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I'm currently a graduate student at University of Washington. I'm interested in combinatorics.


Sep
24
awarded  Autobiographer
Sep
18
answered Simpler formula for number of ways to pair up (or not ) $2n$ objects?
Sep
14
answered Undergraduate mathematical magazines to improve mathematical knowledge
Sep
14
comment Can the proof of Theorem 1.20 (b) in the book, The Principles of Mathematical Analysis by Walter Rudin, 3rd ed., be improved?
I would describe the idea of the proof as follows. We note that if $y-x > 1$, then there must be an integer in between $x$ and $y$, and we are done. If not, well, we can use the Archimedean principle to scale the entire real line by an integer $n$ so that $y-x$ "becomes" greater than one. This scaling preserves rationality and gives us what we want.
Sep
11
reviewed Approve suggested edit on Convergence in conditional distribution
Sep
11
comment What is the purpose for defining a field for a probability space?
You're right that it's not really necessary to discuss fields in the example you give. In the case of a finite probability space, the field is usually just the power set. However, for some infinite probability spaces it's not possible to use the power set as the field, because some sets are not measurable.
Sep
11
reviewed Reject suggested edit on Group Property of element
Sep
11
reviewed Reject suggested edit on Doubt pertaining to this Equivalence Relation.
Sep
11
comment Logical Notations for Descriptive Mathematical Statements
What you have written means that every integer greater than one has every prime as a divisor, which is obviously not right. I don't know how to answer this question, because I don't know what notation you're allowed to use. Are you sure the symbol $|$ in $p|n$ is allowed? If not, you could write $\exists k\in \mathbb{Z} \, pk = n$ instead.
Sep
10
comment A lattice generated by two particular sublattices of the lattice of binary relations
If I understand this correctly, $\Gamma = \mathscr{P}(U \times U)$ when $U$ is finite, yes? So the question is only interesting when $U$ is infinite. What kind of a description would constitute an answer to this question?
Sep
10
comment Comparing asymptotic growth of logarithmic functions by reasoning
If you're trying to write a formal proof the easiest way is probably to divide them and take the limit. If you just want an intuitive understanding, I would just say that the logarithm function grows very slowly, so if there are more rapidly growing factors you can ignore the logs on both sides. We have $n^2 \gg n$ for large $n$.
Sep
9
comment Necessary condition for symmetric sums
Are you assuming $g(x,y)$ is a polynomial, and symmetric in $x,y$? If so, a necessary and sufficient is that there are no terms in $f(x_1,x_2,x_3)$ with a factor of $x_1x_2x_3$. Put another way, $\frac{\partial}{\partial x_1} \frac{\partial}{\partial x_2} \frac{\partial}{\partial x_3} f = 0$.
Sep
9
reviewed Approve suggested edit on For every $n\in \Bbb N$ with $n\ge4$, find two even permutations $\sigma, \tau \in S_{n}$, satisfying $\sigma\tau \ne\tau\sigma$
Sep
6
comment How to use a computer to give guesses for a counting formula, given the first few terms?
You can check if it appears to obey a linear recurrence relation. See this question, for example.
Sep
4
awarded  Custodian
Sep
3
comment Can I conjugate a complex number : $\sqrt{a+ib}$?
Oh, I see what you mean. Thank you.
Sep
3
revised Can I conjugate a complex number : $\sqrt{a+ib}$?
added 29 characters in body
Sep
3
comment Can I conjugate a complex number : $\sqrt{a+ib}$?
@Did Are you referring to the last equation I wrote? I was generalizing to say that $\overline{zw} = \bar{z}\bar{w}$ for all $z,w \in \mathbb{C}$, but maybe that was unclear since I didn't say what $w$ was.
Sep
3
answered Encyclopedia of integers
Sep
3
answered Can I conjugate a complex number : $\sqrt{a+ib}$?