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After this the Euclidean and hyperbolic geometries are built up axiomatically as special cases of a more general 'descriptive geometry'.

在此之后的欧几里德和双曲几何的建立作为一个更一般的'特殊情况下，公理画法几何'。

At last, in Chapter 7, the author establishes the theory on global exact boundary controllability for first order quasilinear hyperbolic system of diagonal form and applies it to one-dimensional isentropic flow system.

最后，在第七章，本文对齐次的一阶拟线性对角型双曲组实现了整体精确能控性，并在一维等熵流方程组得到了应用。

At the end, the author establishes the global exact boundary controllability for first order quasilinear hyperbolic systems of diagonal form, taking the one-dimensional isentropic flow system as an example.

本文的具体安排如下：首先在第一章，作者简单介绍了精确能控性的定义以及相关问题的研究历史与现状。

A class of exact solutions of the Dirac equation are obtained for an electron in the electromagnetic field of a wave guide formed by two pairs of hyperbolic cylinders.

摘要研究了位于由两对双曲柱面构成的波导管电磁场里的单电子的性质，得到了单电子在场中狄拉克方程的新一类精确解；计算了极化算符的本征函数。

Inhomogeneous hyperbolic conservation law; viscosity solution; weak solution; entropy-entropy flux; maximum principle; Young measure; Dirac measure; compensated compectness

基础科学，数学，数学分析非齐次双曲型守恒律；粘性解；弱解；熵-熵通量；极值原理； Young测度； Dirac测度；补偿列紧理论

The finite dimension approximating solution for initial-boundary value problem of coupling nonlinear system of hyperbolic equation is constructed by orthogonal basis of characteristic value sequence of the Laplace operator in the Dirichlet boundary conditions.

以Laplace算子在Dirichlet条件下的特徵值序列为正交基底构造耦合非线性双曲型方程组初边值问题的有限维近似逼近解，证明该逼近解的一致收敛性。

The dissipative function of term Δu_ in a class of nonlinear hyperbolic system with strong damping is studied.

研究一类强阻尼非线性双曲型方程组中阻尼项Δuit的耗散作用。

Software Description: XCCalc is a Floating-Point calculator program with the following features:- Can calculate with complex numbers like z = x + i*y - Extra precision to millions of decimal places - Uses Fast Hartley Transform to speed-up long multiplies - Separate input and output notation, base 2 to base 36 - Efficient Transcendental functions - Hyperbolic functions - Greatest Common Divisor function.

XCCalc XPCalc 是一款带有下列功能的浮点计算器软件：可以计算诸如 z = x + i*y 这样的复杂算术公式；带有数百万小数位的额外精度；使用 Fast Hartley Transform 以加速长乘法计算；基于2到36个单独的输入和输出表记法；高效的验算函数；双曲线函数；最大公约数函数。

There were many studies on the static properties of common types of reticulated shells, such as sphere, cylinder, elliptic paraboloid, hyperbolic paraboloid and so on, while little systematical research on ellipsoid reticulated shells has been reported by now.

摘要对于比较常见的网壳结构形式，如球壳、圆柱面网壳、椭圆抛物面网壳、双曲抛物面网壳等，其静力性能的研究已比较成熟，有关其非线性全过程分析的策略、思想及实施方法，很多学者均进行了深入的分析和探讨，但对椭球面网壳这一结构形式来说，目前还没有系统的研究。

Before hyperbolic geometry, mathematicians knew about two kinds of space, Euclidean space and spherical space. And they have different properties.

在有双曲几何前，数学家知道有两种空间－欧几里德空间和球面空间；它们具有不同的性质。

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。