Michael Joyce

New Orleans, LA

math.tulane.edu/~mjoyce3

Age: 36

I am interested in algebraic combinatorics, especially in the combinatorics of orbits of a Borel subgroup on spherical varieties.
2d
revised Material in a first course in algebraic geometry?
added 3 characters in body
Feb
25
comment How to evaluate $\int_0^1 \frac{\sqrt x}{1+x} dx$?
Hint: $\frac{u^2}{1 + u^2} = \frac{1 + u^2}{1 + u^2} - \frac{1}{1 + u^2}$.
Feb
18
answered Trouble understanding Eisenbud Exercise 2.19a
Feb
6
revised Good ways of explaining the idea of epsilon-delta limits to bio & chem majors?
added 220 characters in body
Feb
6
comment How to create a misuse of calculator!
That's an interesting historical fact that $-25$ was one vote away from being equal to $(-5)^2$. Sounds like it must have been a hotly contested election! :)
Feb
6
answered Good ways of explaining the idea of epsilon-delta limits to bio & chem majors?
Jan
23
comment Combinatorics using a geometric diagram
I assume that in each step you have to move a given row to the row below it? There are multiple ways to interpret what a path is, as written.
Jan
23
comment Proving that $(u+v)×w=u×w+v×w$
If you don't know the number of dimensions, how do you expect us to know the number of dimensions? This sounds like a question of clarification that you should ask your instructor. (That said, the cross product is normally only defined for vectors in $\mathbb{R}^3$, so that's probably a pretty safe assumption. If you don't know the definition of cross product in $\mathbb{R}^3$, you'll surely need to look it up to construct a proof.)
Jan
22
comment Proving that $(u+v)×w=u×w+v×w$
How about writing out the components of the vectors $\vec{u}, \vec{v}, \vec{w}$ and computing each side?
Jan
21
answered Why does eliminating from linear equations work but adding them does not?
Jan
16
revised How to find critical points of the following polynomial?
fixed numerous grammatical and spelling errors
Jan
14
revised Is there a standard name for this poset
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Jan
14
comment Is there a standard name for this poset
I guess I abuse language and would call this the Bruhat order. Or I might call it the $Gr(k,n)$-Bruhat order. I think this is what most of the Schubert calculus world would do, but there may be a different name in other contexts.
Jan
14
answered Is there a standard name for this poset
Dec
26
comment Confusion regarding derivation of triangle inequality from Schwarz' inequality
Glad you got it sorted out! Cheers.
Dec
26
answered Confusion regarding derivation of triangle inequality from Schwarz' inequality
Dec
26
revised Confusion regarding derivation of triangle inequality from Schwarz' inequality
fixed formatting
Dec
19
awarded Constituent
Dec
10
awarded Excavator
Dec
8
awarded Caucus
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