Why Are There No Triple Affine Hecke Algebras?
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I have a very basic question. A set is affine if [math]\sum w_i x_i[/math] also lies in set A. ([math]\sum w_i = 1[/math]) A set is convex if [math]\sum w_i x_i[/math] also lies in set C ([math]\sum w_i = 1, w_i \geq 0[/math]) Then how is every affine...
Answer:
Very intuitively, an Affine set contains a line through any two distinct points in the set. This means...
Billy Okal at Quora Mark as irrelevant Undo
A group is a set together with an associative law of composition that contains the identity and inverses. I can understand the basic definitions of Lie groups and Lie algebras. Lie algebras are apparently used to study Lie groups. I'd like to know what...
Answer:
Lie algebras describe continuous symmetries in infinitesimal form--- so if you have a geometrical continuous...
Ron Maimon at Quora Mark as irrelevant Undo
Give an explicit formula for the affine map θ : R → R carrying [ S1 , S2 ]→ [t1 , t2] with θ(Si) = ti , i=1,2 . In particular, give a formula for the affine map taking [32,212] on to [0,100]. (Hint: θ(x) = λx +x0).
Answer:
To map [32, 212] onto [0, 100], use Theta(x) = [(100-0)/(212-32)][x-32], or Theta(x)=5/9(x-32). As you...
mojir k at Yahoo! Answers Mark as irrelevant Undo
Surprisingly: VLfeat does not implement affine detectors. I don't intend to use an hack and slash method - Use oxford affine detectors followed by VLFeat sift to find orientations. VLFeat may multiple response for each frame. Now find out the mapping...
Answer:
Check this out: Affine Covariant Region Detectors http://www.robots.ox.ac.uk/~vgg/...
Ankur Gupta at Quora Mark as irrelevant Undo
What makes one affine connection "dual" to another? In what sense is dual being used here? About the E&M algorithm: "In information geometry, the E step and the M step are interpreted as projections under dual affine connections"...
Answer:
Let M be a manifold. [math] \nabla [/math] and [math] \nabla^\ast [/math] are dual with respect to...
Hamilton Chong at Quora Mark as irrelevant Undo
Related How can Lie algebras be described in layman's terms? http://en.wikipedia.org/wiki/Alg...
Answer:
There's no such thing as a "forks algebra." The dining philosopher problem has a group of...
Daniel McLaury at Quora Mark as irrelevant Undo
i am aware that the real numbers, the complexes, quaternions and octonions are the only division algebras that exist. As John Graves wrote to Hamilton: “If with your alchemy you can make three pounds of gold (complexes),why should you stop...
Answer:
First of all, there are infinitely many division algebras. For example, any field is a division algebra...
Daniel McLaury at Quora Mark as irrelevant Undo
Aslaksen, Helmer, and Arne B. Sletsjøe. "Generators of matrix algebras in dimension 2 and 3." Linear Algebra and its Applications 430.1 (2009): 1-6. (follow-up of What was the paper that took many years to get published?)
Answer:
My father is a colleague of the authors, so I got in touch with Helmer Aslaksen through him. He pointed...
Torkil Vederhus at Quora Mark as irrelevant Undo
Especially in relation to Lie algebras
Answer:
Well, you have the theory of Coxeter groups that can be defined in two following ways (see Reflection...
Mathieu Dutour Sikiric at Quora Mark as irrelevant Undo
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