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1

About Greatest Common Divisor | Marine's Math

https://marinemath.wordpress.com/2010/09/16/about-greatest-common-divisor

Just another WordPress.com weblog. About Greatest Common Divisor. Normally, there are two ways to define the greatest common divisor. If a is a common divisor of $ latex A$. Another equivalent definition B is:. Is the largest common divisor. OK, I think I made a mistake last night. In Definition A that GCD is the common divisor that divides all common divisors, it needs extra effort to prove such common divisor exists. Once this is done, the two definitions are trivially equivalent. By Long Division, if.

2

About | Marine's Math

https://marinemath.wordpress.com/about

Just another WordPress.com weblog. Marine’s Math Home. Recording my progress in Mathematics and Computer Science. July 5, 2010 at 5:17 am. Leave a Reply Cancel reply. Enter your comment here. Fill in your details below or click an icon to log in:. Address never made public). You are commenting using your WordPress.com account. ( Log Out. You are commenting using your Twitter account. ( Log Out. You are commenting using your Facebook account. ( Log Out. Notify me of new comments via email.

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Ural 1790 | Marine's Math

https://marinemath.wordpress.com/2010/10/22/ural-1790

Just another WordPress.com weblog. Using namespace std;. Bool oddJ=false, evenJ=false;. Void seee (int initial, int gender). For (int i = 0; i! If (in = 2 & s[i] = 2 & (gender i)%2 ) continue;. If (s[i] = in) in ;. If (in = 1) in =2;. If (in = n). If (gender) evenJ=1; else oddJ=1;. Initial gender n m;. For (i=0; i! M; i ) cin s[i];. For (i = 0; i! If (s[i]= s[i 1]) {cout YES; return 0;}. If (oddJ & evenJ) cout YES endl; else cout NO endl;. You can follow any responses to this entry through the RSS 2.0.

4

An illuminating construction in Real Analysis | Marine's Math

https://marinemath.wordpress.com/2011/10/10/an-illuminating-construction-in-real-analysis

Just another WordPress.com weblog. An illuminating construction in Real Analysis. I posted a question on . The answer is brilliant and very illuminating. The statement of the problem is:. Putting all the elements in the set in a sequence, denoted. Is a zero-measure set. So how to find an irrational number in. Robert Israel gives a very clever solution:. For an “explicit” construction, consider. Note that $a {m(n)} z a {m(n)} 2 { 1 k {n 1} a {m(n)} 2 { 2m(n)} so. Is in all the. From your own site.

5

数学的印象 | Marine's Math

https://marinemath.wordpress.com/2010/11/24/数学的印象

Just another WordPress.com weblog. 最近每每谈及数学的 sense 感受 ,而作为数学 sense 基础的感觉,可以说就是数觉。 把数学的对象看作是自然现象的一部份,也许有人说这不讲道理,但是数学现象与物理现象同样是无可争辩的实际存在的,这明确表现在当数学家证明新定理时,不是说 发明 了定理,而是说 发现 了定理。 翻开量子力学教科书,首先看到的是光的干涉、电子的散射等实验的说明,然后表明,光子、电子等的粒子状态可以用波动函数 即属于某个 Hilbert 空间的向量 来表示并导出与若干状态的波动函数有关的迭加原理。 迭加原理认为,状态 A 若是状态 B 与 C 的迭加,则 A 的波动函数就是 B 的波动函数与 C 的波动函数的线性组合,它是量子力学的基本原理。 状态 A 是状态 B 和 C 的迭加是怎么一回事呢 对于教科书中光的干涉等情形,其意义可以认为是显然的,而在一般场合,却很难理解环境 A 是环境 B 与 C 的迭加的意义。 正如 R Feynman 所说,迭加原理的说明只能到此为止。 例如假设存在以某个公理系 A 为基础的丰富的理论体系 S。 Fill in y...

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Marine's Math | Just another WordPress.com weblog

Just another WordPress.com weblog. An illuminating construction in Real Analysis. October 10, 2011. I posted a question on . The answer is brilliant and very illuminating. The statement of the problem is:. Putting all the elements in the set in a sequence, denoted. Is a zero-measure set. So how to find an irrational number in. Robert Israel gives a very clever solution:. For an “explicit” construction, consider. Note that $a {m(n)} z a {m(n)} 2 { 1 k {n 1} a {m(n)} 2 { 2m(n)} so. Is in all the. 除这 4 个以外,...

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