数学基础

The long memory of time series array firstly was found by Hurst in 1951, and then was established mathematical foundation by introducing fraction Brownian movement and conception of fractal by Mandelbrot.

时间序列的长记忆性，最早是由水文学家赫斯特于1951年提出来的，之后又由Mandelbrot引入分数布朗运动以及分形概念为之建立了严格的数学基础。

Cantor's set theory attacked those problems only to create a third crisis in the Foundations of Mathematics!

康托尔的集合论对这些问题的探讨只是导致了数学基础的第三次危机！

By the end of the nineteenth century Cantor had discovered various paradoxes in the theory of classes and there was something of a crisis in the foundations of mathematics.

到了19世纪康托尔发现在不同的阶级理论悖论，而且是在数学基础的东西危机结束。

The linear manifold-learning algorithms represented by PCA, with their substantial mathematical foundation and simple implementation, but they are not able to show complex nonlinear manifold structure with their linear essence, which gives rise to nonlinear manifold-learning algorithms such as Isomap, SIE etc.

以PCA为代表的线性流形学习算法有较强的数学基础，实现简单，但是其线性本质并不能揭示复杂的非线性流形结构；于是又出现了以Isomap、SIE等为代表的非线性流形学习算法。

I have a financial professional students do not have a solid foundation for mathematics and computer-assisted edge applications.

我拥有金融专业本科生所没有的扎实的数学基础和计算机辅助应用方面的优势。

With this course, the students will learn the mathematical background of cryptography.

通过本课程的学习，使学生掌握密码学的数学基础。

This is a detailed introduction cubic spline curve function of the thesis, dissertation the main speaker of the cubic spline function of the mathematical foundations and algorithm description.

详细说明：这是一篇详细介绍三次样条曲线函数的论文，论文主要讲了三次样条函数的数学基础及算法说明。

In the first half of the twentieth century, an important debate on the foundations of mathematics took place.

在20世纪，对数学基础的重要辩论上半年发生。

General assumptions probability density function is normal, because normal mathematical better foundation.

一般假设概率密度函数是正态分布，因为正态分布数学基础较好。

I will present a feasible scheme for hardware implementation of elliptic curve cryptographic system.

本文结合椭圆曲线算法的数学基础对椭圆曲线密码体制进行深入的分析，对椭圆曲线算法的FPGA实现进行了具体的研究设计，为ECC算法提供了实际可行的硬件解决方案。

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。