11,103 reputation
21138
bio website math.berkeley.edu/~cawong
location Berkeley, CA
age 25
visits member for 2 years, 11 months
seen 8 hours ago

I am a fourth-year mathematics graduate student at the University of California, Berkeley.

I graduated with a B.S. in Applied and Computational Mathematics from the California Institute of Technology.

My general mathematical interests include applied functional analysis, numerical analysis, harmonic analysis, partial differential equations, numerical linear algebra, and mathematical and computational biology, chemistry, and physics.


Nov
24
comment Comparing probabilities
Yes, I understand that, but you haven't stated the relationship between the two events. In particular, my objection was that the two events are not independent. How is it possible to win the lottery if you were never born?
Nov
24
comment Comparing probabilities
There are some possible ambiguities. There is a definite "face value" answer, but because of the specific events chosen, there are additional possible interpretations. In particular, is it possible that you mean the probability of winning the lottery given that you are born?
Nov
24
comment I need someone who is willing to actually answer this volume of revolution question!
You should not ask the same question twice.
Nov
21
comment examples on double dual spaces
Though I am by no means an expert, in my experience, the double dual of a non-reflexive space is usually mildly complicated, since taking the dual greatly "expands" a vector space.
Nov
21
comment Matrix Norm of a Symmetric Matrix
Try testing your claim with a $2 \times 2$ diagonal matrix.
Nov
21
comment Sum function operation: coefficient.
Yes, you'll need to separate terms into those where $k = 2m$ and those where $k = 2m + 1$. Note that we are actually concerned with the parity of $n - k$, not $k$, so that which is real/imaginary depends on the parity of $n$. You can avoid this by performing the binomial expansion with $i \sin{\alpha}$ as the first term in the product, rather than the second.
Nov
21
comment Simple $L^p$ space question
See math.stackexchange.com/questions/138043/…
Nov
20
comment Undergraduate Research Ideas?
This would be best discussed with your academic adviser or a math professor you have taken a course with. It's quite hard to come up with a good topic -- something that is both doable but not trivial -- without help from somebody who knows your abilities.
Nov
20
answered What is the meaning of “Hermitian”?
Nov
20
reviewed Leave Open Computing the expected value of the product of two discrete variables
Nov
20
reviewed Leave Open Evaluation of $-\int e^{\cos(t)}\sin(\sin(t)+t)\,dt $
Nov
20
reviewed Leave Open How can I predict what numbers “work” without brute force?
Nov
20
reviewed Close Prove $-1$ and $1$ are the only units in $\mathbb{Z}$
Nov
20
reviewed Close slaters condition - Duality - KKT condition
Nov
20
reviewed Leave Open If there is a 10% chance of me winning a tennis match…
Nov
20
reviewed Leave Open Integer solution for $Rx^2+Sy^2=1$ .
Nov
20
reviewed Leave Open Motivation for and differences between properties of measure, outer measure
Nov
20
reviewed Leave Open Limit of stochastic process
Nov
20
reviewed Close Calculate the $\lim\limits_{n \to + \infty } \sum\limits_{k = 0}^n \frac{\tan ^{ - 1} (k)}{n} $
Nov
20
reviewed Close second order homogenous linear ODE with variable coefficients