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Results tagged with inequalities
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user 5371
for questions involving inequalities, upper and lower bounds.
69
votes
Accepted
Determinant of sum of positive definite matrices
latter inequality is equivalent to the fact that the function $A\mapsto(\det A )^{1/n}$ is concave on the set of $n\times n$ non-negative Hermitian matrices (see e.g., A Survey of Matrix Theory and Matrix Inequalities …
CommunityBot
- 1
3
votes
Examples of inequality implied by equality.
.$$
The proof can be found in Inequalities by Beckenbach and Bellman.
The isoperimetric inequality. …
- 22.3k
70
votes
Accepted
Why do we care about $L^p$ spaces besides $p = 1$, $p = 2$, and $p = \infty$?
Huge chunks of the theory of nonlinear PDEs rely critically on analysis in $L^p$-spaces.
Let's take the 3D Navier-Stokes equations for example. Leray proved in 1933 existence of a weak solution to …
- 22.3k