203 reputation
19
bio website
location British Columbia, Canada
age
visits member for 3 years, 8 months
seen 20 hours ago

Apr
14
comment Limit is found using polar coordinates but it is not supposed to exist.
@heropup: Can I ask how you made this plot?
Jan
15
awarded  Yearling
Nov
21
comment Find All Cycles (Faces) In a Graph
@hardmath Thank you very much for this algorithm description, it has helped me wrap my head around how I can enumerate the cycles in a planar graph.
Jun
13
comment Intuitive meaning of Exact Sequence
What is a "syzygy" because I sure don't know: ams.org/notices/200604/what-is.pdf
May
14
awarded  Caucus
Mar
1
comment Uncertainty of process used in simple proof that there exists no rational number whose square is 2.
@AlexHeuman: What I was trying to say: why does the theorem statement mention $\sqrt{2}$ when clearly you are trying to prove something general. That is something akin to stating a corollary of a theorem, proving a general theorem, then applying the theorem to show the corollary, without ever stating the general theorem you wanted to prove. Its just bad math writing style in my opinion.
Mar
1
comment Uncertainty of process used in simple proof that there exists no rational number whose square is 2.
How can this be the proof when you make no mention of $\sqrt{2}$?
Feb
19
answered What is the problem in happily using the MacLaurin expansion of $e^x$ with $e^{ix}$?
Jul
4
answered Free probability background requirements
Mar
13
comment I have to show that the matrix $M^TM$ is SPD if and only if the columns of the matrix M are linearly independent
Since M is m x n I think eigenvalue analysis is not general enough. It only deals with linear operators from one linear space mapping to the same linear space.
Mar
2
comment Showing a function is holomorphic
Usually commuting limits and integrals is allowed when uniform convergence is satisfied. That is, if you a (2 dimensional) series of functions $f_{n,m}(x)$ then if $f_{n,m}$ converges uniformly we have $\lim_{n\rightarrow \infty}\lim_{m\rightarrow\infty}f_{n,m}(x)=\lim_{m \rightarrow \infty}\lim_{n \rightarrow \infty}f_{n,m}(x)$, but without uniform convergence, this result is not true in general.
Feb
5
awarded  Commentator
Feb
5
comment Solving a Recurrence Relation/Equation, is there more than 1 way to solve this?
You can show your appreciation by upvoting ... +1
Feb
5
awarded  Student
Feb
5
comment is this line of thinking valid for quick solving?
I think the OP reasoning is a great way to use intuition to guess the answer, then prove it. But I feel you did correctly show that using that intuition, you can also write the same thing as a limit of $\infty \cdot 0$ which should always raise red flags. Also, to be nit picky, part of the reason the intuition doesn't work here is because $\lim (a+b) = \lim a + \lim b$ if and only if $\lim a$ and $\lim b$ exist and are finite.
Feb
5
awarded  Scholar
Feb
5
accepted Minesweeper Deterministic Solvability Conditions
Feb
5
comment Minesweeper Deterministic Solvability Conditions
Ohh... interesting indeed. Thanks :) should post that as an answer.
Feb
5
asked Minesweeper Deterministic Solvability Conditions
Jan
27
comment Intuition and Stumbling blocks in proving the finiteness of WC group
+1 for Friendly tone :) , quite lacking on this SE I noticed