472 reputation
621
bio website
location Southern California
age 18
visits member for 2 years, 8 months
seen yesterday

Hi, I'm Cole. Here's my Twitter. I'm the creator of iDecryptIt, and the founder of Hexware.

profile for Cole Johnson on Stack Exchange, a network of free, community-driven Q&A sites" title="profile for Cole Johnson on Stack Exchange, a network of free, community-driven Q&A sites


1d
revised When does the integral converges?
you "approved" using WolframAlpha? It should be "I 'proved' (using WA)..."
1d
suggested approved edit on When does the integral converges?
Jan
26
awarded  Notable Question
Jan
16
revised Why does $2^{-n} = 5^n \times 10^{-n}$?
deleted 297 characters in body
Dec
22
comment Fermat's Last Theorem (Case n = 3) Question
@chiru Clearly you mean $(0, 1, 1)$.
Dec
9
awarded  Caucus
Oct
29
revised How do you solve a logarithm with a non-integer base?
fixed up question body
Oct
29
suggested approved edit on How do you solve a logarithm with a non-integer base?
Sep
29
comment A question regarding continuity and limits.
"I have a function $f$ that is continuous". No, it's not. It has a "hole" (or discontinuity) at $f(4)$. If you're question was written as $\lim_{x\to4}\frac{x-4}{\sqrt{x}-2}$, that's a different problem.
Sep
28
comment I can't understand logical implication
@gebruiker Correlation does not imply causation.
Sep
24
awarded  Autobiographer
Sep
7
comment How do I prove that any unit fraction can be represented as the sum of two other distinct unit fractions?
@DavidH variables are commonly lowercase, and the original question has been edited.
Sep
7
revised How do I prove that any unit fraction can be represented as the sum of two other distinct unit fractions?
Better title; formatted fractions using \frac
Sep
7
comment How do I prove that any unit fraction can be represented as the sum of two other distinct unit fractions?
Can you make the $N$ lowercase?
Sep
7
suggested approved edit on How do I prove that any unit fraction can be represented as the sum of two other distinct unit fractions?
Sep
7
comment How do I prove that any unit fraction can be represented as the sum of two other distinct unit fractions?
Why can't $n = 1$? $\frac11$ is a unit fraction, no? Or is the reasoning that $\frac1n$ must be in the range $(-1, 0), (0, 1)$?
Sep
7
comment Is the following limit undefined?
Unless a direction is specified. $\lim_{x\to0}\operatorname{sgn}(x)$ is undefined, but $\lim_{x\to0^+}\operatorname{sgn}(x)$ is $1$.
Sep
5
comment General formula of repeated roots.
@djechlin How so? If $k = 0$, we have: $$\underbrace{\sqrt{0\sqrt{0\sqrt{0\sqrt{\cdots\sqrt{0}}}}}}_{n\text { times}}=0^{1-1/2^n}$$ Which simplifies to $0=0^{1-1/2^n}$, and unless $n = 0$ ($1-1/2^0 = 0$), we get $0=0^1$ which is obviously true.
Sep
3
comment Get $5$ by doing any operations with four $7$s
@chiastic-security I don't see how that works. We're talking about functions. Darth Geek said squaring shouldn't be allowed because it's contains a $2$. We are arguing that there would be no problem if $\operatorname{sqr}(7)$ had been written.
Sep
3
comment Get $5$ by doing any operations with four $7$s
@user142198 I know! Isn't it great how time works?