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Mathematics Stack Exchange
Q&A for people studying math at any level and professionals in related fields
(Un-)Countable union of open sets - Mathematics Stack Exchange
A remark: regardless of whether it is true that an infinite union or intersection of open sets is open, when you have a property that holds for every finite collection of sets (in this case, the union or intersection of any finite collection of open sets is open) the validity of the property for an infinite collection doesn't follow from that. In other words, induction helps you prove a ...
notation - Difference between "≈", "≃", and "≅" - Mathematics Stack ...
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...
Newest Questions - Mathematics Stack Exchange
Mathematics Stack Exchange is a platform for asking and answering questions on mathematics at all levels.
Probability of duplicate GUID - Mathematics Stack Exchange
$\frac{k!{\textstyle (}\genfrac{}{}{0ex}{}{n}{k}{\textstyle )}}{{n}^{k}}$ of NOT having a collision. (These are very large numbers to deal with, but that article has a section on approximations that might be useful.) Here is an example of a graph of the probability of a GUID collision occurring against number of GUIDs generated, plotted using Wolfram Alpha and the second approximation ...
Prove that that $U(n)$ is an abelian group.
Prove that that $U (n)$, which is the set of all numbers relatively prime to $n$ that are greater than or equal to one or less than or equal to $n-1$ is an Abelian ...
Hexadecimal value of a negative number? - Mathematics Stack Exchange
How can I find the hexadecimal value of negative number? I was studying from a slide that shows these values and there hexa's...! -3 = FDH -12 = F4H -48 = D0H -200 = 38H How?
What is a binary expansion of a real number?
Related to this question I asked. I want to know what is exactly meant by a binary expansion of a number, real or natural. Can someone show me via example, how would you binary expand a real number
Limit sequence (Un) and (Vn) - Mathematics Stack Exchange
Limit sequence (Un) and (Vn) Ask Question Asked 9 years, 7 months ago Modified 9 years, 7 months ago
$\\operatorname{Aut}(\\mathbb Z_n)$ is isomorphic to $U_n$.
It might be using ring theory in a non-essential way, but it is conceptually simpler because the endomorphisms are easier to describe than the automorphisms, and since the invertible elements of Zn Z n ${\mathbb{Z}}_{n}$ are by definition Un U n ${U}_{n}$, we obtain the result without having to understand what Un U n ${U}_{n}$ actually looks like.
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