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258114
bio website mathoverflow.net/users/13832/…
location Chicago, IL
age 20
visits member for 3 years, 5 months
seen May 31 at 6:42

Third year mathematics major at the University of Chicago, currently on leave. My research interest is billiards on polygons. You can contact me about mathematics at acbecker@uchicago.edu. For moderation issues, you will generally get a faster response by raising a flag on this site.


May
15
comment Random nonegative solution of multivariate linear Diophantine equation
Do you just need a solution, or do you need an algorithm which is equally likely to produce any of the solutions?
May
15
comment We can tell that f is not a translation or glide reflection (hence, it must be a rotation). How?
Are we assuming that $f$ is an isometry?
May
15
comment Is this math valid?
@MJD On the other hand, it is not unreasonable to assume the worst-case scenario in questions about regulation, esp. public health.
May
15
answered A matrix $M$ that commutes with any matrix is of the form $M=\alpha I$
May
15
comment Is this math valid?
I think the assumption is that the milk contains 100 micrograms per kilogram. Since two cups is about half of a kilogram, it would then contain about 50 micrograms.
May
14
comment Help with proving that the transpose of the product of any number of matrices is equal to the product of their transposes in reverse
@1west Try using induction. We have $A^TB^TC^T=(BA)^TC^T=(C(BA))^T=(CBA)^T$. Proceed in the same manner.
May
14
comment Do circles exist
$\pi$ is irrational, so its decimal expansion never ends, but that doesn't mean it doesn't exist.
May
14
comment Convergence of the series $\sum \frac{(-1)^{\sqrt{n}}}{n}.$
I'm a little confused. The real-analysis tag and $<$ sign seem to imply you're working in $\mathbb R$, but generally $(-21)^{\sqrt n}$ will not be real.
May
13
comment Find the volume of a cone whose length of its side is $R$
I have merged this question with your previous one.
May
13
comment True or False: $i^2 = -1$, $\mathbb{C} = \mathbb{R}^2$
@Optional I think this answers the part of your question that makes sense. If you understand this answer, then I can't understand what your remaining question is.
May
9
comment finite field extension and normality
What definition of normality are you using?
May
9
comment can I show this set is closed?
@DavidMitra I would go so far as to call this a duplicate of that question. Do you agree?
May
9
comment can I show this set is closed?
No, you cannot.
May
9
comment The Category of Small Categories: a Zoo of Functors.
Can you give an example of how it would be useful?
May
9
comment The Category of Small Categories: a Zoo of Functors.
I didn't downvote, but I'm not really sure why one would want such a site.
May
9
comment Question with Isolated Points
The idea is to find an interval around the isolated point which does not contain any other element of the set.
May
9
comment Limits Problem worked 2 ways gives 2 different answers
The complex conjugate, or just the conjugate?
May
9
comment What is the optimal strategy for this 2 player game?
@reddy Which contest? Can you provide us a link to confirm this?
May
8
comment Irreducible polynomial with given discriminant
Do you mean $\sqrt{D}\in K$?
May
8
comment Using math to help people
Our most upvoted question of all time might be helpful.