# Tagged Questions

For questions whose answers can't be objectively evaluated as correct or incorrect, but which are still relevant to this site. Please be specific about what you are after.

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### How did self-similarity come into mathematics?

As far as I understand the interest in self-similarity was born outside of mathematics. The textbooks I came across give a few objects as examples (tree, broccoli, river, etc) yet it's clear that the ...
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### The indeterminate form problem

How to solve for $a$ $a\pm k$(k being any real number other $0$)=$\frac{a}{a}=a^2=a$ Find $a$ ( $k$ is any real number other than $0$ The only solution I could think of is $$\frac{0}{0}$$ But does ...
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### Results in graph theory proved using other areas of math, and vice versa

I'm curious about learning graph theory, as it seems to pop up in some unexpected places. In order to get a partial feel for the subject, I was wondering if anyone could point me to some survey ...
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### Algebraic extension of an abelian group.

Let $H \leqslant G$ be abelian groups. Suppose there were $k \gt 1$, $x \in G \setminus H$, such that $x^k = b \in H$. Then Define $H(x) = \{h x^n : n \in \Bbb{Z}, h \in H\}$ to be a simple ...
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### Lebesgue Integral, Riemann Integral and Integrals of all sorts

I've heard people refer to the Riemann integral as a "teaching integral" and in a sequence of an analysis course at my school (which is rarely offered) we discuss the mysterious Lebesgue integral. I ...
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### List of Bounds of $n$-th composite

I am looking for a list of all the bounds on $c_n$, the $n$-th composite. There is a trivial bound $2n \geq c_n >n$ $\forall n \geq 5$. But I am looking for bounds stronger than this. I have ...
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### Classification systems for mathematics.

Mathematics is a very broad topic nowadays, and it seems to be coming more and more obscure. I was wondering as to whether any organisations have implemented a classification system or organisational ...
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### How do mathematicians think about the existence of numbers?

Question: How do mathematicians think about the existence of numbers? And how did Newton, Euler, and other famous mathematicians thought about this concept? I know that existence of numbers is a big ...
From Stokes theorem, it is easy to prove the folowing proposition: $\int\int_\vec{S}\vec{F}d\vec{S}=0$ if $\vec{F}=curl$ $\vec{G}$ for vector fields $\vec{F}$ and $\vec{G}$ and a closed parametrized ...