Bernstein polynomials】的更多相关文章

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.…
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+B where A and B are two polynomials. Input Each input file contains one test case. Each case occupies 2 lines, and each line contains the information…
[题目链接] This time, you are supposed to find A+B where A and B are two polynomials. Input Each input file contains one test case. Each case occupies 2 lines, and each line contains the information of a polynomial: K N1 aN1 N2 aN2 ... NK aNK, where K is…
Define on \(\mathbb{R}^d\) the normalized Gaussian measure\[ d \gamma(x)=\frac{1}{(2\pi)^{\frac{d}{2}}} e^{-\frac{|x|^2}{2}}dx\] Consider first the case \(d= 1\). The Taylor expansion of \(e^{-\frac{1}{2}x^2}\) at the point \(x\), with increment \(t\…
1002. A+B for Polynomials (25) This time, you are supposed to find A+B where A and B are two polynomials. Input Each input file contains one test case. Each case occupies 2 lines, and each line contains the information of a polynomial: K N1 aN1 N2 aN…
In mathematics, Legendre functions are solutions to Legendre's differential equation: In particular, it occurs when solving Laplace's equation (and relatedpartial differential equations) in spherical coordinates. The polynomials may be denoted by Pn(…
This time, you are supposed to find A*B where A and B are two polynomials. Input Specification: Each input file contains one test case. Each case occupies 2 lines, and each line contains the information of a polynomial: K N1 aN1 N2 aN2 ... NK aNK, wh…
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:多项式相乘后指数最高可达2000. 题目描述: This time, you are supposed to find A*B where A and B are two polynomials. Input Specification: Each input file contains one test…
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 This time, you are supposed to find A+B where A and B are two polynomials. Input Each input file contains one test case. Each case occupies 2 lines, an…
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, Yue This time, you are supposed to find A*B where A and B are two polynomials. Input Specification: Each input file contains one test case. Each case oc…