，Al-Zn和Cd—Sn六个系统的25个试样在辉光放电灯中溅射率与组分的关系结果表明；阴极溅射在稳态时，二元合金的溅射率与组元浓度的普遍关系是双曲线，只有在某些特殊情况下，两组元的溅射率相差不大时，可以近似看成线性关系。

Inverse hyperbolic cosine -- in radians !!!

反双曲线余弦--以弧度为单位！！！

Taking the hyperbolic sine and cosine functions as examples, the method of realizing the arithmetic in FPGA was presented and simulated on ISE(Integrated Software Environment) platform. The result showed this arithmetic was of good precision and instantaneity because of using pipeline.

本文简要介绍了该算法的基本原理，给出了具体的计算方法，并以双曲正余弦函数的求取为例，给出了CORDIC算法在FPGA中的实现方法，在集成综合环境平台上进行了仿真。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。