List questions from quadratic-forms

Published on 01 Mar 2017 - 22:31

257

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How to deduce the number of solutions?

Published on 27 Mar 2026 - 14:51

158

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Quadratic form of an exponential random vector

Published on 04 Mar 2017 - 16:28

31

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Quadratic map has non-trivial zero?

Published on 06 Mar 2017 - 17:57

96

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When can a quadratic form in $n$ variables be written as the sum of $m$ squares?

Published on 11 Mar 2017 - 1:21

1.2k

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Literally three different definitions of "The kernel of a quadratic form" in the same proof

Published on 26 Mar 2026 - 21:09

766

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Find a new quadratic form through change of variables

Published on 14 Mar 2017 - 13:09

78

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Does the equation $U^2+V^2=A^2+sB^2$ with $s$ squarefree have a complete integer solution?

Published on 15 Mar 2017 - 16:27

45

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For which primes $p$ can one always find $q$ such that $X^2+(pq-1)Y^2 \equiv 0\!\pmod{p^2}$ has no solution?

Published on 28 Mar 2026 - 8:40

754

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Intersection of cones tangent to a common sphere

Published on 24 Mar 2017 - 7:49

170

Views

Prove that the quotient space $V/V^\perp$ is regular

Published on 26 Mar 2026 - 21:08

959

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Diagonalization of quadratic form: asymmetric matrix?

Published on 26 Mar 2017 - 7:37

77

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Showing that all quadratic regular forms are isometric to the sum of one-dimensional and two-dimensional forms

Published on 26 Mar 2017 - 15:34

39

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Show that the forms $q(x,y)=x^2-y^2$ and $q'(x,y)=xy$ are isomorphic

Published on 26 Mar 2026 - 21:10

101

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Existence of an orthogonal transformation

Published on 28 Mar 2026 - 6:40

List Question

Expectation of a quadratic form of Bernoulli random variables

How to deduce the number of solutions?

Quadratic form of an exponential random vector

Quadratic map has non-trivial zero?

When can a quadratic form in $n$ variables be written as the sum of $m$ squares?

Literally three different definitions of "The kernel of a quadratic form" in the same proof

Find a new quadratic form through change of variables

Does the equation $U^2+V^2=A^2+sB^2$ with $s$ squarefree have a complete integer solution?

For which primes $p$ can one always find $q$ such that $X^2+(pq-1)Y^2 \equiv 0\!\pmod{p^2}$ has no solution?

Intersection of cones tangent to a common sphere

Prove that the quotient space $V/V^\perp$ is regular

Diagonalization of quadratic form: asymmetric matrix?

Showing that all quadratic regular forms are isometric to the sum of one-dimensional and two-dimensional forms

Show that the forms $q(x,y)=x^2-y^2$ and $q'(x,y)=xy$ are isomorphic

Existence of an orthogonal transformation

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