Calculating the Order of An Element in A Group
A group can have finite or infinite number of elements. When the group has finite number of elements, we see the least POSITIVE n i.e.(n>0) such that g^n gives the identity of the group (in case of multiplication) or n*g gives the identity (in case of addition).
Equation of a rectangle - Mathematics Stack Exchange
2011年10月2日 · For purposes of plotting with a computer, the implicit equation isn't terribly convenient to handle, so I'll throw in a set of parametric Cartesian equations for free, based on the parametric equations of the Lamé curve:
$\\operatorname{Aut}(\\mathbb Z_n)$ is isomorphic to $U_n$.
2023年8月3日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Expectation of Minimum of $n$ i.i.d. uniform random variables.
2017年4月25日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Homotopy groups U(N) and SU(N): $\\pi_m(U(N))=\\pi_m(SU(N))$
2017年10月3日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Calculate the cohomology group of $U(n)$ by spectral sequence.
2015年5月31日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
Divergence of series sin(1/n) - Mathematics Stack Exchange
2017年7月2日 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers.
I have learned that 1/0 is infinity, why isn't it minus infinity?
$\begingroup$ @Swivel But 0 does equal -0. Even under IEEE-754. The only reason IEEE-754 makes a distinction between +0 and -0 at all is because of underflow, and for +/- ∞, overflow.
combinatorics - Probability of winning a prize in a raffle ...
2011年12月16日 · For the moment, assume that the prizes are drawn with replacement. Then in order for you to not get a prize, you need to miss the first time, and the second time, and the third time, and so on, until the $40^{th}$ time.
Difference between "≈", "≃", and "≅" - Mathematics Stack Exchange
In mathematical notation, what are the usage differences between the various approximately-equal signs "≈", "≃", and "≅"? The Unicode standard lists all of them inside the Mathematical Operators B...