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十根号二
So, even though we're familiar with only a few irrationals, like square root of two and pi,
所以,尽管你只熟悉几个无理数, 像是根号 2 和圆周率 π,
By executing a program section twice, the program calculates the square root of two numbers that are entered by the user.
的使用。通过将程序段执行两遍,计算由用户输入的两个数的平方根。
However, Hardy's more prominent examples of elegant mathematical discoveries with no use (proofs of the infinitude of primes and of the irrationality of the square root of two) still hold up.
Within the system of ISO for paper size there is a height-to-width ratio for all of the pages and it is the square root of two.
在ISO的系统为纸张大小有一个高度与宽度的比率为所有的页面,它是2的平方根.
A5 is exactly half the size of A4 size for the ISO paper size all sizes are the square root of two. So for example the width and the height of pages are related to each other like a side and a diagonal area of a square.
According to Pythagoras Theorem, the diagonal length would be square root of two, but try as he might, Hippasus could not express this as a ratio of two integers.
If we assume that the square root of two is a rational number, then we can say that the square root of two is A over B,
如果我们假设2的平方根 是个有理数 那么可以说 2的平方根
Although most of the contents of the Elements were already known, Euclid arranged them into a single, coherent logical framework. The Elements was known to all educated people in the West until the middle of the 20th century and its contents are still taught in geometry classes today. In addition to the familiar theorems of Euclidean geometry, the Elements was meant as an introductory textbook to all mathematical subjects of the time, such as number theory, algebra and solid geometry, including proofs that the square root of two is irrational and that there are infinitely many prime numbers.
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