3
In algebra, plethysm is an operation on symmetric functions introduced by Dudley E. Littlewood, who denoted it by {λ} ⊗ {μ}. The word "plethysm" for this operation (after the Greek word πληθυσμός meaning "multiplication") was introduced later by Littlewood (1950, p. 289, 1950b, p.274), who said that the name was suggested by M. L. Clark.
If symmetric functions are identified with operations in lambda rings, then plethysm corresponds to composition of operations.
== In representation theory ==
Let V be a vector space over the complex numbers, considered as a representation of the general linear...
11
In mathematics, specifically bifurcation theory, the Feigenbaum constants are two mathematical constants which both express ratios in a bifurcation diagram for a non-linear map. They are named after the physicist Mitchell J. Feigenbaum.
== History ==
Feigenbaum originally related the first constant to the period-doubling bifurcations in the logistic map, but also showed it to hold for all one-dimensional maps with a single quadratic maximum. As a consequence of this generality, every chaotic system that corresponds to this description will bifurcate at the same rate. It was discovered in 1975...
-4
A search result for Mean Value Theorem gives us 2715 results, and results on the page are like ones I think we can include in the tag. The theorem is an important result in calculus, and questions relating to its applications, proofs. I think it would be useful if could have the tag, as it can gr...
The question is basically in the title:
Should we have tags for some individual theorems from calculus? (Or perhaps groups of theorems?) If so, which ones deserve their own tag?
It is not unprecedented to have a tag for group of theorems - fixed-point-theorems or probability-limit-theorem ...
Hi It's a refinement of mine :
Let $a\geq b>0$ such that $a+b=1$ and $b\in[0.3,0.5]$ then we have :
$$a^{\frac{1}{2}+b}+b^{\frac{1}{2}+a}\geq a^{4b^2}+b^{4a^2}$$
My try :
I use a parabola to get :
$$a^{\frac{1}{2}+b}+b^{\frac{1}{2}+a}\geq -\frac{2}{5}(b-\frac{1}{2})^2+1\geq a^...1
In the paper "On some inequalities for unitarily invariant norms and singular values" for Limin Zou and Chuanjiang He, it was stated that for $A$ and $B$ positive semidefinite the inequality
$$\|AB+ BA\| \le \|A^2+B^2\|$$ can be directly derived from a previous inequality $$\|A^\frac{1}{2}XB^\fra...
While studying some texts on porous media, I came across the following statement: the flow is one-dimensional and incompressible, so has constant velocity.
Is it true always or did the author others suppositions that are not explicit?
Many thanks in advance for some clarification.
