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that $v_ $ is non-degenerate. and b is ... linear-algebra trace bilinear-form asked jan at : biswarup saha silver badges bronze badges votes answers views alternating bilinear form, nilpotent map problem: where is the error?
the problem is the following: let $v$ be a finite dimensional $\mathbb{c}$-vector space, and $b : v imes v o \mathbb{c}$ a non- degenerate symmetric bilinear form. let $f : v o v$ be a ... linear-algebra bilinear-form asked dec ' at : msm silver badges bronze badges votes answers views orbit closures...
https://math.stackexchange.com/questions/tagged/bilinear-form
differential-topology smooth-functions asked yesterday quadr silver badges bronze badges votes answers views inverse function theorem for manifolds (milnor) i am reading the book topology from the differentiable viewpoint of milnor. in this book, milnor defines a smooth manifold to be a subset of some
$\bbb r^k$. for a smooth map $f:m\subset \bbb r^k o ... differential-topology smooth-manifolds smooth-functions asked feb at : quadr silver badges bronze badges votes answers views derivative of a smooth map between euclidean spaces let $f:u\subset \bbb r^k o \bbb r^l$ be a $c^\infty$ map, where $u$...
https://math.stackexchange.com/questions/tagged/smooth-functions
bronze badges votes answers views interpretation of equality of random variables?
. what ... probability probability-theory stochastic-processes random-walk asked hours ago idonknow . k gold badges silver badges bronze badges votes answers views is there an intuitive interpretation of $h(x,y) \leq h(x) + h(y)$?...
https://math.stackexchange.com/questions/tagged/probability-theory
silver badges bronze badges votes answers views norm and trace of the zeroes of an irreducible polynomial "consider the irreducible polynomial $g(x)=x^ + x^ + x+ \in \mathbb{q}[x]$ let $\alpha$ be any zero of $g$ and $ l =\mathbb{q}(\alpha) $. compute $n(\alpha- )$ and $ \operatorname{tr}(\alpha- )$
silver badges bronze badges votes answers views how to compute the minimal polynomial of the th root of unity over $\mathbb{q}_ $?...
https://math.stackexchange.com/questions/tagged/extension-field
(see for example this stackexchange post for a discussion.) is there a similar ... ordinary-differential-equations polynomials continuity asked hours ago ruben verresen silver badges bronze badges vote answer views fundamental theorem of algebra in an algebraically closed field let $k$ be a field, and
in particular, i am interested in solving $x^ - = $ in a field $k$ with $\... abstract-algebra polynomials field-theory asked hours ago luke collins gold badge silver badges bronze badges votes answer views show that the vector family $(\sin \ell x)$ with $\ell \in \mathbb r$ is linearly independent...
https://math.stackexchange.com/questions/tagged/polynomials
bronze badges votes answer views are projections of spherically symmetric distributions always spherically symmetric?
(x:y) ... algebraic-geometry projective-geometry birational-geometry asked jan at : rmdmc gold badge silver badges bronze badges votes answers views rational normal curve of degree d. let a consist of the columns of the $ imes (d+ )$ matrix $$a=egin{pmatrix} d & d- & \cdots & & \ & & \cdots & d- &d \...
https://math.stackexchange.com/questions/tagged/projective-geometry
.)$ and $k(.,y)$ to be measurable for lebesgue-almost-all $x,y \in \mathbb{r}^n$. an ... functional-analysis measure-theory reference-request stochastic-processes mathematical-physics asked hours ago thibaut demaerel silver badges bronze badges votes answers views an introduction to discrete random sets
i'm looking for an introduction (e.g. a book , a chapter thereof or a blog post) to discrete random sets. specifically, this should probably include a formal derivation of the pmf of the (... probability reference-request asked hours ago stefan perko . k gold badge silver badges bronze badges votes...
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abstract-algebra ring-theory irreducible-polynomials asked hours ago kingdingeling silver badges bronze badges vote answer views is $x^a-y^b$ irreducible (over an arbitrary field $k$) if and only if $a$ and $b$ are coprime?
polynomials commutative-algebra irreducible-polynomials asked days ago user gold badges silver badges bronze badges votes answers views number of irreducible cubics over a field of $n$ elements....
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