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Why are quadratic forms that satisfy these conditions isotropic?

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#linear-algebra #abstract-algebra #quadratic-forms
88
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Solving a Quadratic Inequality

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#algebra-precalculus #inequality #quadratics #fractions #quadratic-forms
244
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Maximization of quadratic function

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#linear-algebra #optimization #quadratic-forms #quadratic-programming #non-convex-optimization
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Differentiation of a quadratic form

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#matrices #multivariable-calculus #derivatives #quadratic-forms #scalar-fields
66
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Can $z + \frac{1}{z}$ or $z + \frac{2}{z}$ be considered as quadratic forms?

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#quadratic-forms
236
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Diagonalization of a quadratic form

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#linear-algebra #quadratic-forms
257
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Prove the following norm inequality of a vector

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#linear-algebra #inner-products #quadratic-forms
80
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Quadratic Forms in $k^n$ for a general field $k$

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#linear-algebra #abstract-algebra #vector-spaces #quadratic-forms #multilinear-algebra
132
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Bounding a cubic form with a quadratic form

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#limits #polynomials #quadratic-forms #cubics #upper-lower-bounds
50
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What happens to Clifford algebra structure and periodicity when the field is weird?

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#quadratic-forms #clifford-algebras
100
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Selmer groups in Lemmermeyer article and ternary quadratic forms

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#number-theory #algebraic-number-theory #quadratic-forms #integer-lattices
22
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Prove of equality of function and composition

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#vector-spaces #quadratic-forms #vector-space-isomorphism
75
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Root of the quadratic equation while solving limit

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#limits #continuity #quadratics #quadratic-forms
1.6k
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Show $\nabla x^TAx = (A + A^T)x$ using property of $\nabla$

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#linear-algebra #multivariable-calculus #derivatives #vector-analysis #quadratic-forms
403
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Representation of integers as quadratic forms with integer coefficients

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#number-theory #algebraic-geometry #quadratic-forms #theta-functions #representations-by-quadratic-forms

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