37,065 reputation
353126
bio website davidlowryduda.com
location Providence, RI
age 25
visits member for 3 years, 3 months
seen 13 mins ago

I'm working on my Math PhD at Brown University. I've finished my second year, and now I pursue my interests in analytic number theory. In particular, I study automorphic forms under Dr. Jeff Hoffstein.

I happen to loosely update a math blog at davidlowryduda.com. I put a lot of MSE things on there too, though a lot of the material caters to whatever class I'm teaching at the time (this fall, calc I).


8h
revised Intuition concerning Riemann Sums
added 606 characters in body
8h
comment Intuition concerning Riemann Sums
Ah, I shouldn't be writing this at all. I'll direct you to more.
18h
comment Intuition concerning Riemann Sums
@user: By a particular theorem, are you asking if it has a name? Not that I know of. Do you want me to provide a proof?
20h
answered PLotting a Gaussian in python
21h
comment Unique Products on a Times Table
This is the multiplication table problem of Erdos. A preprint of a paper appearing in the Annals, the premier math journal, has Asymptotics on this. It appears at the bottom of pg 372 and the top of pg 373.
1d
comment Intuition concerning Riemann Sums
No, not only for continuous functions. But it is true for continuous functions. It's also true for monotonic functions
1d
answered Intuition concerning Riemann Sums
1d
comment Solving equations with dozens of ceil and floor functions efficiently?
What can you say about the $C_j$s? Are they always positive, for instance?
1d
comment Advice on helping a talented highschool student
It is possible (though uncertain) that this would be better received at Mathematics Educators
1d
comment Does 0% chance mean impossible?
No, the probability really is zero. And no, probability zero does not mean impossible.
1d
answered If $a>1$, prove that $\lim_{n \rightarrow \infty } a^n = \infty$
1d
revised How do I form these quadratic equations
deleted 7 characters in body; edited tags
1d
revised Finding the range of $f(x) = 5-x$
added 2 characters in body; edited tags; edited title
1d
revised Algebra clock problem
edited tags
2d
comment Proof of Descartes' theorem
If you search "Proof of Descartes Theorem" on google yields this proof as the first answer on my search. It seems pretty understandable, but longer than I would want to reproduce here.
Jul
28
comment For all $x$ in $[0,90]$ show that $\cos(\sin x ) >\sin(\cos x )$
Oh, very rude. You'll probably find that people don't react very kindly to unkindness.
Jul
28
answered Projection equation
Jul
28
comment How to find an angle (in degrees) in a right triangle, given its sides?
@user3279266: no problem. It's commonly overlooked. Depending on what you're learning trig for, you may want to get to know radians better. If you're learning calculus, for example, radians are more useful.
Jul
28
answered How to find an angle (in degrees) in a right triangle, given its sides?
Jul
28
answered Basic question about angles