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visits member for 3 years, 8 months
seen Nov 4 at 6:15

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
16
comment Area of a part of a square
@Maroon We can do a little better than that, with $L^2\in (18,26)$. It seems to me that $A$ should be unique, since choosing the central point provides two degrees of freedom while we are given three values, but I can't prove it off the top of my head.
May
16
revised Area of a part of a square
made more rigorous and formal
May
16
comment Can the norm of a non-algebraic integer be an integer?
When you say non-algebraic integer, do you mean an algebraic element of the extension which is not an algebraic integer?
May
16
comment Breaking even: is there a point where you can always profit?
@nononono $\frac{9}{2}=1+y=1+\frac{7}{2}$.
May
16
comment Conditional Random Variable and Iterated Expectation
@sandra Here $A$ is not a random variable, it is an event.
May
16
revised PUGS is a rectangle. If the equation of PU is $y=\frac{2}{3x} + 4$. What is the slope of SP?
fixed error introduced by previous edit
May
15
awarded  Nice Question
May
15
comment Calculating fundamental group and homology group to prove not homeomorphic to each other
@MarianoSuárez-Alvarez Yes, thanks.
May
15
revised Calculating fundamental group and homology group to prove not homeomorphic to each other
added 1 character in body
May
15
answered Calculating fundamental group and homology group to prove not homeomorphic to each other
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.