链接:https://en.wikipedia.org/wiki/Laplace%27s_equation…

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(…

well-posed problem must have the property that A solution exists The solution is unique The solution's behavior changes continuously with the initial conditions 简单来说就是有唯一解,并且是连续变化的. Examples of archetypal well-posed problems include the Dirichlet pro…

先模糊再laplace,也可以替换为sobel等. 变换效果后录成视频,挺好玩. #include "opencv2/videoio/videoio.hpp" #include "opencv2/highgui/highgui.hpp" #include "opencv2/imgproc/imgproc.hpp" #include <opencv2/core/utility.hpp> #include <ctype.h>…

数学上曲面的连续光滑形变可以通过最小化能量函数来建模得到,其中能量函数用来调节曲面的拉伸或弯曲程度,那么能量函数最小化同时满足所有边界条件的最优解就是待求曲面. 能量函数通常是二次函数形式: 其中S*代表关于曲面参数u和v的k阶偏导. 对于上述优化问题的求解方法,通常利用变分法得到对应的Euler-Lagrange方程,然后求解该方程得到最优解.对于二次能量函数形式,其对应的Euler-Lagrange方程为如下多阶调和方程: 例如对于,那么对应的Euler-Lagrange方程就是2阶Lapl…

B. Little Dima and Equation time limit per test 1 second memory limit per test 256 megabytes input standard input output standard output Little Dima misbehaved during a math lesson a lot and the nasty teacher Mr. Pickles gave him the following proble…

 FZU 2102   Solve equation Time Limit:1000MS     Memory Limit:32768KB     64bit IO Format:%I64d & %I64u  Practice Description You are given two positive integers A and B in Base C. For the equation: A=k*B+d We know there always existing many non-nega…

题意: 有1~9数字各有a1, a2, -, a9个, 有无穷多的+和=. 问只用这些数字, 最多能组成多少个不同的等式x+y=z, 其中x,y,z∈[1,9]. 等式中只要有一个数字不一样 就是不一样的 思路: 计算下可以发现, 等式最多只有36个. 然后每个数字i的上界是17-i个 可以预先判掉答案一定是36的, 然后直接暴力搜索每个等式要不要就好了. 注意剪枝即可 ; int a[maxn]; bool flag36; int ans; struct Equation { int x, y…

#对coursera上Andrew Ng老师开的机器学习课程的笔记和心得: #注:此笔记是我自己认为本节课里比较重要.难理解或容易忘记的内容并做了些补充,并非是课堂详细笔记和要点: #标记为<补充>的是我自己加的内容而非课堂内容,参考文献列于文末.博主能力有限,若有错误,恳请指正: #---------------------------------------------------------------------------------# 多元线性回归的模型: #-----------…

Codeforces Round #262 (Div. 2) B B - Little Dima and Equation B. Little Dima and Equation time limit per test 1 second memory limit per test 256 megabytes input standard input output standard output Little Dima misbehaved during a math lesson a lot a…