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Kirby and Siebenmann obstruction for $D neq 5$?

0 Mathematics Asked on 12/18/2021

algebraic topology differential geometry differential topology geometric topology smooth manifolds

Find all the ideals and prime ideals of $F[x]times F[x]$ where $F$ is algebraically closed.

1 Mathematics Asked on 12/18/2021

abstract algebra field theory

Under what conditions is the product of a PSD matrix and another matrix itself PSD?

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linear algebra matrices positive semidefinite symmetric matrices

Show that $Eleft[|V|^2| (V+U,U) in C times C right] < Eleft[|V|^2 right]=3$ where $V$ and $U$ are standard normal

1 Mathematics Asked on 12/18/2021

conditional expectation conditional probability expected value probability theory

Show that the residue is $c_{-1}=-frac{q''(z_0)}{(q'(z_0))^3}$.

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complex analysis complex numbers residue calculus

Eigenvalues of a compact operator with modulus greater than $epsilon$ is finite

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c star algebras compact operators functional analysis operator theory

How are these two sets equivalent

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elementary number theory polynomials

Concept about marginal probability $p(y)$to conditional probability $p(y|x)$ transformation?

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conditional probability marginal distribution marginal probability probability probability distributions

Extreme points of prefix sum and prefix sum of subsets.

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combinatorial geometry convex geometry convex hulls discrete geometry

Prove $sum_{n=1}^infty frac{1}{a_n}$ is divergent if $sum_{n=1}^infty a_n$ and $sum_{n=1}^infty b_n$ are both convergent

2 Mathematics Asked on 12/18/2021

convergence divergence sequences and series

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