460 reputation
521
bio website
location Southern California
age 18
visits member for 2 years, 7 months
seen Dec 14 at 6:48

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


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?
Sep
2
comment Get $5$ by doing any operations with four $7$s
Kind of a duplicate of the accepted answer.
Sep
2
comment Get $5$ by doing any operations with four $7$s
If using $2$ for a squaring operation is not allowed, using square roots shouldn't be allowed as they are the same as raising to the ${^1/_2}$ power.
Aug
29
comment What is the average of no numbers?
@BrianS Except that Float and Double extend from Object (in C# and Java), so a function returning either could easily return null.
Aug
22
awarded  Popular Question
Aug
12
revised How do I solve $\vert x\vert^{x^2-2x} = 1$?
fixed up english