9,331 reputation
22146
bio website gottwurfelt.wordpress.com
location Atlanta, GA
age 30
visits member for 4 years, 4 months
seen 8 hours ago

Data scientist and math blogger.


Oct
29
comment Expected number of turns for a rook to move to top right-most corner?
The fact that the move is to move to a random square in the same column or row - i. e. change one coordinate uniformly at random - explains why G7 is no closer to H8 than A1 is.
Oct
29
answered Calculate limit $\lim_{n\rightarrow\infty}\dfrac{(4n-100)^{4n-100}n^n}{(3n)^{3n}(2n)^{2n}}?$
Oct
29
comment Calculate limit $\lim_{n\rightarrow\infty}\dfrac{(4n-100)^{4n-100}n^n}{(3n)^{3n}(2n)^{2n}}?$
You're right. That'll teach me to do tricky limits in my head.
Oct
29
comment Are there other accumulation functions that holds $a(n-t)={a(n) \over a(t)}$?
Yes, if you assume that the function $a$ is continuous.
Oct
28
awarded  Custodian
Oct
28
reviewed Close Discrete math proof by contrapositive?
Oct
28
reviewed Leave Open Difference between power series method and Frobenius method
Oct
28
reviewed No Action Needed Matlab integral with parameter
Oct
28
reviewed Edit suggested edit on Difference between power series method and Frobenius method
Oct
28
revised Difference between power series method and Frobenius method
minor grammar changes
Oct
28
reviewed Reject suggested edit on Plot zeros of partial sum of zeta Riemann with Maple
Oct
28
answered Are there other accumulation functions that holds $a(n-t)={a(n) \over a(t)}$?
Oct
27
comment Calculate limit $\lim_{n\rightarrow\infty}\dfrac{(4n-100)^{4n-100}n^n}{(3n)^{3n}(2n)^{2n}}?$
It's not true that $\lim_{n \to \infty} (4n-100)^{4n-100} / (4n)^{4n} = 1$. This limit is $4^{-100}$. That being said, a constant factor won't have an effect on the limit going to infinity.
Oct
26
comment Mathematician vs. Computer: A Game
Let's let the largest number that can be picked be $n$ (so in the problem $n = 1000$.) If the mathematician picks a prime $p$, then they lose if a multiple of $p$ or a number less than $p$ is picked. There are $n/p + p$ such numbers (approximately), and this is minimized when $p = \sqrt{n}$.
Oct
24
revised Differences of grade between this three books
changed tags
Oct
24
comment $f\left(x + \frac1x\right)= x^3+x^{-3},$ find $f(x)$
If you do the algebra, it turns out that this gives $f(y) = y^3 - 3y$, agreeing with the answer many others have given.
Oct
23
awarded  Enlightened
Oct
23
awarded  Nice Answer
Oct
21
reviewed Approve suggested edit on Simple real life problem
Oct
21
reviewed Approve suggested edit on Inverse Trigonometric Integrals