Bernstein多项式能够用来一致逼近闭区间上的连续函数。

对于[0,1]上的连续函数f(x)，定义Bernstein多项式

B_n(f,x) = sum{k=0..n} f(k/n)C(k,n)t^k(1-t)^(n-k)   //  当中C(k,n)是n取k的组合数。

一般的闭区间做一次仿射变换就能够了。

Bernstein polynomials的更多相关文章

  1. 1002. A+B for Polynomials (25)

    题目链接:https://www.patest.cn/contests/pat-a-practise/1002 原题如下: This time, you are supposed to find A+ ...

  2. PAT (Advanced Level) Practise：1002. A+B for Polynomials

    [题目链接] This time, you are supposed to find A+B where A and B are two polynomials. Input Each input f ...

  3. \(\S1 \) Gaussian Measure and Hermite Polynomials

    Define on \(\mathbb{R}^d\) the normalized Gaussian measure\[ d \gamma(x)=\frac{1}{(2\pi)^{\frac{d}{2 ...

  4. 1002. A+B for Polynomials

    1002. A+B for Polynomials (25) This time, you are supposed to find A+B where A and B are two polynom ...

  5. Legendre polynomials

    In mathematics, Legendre functions are solutions to Legendre's differential equation: In particular, ...

  6. PAT 解题报告 1009. Product of Polynomials (25)

    This time, you are supposed to find A*B where A and B are two polynomials. Input Specification: Each ...

  7. 【PAT】1009. Product of Polynomials (25)

    题目链接:http://pat.zju.edu.cn/contests/pat-a-practise/1009 分析:简单题.相乘时指数相加,系数相乘即可,输出时按指数从高到低的顺序.注意点:多项式相 ...

  8. PAT 1002. A+B for Polynomials (25) 简单模拟

    1002. A+B for Polynomials (25) 时间限制 400 ms 内存限制 65536 kB 代码长度限制 16000 B 判题程序 Standard 作者 CHEN, Yue T ...

  9. PAT1009:Product of Polynomials

    1009. Product of Polynomials (25) 时间限制 400 ms 内存限制 65536 kB 代码长度限制 16000 B 判题程序 Standard 作者 CHEN, Yu ...

随机推荐

  1. iOS内存管理 ARC与MRC

    想驾驭一门语言,首先要掌握它的内存管理特性.iOS开发经历了MRC到ARC的过程,下面就记录一下本人对iOS内存管理方面的一些理解. 说到iOS开发,肯定离不开objective-c语言(以下简称OC ...

  2. shell：监控进程运行状态并自动重启进程

    #!/bin/sh MAXRSTCOUNT=; PROCTOGO=/mnt/hgfs/code/test/show #count is the counter of test started time ...

  3. 杭电ACM 2052 Picture

    Picture Time Limit: 1000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others) Total Su ...

  4. Apache和Nginx下禁止访问特定的目录或文件

    大家是否测试Apache做了目录禁止浏览后,目录下面的txt文件还是可以显示里面的内容的.例如:http://www.domain.com/test/此访问会报403错误,但是如果test下有很多tx ...

  5. HTTP BIN测试

    http://httpbin.org/ Tracing XML request/responses with JAX-WS: http://stackoverflow.com/questions/19 ...

  6. Linux部署ASP.NET 5 (vNext)

    原文:Linux部署ASP.NET 5 (vNext) ASP.NET 5 (vNext) Linux部署   引言 工欲善其事,必先利其器. 首先,我们先明确下以下基本概念 Linux相关 Ubun ...

  7. 开启Linux VNC远程桌面

    Xwindows:gnome (红帽默认安装的图形界面)   一, 确认及安装VNCSERVER. 1,首先确认你服务器是否配置了VNCSERVER,可以在命令行下敲入以下命令查看: [root@lo ...

  8. 搜狐畅游：每月给员工直系长辈2000元爱孝薪_企业新闻_265G产业频道

    搜狐畅游:每月给员工直系长辈2000元爱孝薪_企业新闻_265G产业频道 搜狐畅游:每月给员工直系长辈2000元爱孝薪

  9. MySQL server has gone away 解决方法

    应用程序(比如PHP)长时间的执行批量的MYSQL语句.执行一个SQL,但SQL语句过大或者语句中含有BLOB或者longblob字段.比如,图片数据的处理.都容易引起MySQL server has ...

  10. route-over VS mesh-under

    近期在网上看到一篇专门介绍route-over和Mesh-under的论文,介绍的比較具体: ip=183.63.119.35&id=1582643&acc=ACTIVE%20SERV ...