bio | website | gilkalai.wordpress.com |
---|---|---|
location | Jerusalem | |
age | 59 | |
visits | member for | 5 years, 2 months |
seen | 28 mins ago | |
stats | profile views | 17,409 |
Professor of Mathematics at the Hebrew University of Jerusalem and at Yale University
Nov 11 |
comment |
What precisely Is “Categorification”?
Is moving from the notion of "Euler characteristic" to the notion of "homology" a sort of prototype to categorification? |
Nov 11 |
answered | Fundamental Examples |
Nov 11 |
answered | Fundamental Examples |
Nov 11 |
answered | What is the first interesting theorem in (insert subject here)? |
Nov 11 |
comment |
Fundamental Examples
It is interesting, but this is a theorem, not an example right? |
Nov 11 |
asked | Fundamental Examples |
Nov 11 |
answered | Super-linear time complexity lower bounds for any natural problem in NP? |
Nov 10 |
answered | Where does a math person go to learn quantum mechanics? |
Nov 10 |
awarded | Nice Question |
Nov 10 |
comment |
Is formal proof (formalized mathematics) interesting to practicing mathematicians? To educators?
This is a fairly interesting question. There are many questions with no definite answers (like what is the most harmful heuristic) and I do not see the reason to close it. |
Nov 10 |
asked | What precisely Is “Categorification”? |
Nov 9 |
comment |
f(f(x))=exp(x)-1 and other functions “just in the middle” between linear and exponential.
One answer, now in a community wiki, was marked as "the accepted answer". Feel free to edit it or to add more answers. |
Nov 9 |
comment |
f(f(x))=exp(x)-1 and other functions “just in the middle” between linear and exponential.
To get roughly an intermediate growth rate of the kind we ask in the question we can define f(2^2^2^...^2)=(2^2^2^...^3) where in both sides we take a tower of length k, and then find a nice extrapolation. |
Nov 9 |
comment |
How Does Random Noise Typically Look?
I improved the text, I hope it is clearer now. |
Nov 9 |
revised |
How Does Random Noise Typically Look?
added 351 characters in body |
Nov 9 |
comment |
How Does Random Noise Typically Look?
Thanks, Greg. Right. This is a question where the notion of random operation is rather clear in the quantum case (but never mind if this does not ring a bell) and not clear (to me) for the classic/digital case. I agree that random permutation for 0-1 strings of length n is not necessarily the right analog for random unitary operator on the space of n qubits but part of the question is to proposes the "right" analog. |
Nov 9 |
asked | How Does Random Noise Typically Look? |
Nov 9 |
comment |
The Sylvester Gallai Theorem and Sections of Varieties with “Simple Topology”.
For example; suppose you have a 2 dimensional real algebraic variety V embedded in a high dimensional space (but not in any subspace). Can you find a plane L whose intersection with V affinely span V and belongs to one of a small number of homotopy type? |
Nov 9 |
revised |
Why do functions in complex analysis behave so well? (as opposed to functions in real analysis)
added 270 characters in body |
Nov 9 |
comment |
The Sylvester Gallai Theorem and Sections of Varieties with “Simple Topology”.
Thanks, Joe. I corrected it now. |