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Do we know $A$ if we know $z^T A z$ for all $z$?

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#linear-algebra #matrices #quadratic-forms
92
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Is there a closed-form solution to this equation?

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#linear-algebra #matrices #systems-of-equations #matrix-equations #quadratic-forms
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Maximizing quadratic form subject to quadratic constraint

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#optimization #eigenvalues-eigenvectors #maxima-minima #quadratic-forms #qcqp
60
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$x^2+14y^2$ mod $p$

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#algebraic-number-theory #quadratic-forms #class-field-theory
46
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Question on the definition of the form class group

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#quadratic-forms
35
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Concluding on a subspace on a diagonalaized quadratic form

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#linear-algebra #quadratic-forms
172
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Signature of a quadratic form?

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#linear-algebra #quadratic-forms
278
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Fundamental forms of a sphere are proportional

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#differential-geometry #parametric #quadratic-forms #spherical-geometry
451
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Is the Hessian of quadratic functions always symmetric?

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#matrices #multivariable-calculus #quadratic-forms #hessian-matrix #scalar-fields
600
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When does a matrix have an "invariant quadratic form"?

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#matrices #quadratic-forms #integer-lattices
469
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Gradient and Hessian of the product of two quadratic forms

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#multivariable-calculus #derivatives #quadratic-forms #hessian-matrix #scalar-fields
52
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Equivalence of Semidefinite Binary Quadratic Form

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#elementary-number-theory #quadratic-forms
45
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In general, are functions of this form convex?

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#matrices #convex-analysis #quadratic-forms #positive-semidefinite
91
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Inequivalent opposite quadratic forms

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#number-theory #quadratic-forms
25
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How to diagonalize a non-linear quadratic form?

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#functional-analysis #quadratic-forms #partial-differential-equations

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