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Tyler Hilton


Apr
7
comment Visually stunning math concepts which are easy to explain
Does this also explain why $\sin^2 + \cos^2 = 1$
Mar
16
comment Dimension of that sub Vector space?
I think I know this but how can you say "extend this basis to form the basis... of E"
Feb
26
awarded  Popular Question
Feb
23
awarded  Popular Question
Jan
12
comment $xay=a^{-1}$ implies $yax=a^{-1}$?
@GerryMyerson How can we garuntee that the x's cancel out in your third part.
Dec
25
awarded  Tumbleweed
Dec
19
awarded  Popular Question
Dec
18
asked Does there exist a function in $L^1$ such that $u * f = f$ for all f in $L^1$
Dec
18
asked showing a symbol is infinitely smoothing
Dec
15
comment About uniform boundedness theorem.
Just to add to this post, another way to see $F_n$ is closed: For any $x \in cl(F_n)$, there is a sequence in $F_n$, say $(x_j)$. This means for every fixed $T \in F_n$, we have that $|Tx_j| \leq n$. Then taking the limits on both sides, we see that $|Tx| \leq n$. This implies $x \in F_n$.
Dec
15
comment $x$-axis is meager set on $\mathbb{R}^2$
But does this show the closure of R as a subset of $R^2$ is empty? In other words, I am asking what IS the closure of $R$ as a subset
Dec
9
comment Separability of Banach Spaces
Why is $f(Y) = 0$ in your fourth sentence?
Dec
6
comment Geometric intuition behind the Uniform Boundedness Principle
Could you please expand on the last part of this answer?
Nov
9
comment How to prove that $(\mathbb{Z}, d)$ with $d(m,n)=\vert m -n \vert$ is complete
Ah I see. It means that $x_k$ and $x_l$ are the same eventually.
Nov
9
comment How to prove that $(\mathbb{Z}, d)$ with $d(m,n)=\vert m -n \vert$ is complete
@StefanH because elements are integers and so the min distance is 1. You say choose $\epsilon < 1$, but no two integers satisfy that.
Nov
8
comment How to prove that $(\mathbb{Z}, d)$ with $d(m,n)=\vert m -n \vert$ is complete
@StefanH doesn't this imply that Z is not complete?
Nov
8
comment What are some examples of notation that really improved mathematics?
I've edited my answer.
Nov
8
revised What are some examples of notation that really improved mathematics?
added more content to supplement and answer comment questions
Nov
8
answered What are some examples of notation that really improved mathematics?
Oct
20
comment Are there any open mathematical puzzles?
What is the importance of this conjecture?