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If $p>3$ what are two solutions of $x^2 ≡ 4 \pmod p$?

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#number-theory #elementary-number-theory #congruences #quadratic-forms
560
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How to classify quadratic forms using their signature

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#algebraic-geometry #quadratic-forms
43
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Squareclasses in transcendental extensions of the p-adics

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#number-theory #quadratic-forms #square-numbers
1.8k
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Minimize a Quadratic Cost Function on the Unit Simplex

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#optimization #convex-optimization #nonlinear-optimization #quadratic-forms #quadratic-programming
1.6k
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Maximize the largest eigenvalue of a Hermitian matrix constrained by quadratic polynomials

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#optimization #eigenvalues-eigenvectors #quadratic-forms
85
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Matrix Quadratic Form

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#quadratic-forms
434
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Transforming quadratic forms, how is this theorem called?

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#number-theory #quadratic-forms
271
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If equation has integer solution it has solution for every prime p.

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#prime-numbers #diophantine-equations #quadratic-forms
529
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How do i expand/simplify this quadratic (or quartic?) equation

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#calculus #taylor-expansion #quadratics #quadratic-forms
3.6k
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Express a quadratic form as a sum of squares using Schur complements

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#linear-algebra #matrices #quadratic-forms #sum-of-squares-method #schur-complement
934
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How can the level curves of a quadratic form be a pair of lines?

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#linear-algebra #quadratic-forms #curves
182
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How to graph quadratic forms and label points closest to and furthest from the origin?

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#linear-algebra #quadratic-forms #curves
6.4k
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Meaning of the identity $\det(A+B)+\text{tr}(AB) = \det(A)+\det(B) + \text{tr}(A)\text{tr}(B)$ (in dimension $2$)

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#linear-algebra #reference-request #determinant #quadratic-forms #trace
500
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Solving quadratic equations of the form $x'(A-B)x = 0$

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#systems-of-equations #quadratics #quadratic-forms
2.3k
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Reduction of quadratic forms

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#linear-algebra #quadratic-forms

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