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visits member for 3 years, 1 month
seen Jun 22 at 18:19

May
17
comment Nuking the Mosquito — ridiculously complicated ways to achieve very simple results
Huh, this is how I would solve it.
May
17
comment Nuking the Mosquito — ridiculously complicated ways to achieve very simple results
I wonder if any of them tried imagining the square. The official solution is fairly amusing :)
May
17
comment Nuking the Mosquito — ridiculously complicated ways to achieve very simple results
Isn't this true for all integrals? (not just integration by parts)
May
17
comment What is the most fundamental trigonometric function: cosine or sine?
Agreed. (Though I am biased towards $\cos(x)$ because of the Discrete Cosine Transform)
May
9
comment Hanging a picture on the wall using two nails in such a way that removing any nail makes the picture fall down
Ah, slots beside the nails. I knew there would be an easy solution ;)
May
9
comment Is there an identity for cos(ab)?
It does not have to be an integer: math.stackexchange.com/a/787186/12438
May
9
comment Is there an identity for cos(ab)?
@ColeJohnson There is a formula if $a$ is any integer.
May
8
answered Is there an identity for cos(ab)?
Apr
10
comment Visually deceptive “proofs” which are mathematically wrong
-_- Now that's just silly.
Apr
8
comment Visually deceptive “proofs” which are mathematically wrong
@Oliver They are not being serious, right?
Mar
28
comment Can a piece of A4 paper be folded so that it's thick enough to reach the moon?
Somehow I just knew someone here would brute-force 2^x :)
Mar
20
comment How does the exponent of a function effect the result?
What are you smoking? $x^\frac{m}{n}$ is perfectly defined!
Mar
17
comment Definition of convolution?
The Cross-correlation does use x+y.
Jan
23
comment How do I convince my students that the choice of variable of integration is irrelevant?
I just knew that someone would write a program to show this :P
Jan
4
awarded  Yearling
Nov
2
comment Find the limit of $\frac{\bar{z}}{z}$ as $z$ goes to $0$.
@DavidThompson For a limit to exist, it has to have the same value, no matter which direction you approach the limit from. This shows that the function approaches a different value depending on $t$.
Oct
29
comment How can I find the limiting value of a time-dependent PDE?
Perhaps you can take the laplace transform and then use the Final value theorem to find $f(\infty)$
Oct
29
comment Is $0^0=1$ postulate independent of all other axioms of complex numbers?
hmm... If you are referring to $g^0=e$ in that pdf, I guess that would be considered an axiom. However that is a statement for all $g\in G$. In that context, $0^0=1$ is a true statement derived from that axiom by substituting $g\to0$ so $0^0=1$ is not itself an axiom.
Oct
29
comment Is $0^0=1$ postulate independent of all other axioms of complex numbers?
@Anixx I believe $E(x)$ a unary operator that is similar to $f: y\to e^y$ and if you define the binary operator $f: (x,y)\to x^y$ and evaluate it at $(0,0)$ will will run into the same $\log{0}$ problem. $E(0)$ is just $e^0=1$.
Oct
29
comment Is $0^0=1$ postulate independent of all other axioms of complex numbers?
@Anixx I see that they explicitly define it in that article but I would not consider it an axiom because it can be derived from other definitions such as the recursive hyper operator or cardinality of sets.