53,939 reputation
6109422
bio website cs.smith.edu/~orourke
location Smith College, U.S.
age
visits member for 4 years, 11 months
seen 4 hours ago

Professor of Computer Science; Professor of Mathematics; Associate Provost & Dean.


5h
revised Random Diophantine polynomials: Percent solvable?
added 230 characters in body
5h
comment Random Diophantine polynomials: Percent solvable?
@IgorRivin: Generate $d+1$ random coefficients within $\pm c_\max$: independent, uniform. Then solve the polynomials, see if any integer solutions.
6h
revised Random Diophantine polynomials: Percent solvable?
added 160 characters in body
6h
asked Random Diophantine polynomials: Percent solvable?
14h
comment Average height of rational points on a curve
Thank you for those details, that clarifies much.
14h
comment how should one locate ambulance stations so as to best serve the needs of the community..tnx
Search for "Voronoi diagram."
1d
comment Average height of rational points on a curve
It would be educational to me to know if Joe Silverman's definition of avg height converges or diverges for the unit circle $C$: $x^2+y^2=1$.
1d
accepted Average height of rational points on a curve
1d
comment Average height of rational points on a curve
Your addendum spells out what I was seeking. Thanks!
1d
comment How many unit simplices are needed to cover a unit $n$-cube?
Very clever to use the icosahedron in this fashion!
2d
asked Average height of rational points on a curve
Apr
22
comment Largest regular $k$-simplex inscribed in a $d$-cube, $k < d$
Full reference: Hudelson, Matthew, Victor Klee, and David Larman. "Largest $j$-simplices in $d$-cubes: some relatives of the Hadamard maximum determinant problem." Linear algebra and its applications. 241 (1996): 519-598.
Apr
22
asked Largest regular $k$-simplex inscribed in a $d$-cube, $k < d$
Apr
21
awarded  Good Question
Apr
21
awarded  Notable Question
Apr
20
accepted Primes isolated by large gaps to either side
Apr
19
revised Repeated random two-steps in $\mathbb{R}^3$: unbounded?
\cdot => \circ for composition.
Apr
19
reviewed Leave Open Global and local maxima in a weighted sum of logarithms of linear functionals?
Apr
19
revised Repeated random two-steps in $\mathbb{R}^3$: unbounded?
Retagged as per Ricardo Andrade's project: geometry => metric-geometry
Apr
19
reviewed Leave Closed boundedness of a sequence $ \in L^{\infty}(I,H^1(M))\cap Lip(I,L^2(M))$ implies that its temporal derivative is bounded as well