bio | website | gilkalai.wordpress.com |
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location | Jerusalem | |
age | 58 | |
visits | member for | 4 years, 5 months |
seen | 8 mins ago | |
stats | profile views | 16,429 |
Professor of Mathematics at the Hebrew University of Jerusalem and at Yale University
Nov 13 |
revised |
f(f(x))=exp(x)-1 and other functions “just in the middle” between linear and exponential.
edited tags; edited tags |
Nov 13 |
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f(f(x))=exp(x)-1 and other functions “just in the middle” between linear and exponential.
I suppose we do not know if an entire function (or something close to entire) with such an intermediate growth function is possible, and also are such functions related to any mathematics. (Maybe they are related to formal groups.) |
Nov 13 |
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Fundamental Examples
The wiki entry is en.wikipedia.org/wiki/Tsirelson_space . See also a discussion on Gowers's blog gowers.wordpress.com/2009/02/17/… |
Nov 13 |
answered | Fundamental Examples |
Nov 13 |
comment |
Fundamental Examples
Here is a nice link for the figure eight knot mathworld.wolfram.com/FigureEightKnot.html . The trefoil knot en.wikipedia.org/wiki/Trefoil_knot is a basic example in knot theory. |
Nov 13 |
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What precisely Is “Categorification”?
Moving from "Euler characteristic" to "homology" was mentioned as a basic example. Moving from "Betti numbers" to "homology groups" is claimed as an even better example of categorification but I do not understand this claim. |
Nov 13 |
answered | Fundamental Examples |
Nov 12 |
answered | Fundamental Examples |
Nov 12 |
comment |
Fundamental Examples
I agree. I would also add the Fibonacci numbers en.wikipedia.org/wiki/Fibonacci_number . Fibonacci numbers lead to rational generating functions and Catalan numbers to rational generating functions. The Catalan numbers appear in an amazing number of different problems. |
Nov 12 |
answered | What is the first interesting theorem in (insert subject here)? |
Nov 12 |
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Fundamental Examples
Dear Andrew, I see your point; In any case, now that it is a community wiki some explenation for why an example is fundamental can be added by other participants. |
Nov 12 |
answered | Free, high quality mathematical writing online? |
Nov 12 |
revised |
How Does Random Noise Typically Look?
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Nov 12 |
revised |
How Does Random Noise Typically Look?
edited tags; edited tags |
Nov 12 |
answered | Fundamental Examples |
Nov 12 |
awarded | Self-Learner |
Nov 12 |
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Groupoid of moves on trivalent fatgraph
i did not understand the second move. But first what is a fatgraph? |
Nov 12 |
revised |
Fundamental Examples
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Nov 12 |
answered | Fundamental Examples |
Nov 12 |
answered | Fundamental Examples |