Badges woven in the piece

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bronze badges votes answer views extension of a function defined on a subspace of $[ ]$ let $p$ be a prime number, and let $s = [ ]\cap\{\frac{q}{p^n}|q \in \mathbb{z},n \in\mathbb{n}\}$. assume that $s$ has the subspace topology induced from the inclusion $s \subseteq [ , ]$. will ... general-topology

$f$ is continuous on $\mathbb{r}^ $. well, my problem is ... real-analysis continuity asked yesterday besmath bronze badges votes answers views computing the norm of a continuous functional over $c([ ])$ consider a functional $c([ ])\ni f \mapsto f( ) \in \mathbb{r}$. let the norm on $c([ ])$ be: $$...

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stat silver badges bronze badges vote answers views finding the null space of a peculiar differential operator. i need to find the null space of the differential operator subject to neumann boundary conditions $k : c_n^ [ , \ell] \to c[ , \ell]$ defined by $$ ku = -\frac{d^ u}{dx^ } + \alpha u, \ \alpha

mathematical-physics asked hours ago thibaut demaerel silver badges bronze badges votes answer views prove the compactness of an operator in a hilbert space i'm trying to prove the following statement: let $\{m_k, k \in \mathbb{n} \}$ be a countable collection of finite dimensional subspaces of a hilbert...

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answers views calculate if polygon and circle intersects (expressed in lat,long) i would like to be able to calculate if a polygon and a circle drawn in google maps intersect (represented in latitude,longitude points and the radius of the circle in meters). let's use this as an ... intersection-theory

the context i encountered this is ... algebraic-geometry intersection-theory asked jan at : red_trumpet silver badges bronze badges votes answer views intersection of a set of hyperplanes and a curve in $\mathbb{p}^ $ i have struggles with solving the following question: let $x$ be a curve in $\mathbb...

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position given word: lilac it is given that the two $l$'s are indistinguishable and need to calculate the number of permutations of the word such that no character in the permuted word appears in its original ... combinatorics permutations asked hours ago debasish das bronze badges vote answers views

. k gold badges silver badges bronze badges vote answers views recurrences - proof of induction so i have a question below that asks for a closed formula and for me to prove the formula using induction. i believe i got the formula correct, but i'm having a hard time proving it because of the ... permutations...

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{q}$ (without using that $p\equiv \... abstract-algebra number-theory asked hour ago heinz doofenschmirtz silver badges bronze badges votes answers views can we say these polynomials the same in finite field?

answers views splitting field for $x^ - \in\mathbb{q}[x]$. i am studying the splitting field for $x^ - \in\mathbb{q}[x]$. let $f$ denote the splitting field for $x^ - \in\mathbb{q}[x]$. i found that the galois group of the extension $\mathbb{q}\subset f$ is $... abstract-algebra galois-theory asked...

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carlos vega oliver bronze badges votes answer views tell if a set $k \subseteq\mathbb r $, closed in $ au_d$ and bounded by the distance d is necessarily compact in $ au_d$ considering the following metric over $\mathbb r$: $d(x,y)=|x-y|/( +|x-y|)$ i have to ) find if ($\mathbb r$,d) is a complete metric

jan at : willg silver badges bronze badges votes answers views how to show a metric space is not complete in order to show that a metric space $(x, d)$ is not complete one may apply the definition and look for a cauchy sequence $\{x_n\}\subset x$ which does not converge with respect to the metric $d...

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