bio | website | vmm.math.uci.edu |
---|---|---|
location | Univ. of California at Irvine | |
age | 84 | |
visits | member for | 5 years, 1 month |
seen | May 14 at 20:21 | |
stats | profile views | 7,186 |
I'm a Professor at UC Irvine, but spent most of my career at Brandeis. My research areas: Differential Topology, Transformation Groups, and Global Analysis. Recently I developed a math visualization program, 3D-XplorMath, freely available at http://3D-XplorMath.org) and a companion website, the Virtual Math Museum at http://VirtualMathMuseum.org. Last year I co-authored a differential equations text with my son Bob, most of which is downloadable from http://ode-math.com .
Sep 21 |
revised |
Definition of Sobolev spaces as a space of sections of certain type
Added a link to a copy of referenced work; deleted 1 characters in body; added 1 characters in body |
Sep 20 |
answered | Definition of Sobolev spaces as a space of sections of certain type |
Sep 19 |
comment |
Collapsing of Riemannian manifolds with a group action
"...Consider the fixed point set F, it is of course a submanifold of M by the slice theorem". Note that it is really simpler than that; in geodesic coordinates at a point p of F, the fixed point set is locally the linear subspace left fixed by the linearized action at p. |
Sep 15 |
comment |
First known proof of $\sqrt 2$ is irrational with prime factorization?
Your right Franz, it doesn't. It's just that there seems to be a belief that you NEED unique prime factorization to prove the irrationality of non-square integers, and when I first saw this (much more elementary) proof I found it an eye-opening experience. |
Sep 14 |
answered | First known proof of $\sqrt 2$ is irrational with prime factorization? |
Sep 3 |
comment |
Area of union of random circles in a plane
You will probably get a more "natural" answer if you choose a "torus", i.e., identify opposite edges of a square, to eliminate edge effects. |
Aug 31 |
awarded | Good Answer |
Aug 29 |
awarded | Nice Answer |
Aug 25 |
awarded | Enlightened |
Aug 25 |
awarded | Nice Answer |
Aug 25 |
revised |
Square root of a positive $C^\infty$ function.
improved citation |
Aug 25 |
comment |
Square root of a positive $C^\infty$ function.
Yes, and functions of this type are discussed in section 2 of the reference I gave in my answer. |
Aug 25 |
answered | Square root of a positive $C^\infty$ function. |
Aug 24 |
answered | Measure theory treatment geared toward the Riesz representation theorem |
Aug 16 |
awarded | Guru |
Aug 15 |
awarded | Enlightened |
Aug 15 |
awarded | Good Answer |
Aug 15 |
comment |
About a letter by Richard Palais of 1965.
@Mariano: Yes, I guess that was a pretty verbose "no". :-) Dick |
Aug 15 |
awarded | Nice Answer |
Aug 15 |
answered | About a letter by Richard Palais of 1965. |