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11m
comment Inverse of the composition of two functions
@user3448295 is this more what you are looking for? $f$ invertible is sufficient for $F$ invertible.
11m
revised Inverse of the composition of two functions
added 388 characters in body
Feb
5
answered Inverse of the composition of two functions
Feb
5
answered Example of Topological Group
Feb
5
comment How to define “being inside of something” in the context of topology?
@LeeMosher I reacted to the title.
Feb
5
comment How to define “being inside of something” in the context of topology?
@amcalde ...but that is not true under homeomorphism and so not a topological property of a cup.
Feb
5
comment $G$ is a finite group, if $m\in \mathbb N$ such that $g^m=1$ for all $g\in G$, then $m=n$.
@TobiasKildetoft Well I'm not thinking of that one!
Feb
5
revised (i) $\{(x,y) \in \mathbb{R}^2 |\;xy = 1\}\,\bigcup\, \{(x,y) \in \mathbb{R}^2 |\;y = 0\}$ is not connected
edited title
Feb
5
comment $G$ is a finite group, if $m\in \mathbb N$ such that $g^m=1$ for all $g\in G$, then $m=n$.
A slip of the mind but thank you. The group we are referring to is the one that first came to mind for me.
Feb
5
comment $G$ is a finite group, if $m\in \mathbb N$ such that $g^m=1$ for all $g\in G$, then $m=n$.
...look at a group of order 8...
Feb
5
revised Proving non-repitition of a sequence
added 282 characters in body
Feb
5
comment How to define “being inside of something” in the context of topology?
Tea isn't inside a cup according to topology...
Feb
5
answered Proving non-repitition of a sequence
Feb
4
comment How to solve $\int \frac{1}{1-y^2}$ with respect to $y$?
-1 "A level"...
Feb
4
comment How to solve $\int \frac{1}{1-y^2}$ with respect to $y$?
Find would be a much better word than solve.
Feb
3
comment Why is it valid to set $r=e^t$ in $f(r)=\frac{r+r^{-1}}{2}$?
If $r$ is positive then there exists a unique $t$ such that $r=e^t$... this $t=\ln r$.
Feb
2
comment How could we define the factorial of a matrix?
Is this answer the fastest to get to 100 upvotes?
Jan
28
revised How to find the distance between two planes?
edited body
Jan
24
answered Where are the particular and homogeneous solution of the ODE when using Laplace?
Jan
24
comment What is difference between open set and open interval?
All open intervals are open sets but not all open sets are open intervals. Intervals are connected.