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$2p_{n+1}(t)= t^2+2p_n(t)-p_n(t)^2$ uniformly convergent to $|t|$

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#real-analysis #polynomials
150
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Quadratic Equations(determine the nature of roots)

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#polynomials #roots #quadratics #cauchy-schwarz-inequality #discriminant
50
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Solving a pair of quadratic equations for two unknowns efficiently

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#polynomials #systems-of-equations #roots
41
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Does axiom P hold for the set of Rational Polynomials?

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#abstract-algebra #polynomials #axioms
847
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Bihomogeneous Nullstellensatz

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#algebraic-geometry #polynomials #graded-rings
1k
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Polynomial ring over finite field - inverting a polynomial non-prime

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#polynomials #finite-fields #inverse #sagemath #polynomial-rings
35
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Basis with polynomials vectors

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#linear-algebra #polynomials #vectors #change-of-basis
458
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Quadratic polynomial is nonnegative if and only if a matrix is positive semidefinite.

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#polynomials #quadratic-forms #upper-lower-bounds #positive-semidefinite
52
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Prove that all roots of $Q$ are equal

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#real-analysis #polynomials #complex-numbers #roots
48
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Query Regarding Roots of Discriminant

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#proof-verification #polynomials #proof-explanation #quadratics #discriminant
383
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On real roots of a polynomial equation

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#real-analysis #complex-analysis #ordinary-differential-equations #derivatives #polynomials
424
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Polynomial root of algebraic number

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#polynomials #definition #roots #algebraic-numbers
148
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Determinate all the positive integers $x$ such that $x^4+6x^3+11x^2+3x+11$ is a perfect square.

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#polynomials #square-numbers
476
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Roots of polynomial with even powers

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#polynomials
38
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Finding roots of a function expressed as a combination some series

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#calculus #polynomials

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