(Un-)Countable union of open sets - Mathematics Stack Exchange
$\begingroup$ 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.
Prove that the sequence (1+1/n)^n is convergent [duplicate]
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Typo on Wikipedia? Dimension of - Mathematics Stack Exchange
Jan 29, 2015 · 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.
Equation of a rectangle - Mathematics Stack Exchange
Oct 2, 2011 · 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:
Expectation of Minimum of $n$ i.i.d. uniform random variables.
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How do we calculate factorials for numbers with decimal places?
I was playing with my calculator when I tried $1.5!$. It came out to be $1.32934038817$. Now my question is that isn't factorial for natural numbers only? Like $2!$ is $2\\times1$, but how do we e...
Calculate the cohomology group of $U(n)$ by spectral sequence.
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Divergence of series sin(1/n) - Mathematics Stack Exchange
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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.
General term formula of series 1/1 + 1/2 + 1/3 ... +1/n
I can give you a good approximation if you would prefer: $$\ln(n+1)\le\sum_{i=1}^n\frac1i\le\ln(n)+1$$ This is a rather tight upper limit and lower limit you can use to approximate your answer.