
具体数学
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Prime
A positive integer p is called prime if it has just two divisors, namely 1 and p. By convention 1 is not prime number.The numbers have three or more divisors are called composite. Any positive int原创 2006-09-18 14:17:00 · 1434 阅读 · 0 评论 -
Greatest common divisor
We define the greatest common divisor of two integers m and n is the largest integer that divides them both. gcd(m,n) = max{k | k/m and k/n}. One of the nicest properties of the gcd is that it is原创 2006-09-15 14:15:00 · 1356 阅读 · 0 评论 -
Some sample about infinite sum
First, let we see a infinite sum: S = 1+1/2+1/4+1/8+1/16+..... is equal to 2,beacause if we get 2S = 2+1+1/2+1/4+1/8+...=2+S => S= 2. On the other hand,this same reasoning suggests that we ought转载 2006-08-24 14:14:00 · 1031 阅读 · 0 评论 -
Five levels of problems that might appear in books about mathematics
Level 1. Given an explicit object x and an explicit property p(x),prove that p(x) is true. Level 2. Given an explicit set X and an explicit property p(x),prove that p(x) is true for all x in X. Le转载 2006-08-24 14:06:00 · 882 阅读 · 0 评论