数学基础

It is a valuable resource for anyone wanting to understand the mathematical foundations of geometry, rasterization and lighting techniques. The FAQ for the comp.graphics.algorithms Usenet group also contains useful material.

对于希望理解图形学几何，光栅化和光照技术的数学基础的人来说，这是本有价值的书。comp.graphics.algorithms Usenet组的FAQ也有很多有用的信息。

Maybe this only to be a dream, but we can still take it as a terminal goal in foundations of mathematics studies.

也许这只是一个理想，但仍然可以作为数学基础研究的一个终极目标。

International journal for the history of mathematical logic, set theory, and foundations of mathematics.

关于数理逻辑、集合论、数学基础的历史的国际杂志

On one occasion, Hilbert squeaked to the assembly: There have been two great crises in the Foundations of Mathematics.

有一天，希尔伯特对它的听众说：数学基础存在两个极大的危机。

First, when the Pythagoreans discovered the irrationality of the square root of two … Second, when the philosophical Bishop, Berkeley the Bear, pointed out the contradiction of dividing by zero … But Cantor the Goat, by his General Set Theory, has shown us how to resolve these problems, and to dispel crisis from the Foundations of Mathematics!

每一次危机是毕达哥拉斯学派发现了2的平方根是一个无理数……第二次危机是作为哲学家的毕晓普这只贝克莱大熊指出了用0做除数所具有的矛盾性……而康托尔山羊在它的《普通集合论》里向我们证明了它是如何解决这个问题的，并且消除了数学基础的危机！

Starting with diagrammatic methods in linear algebra,this paper reviews the mathematical basis for spin network s,proves again loop operator and binor identity,and computes some formulas about spin network s.

从线形代数的图解方法出发，对自旋接网圈的数学基础做出回顾，并重新推证了圈算符和双元恒等式，计算了关于自旋接网圈的一些计算公式。

It was not until Godel, the great mathematician who proposed the famous Incompleteness Theorem, that the philosophical significance more fully revealed itself in fundamental mathematical research.

直到再后来，大数学家哥德尔发现了著名的"哥德尔不完备定理"，将数学基础研究的哲学意义，揭示得更加明显。

First, mathematical foundation of synchronization, i.e. the theory of parameter estimation is introduced. Then, DA/DD or NDA timing synchronization methods based on the ML estimation of timing parameter are presented. They are all widely applied in actual digital communication systems. Interpolation theory in digital signal processing has application in timing synchronization, which makes the sampling clock independent of the timing control so that timing adjustment is realized completely through digital disposal. The issue of interpolation in timing synchronization is discussed.

首先，介绍了定时同步实现的数学基础，即信号参数估计理论；从定时参数的最大似然估计出发，介绍了基于数据辅助的定时同步方法和基于非数据辅助的定时同步方法，他们在实际的数字通信系统中均有广泛应用；论文探讨了数字信号处理中插值理论在定时同步中的应用，它使得接收端的采样时钟独立于定时控制，定时调整完全通过数字处理方法得以实现。

Boundary element method is a kind of numerical algorithm on boundary; it is based on the boundary integral equation and employs the element discretization technique.

边界元属于边界型的数值方法，它是以边界积分方程为数学基础，同时采用了有限元法的单元离散技术。

When being engaged in the research of the basis of mathematics, Russell put forward his theory of types to solve paradoxes and to achieve his subject of logicism.

类型论是罗素在从事数学基础研究时，为实现其逻辑主义论题而提出来的一种解决悖论的理论。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。