细推物理须行乐 何用浮名绊此身
 这样的方程解起来是很简单的,因为最低下的x的指数是他本身,即它的指数是2,因此该方程等价于x^2=2,立刻解得x=√2.
 但是,如果题目地形式稍微一变,变成这个样子:
 用同样的方法你将会得出同样的答案x=√2.
 现在问题来了,既然如此,那么表达式
 到底等于几呢?2还是4?...
 一个超级赖皮的数学证明方法 -  - 例证法
 今天看到"数学家的眼光"(张景中著)写到了一个巨赖皮的数学证明方法,叫例证法,看完我都惊得不行了,就写到这里来和大家分享一下.
 证明:令x=1代入原式,发现等式成立.
 令x=2代入原式,发现等式成立.
 令x=3代入原式,发现等式成立.
 所以原式恒成立.
 你看了可能会狂笑不止,有种想揍我的冲动,这什么东西,举了3个例子就说证明了原式?证明等式成立可必须是所有x都满足才行啊!可是,且慢,我可以告诉你,这样证明是严谨的.不信就听我仔细分析....
 14
 Jul
 爱的方程式
 ...
 3
 Jun
 一张图证明著名等式
 如图,从内到外各圈正方形的边长依次是1,2,3,4......通过面积的两种表达形式,就可以证明结论中的著名等式!
 解释一下:第一个算式是把面积一圈一圈加起来,第二个是总边长的平方....
 Risk Parity 的具体含义,以及与 Inverse Volatility 的区别与联系
 凯利判据在美股中的应用:计算最佳杠杆率
 最小作用量原理与物理之美2 -  - 费马原理
 找棒状物重心的简单办法
 细数一下那些不是"主权国家"的"国家和地区"
 Tags
 学而时嘻之
 宇宙的心弦
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