归档 2016年7月

标准Logistic函数为：

f(x) = 1 / ( 1 + exp(-x) )

其导函数为：

f'(x) = f(x) * ( 1 - f(x) )

下面使用matplotlib绘制逻辑斯蒂函数及其导函数的曲线。

Python代码：

import numpy as np
import matplotlib.pyplot as plt

a = np.linspace(-10, 10, 1000)
b = 1.0 / (1.0  + np.exp(-a ...

题目描述：

LeetCode 372. Super Pow

Your task is to calculate a^b mod 1337 where a is a positive integer and b is an extremely large positive integer given in the form of an array.

Example1:

a = 2
b = [3 ...

题目描述：

LeetCode 373. Find K Pairs with Smallest Sums

You are given two integer arrays nums1 and nums2 sorted in ascending order and an integer k.

Define a pair (u,v) which consists of one element from the first array ...

拉马努金无穷根式是印度数学家拉马努金（Srinivasa Ramanujan）于20世纪初提出的。

f(x) = sqrt(1 + (x + 1) * f(x + 1))

上面的函数是一个递归式，下面用Python编程计算该函数的值。

Python代码：

import math
class Ramanujan(object):
    def sum(self, d, md):
        if d > md:
            return 0
        return math.sqrt(1 + (d + 1) * self ...