"Gauss–Lucas Theorem and its Consequences in Polynomial Dynamics"

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polynomials orthogonal over the unit disk

"Optimal polynomial approximants of reciprocals of analytic functions"

"Optimal polynomial approximants of reciprocals of analytic functions"

polynomials orthogonal over the unit disk

"Roots of polynomials and parameter spaces"

"Roots of polynomials and parameter spaces"

polynomials orthogonal over the unit disk

polynomials orthogonal over the unit disk

polynomials orthogonal over the unit disk

Let X be the set of all triples (a,b,c) in R^3 such that the polynomial

x^6 + ax^5 + bx^4 + cx^3 + bx^2 + ax + 1

has all roots on the unit circle in C (and all real roots with even multiplicity). In this film, we see the set X as we rotate twice around it.

polynomials orthogonal over the unit disk

polynomials orthogonal over the unit disk

polynomials orthogonal over the unit disk

polynomials orthogonal over the unit disk

polynomials orthogonal over the unit disk

"Roots of polynomials and parameter spaces"

polynomials orthogonal over the unit disk

Symmetricized complex polynomial transform

"Random matrices and zeros of polynomials"

polynomials orthogonal over the unit disk

polynomials orthogonal over the unit disk

Built from a fractal representing the convergence of Halley's rational method for finding the roots of a fifth degree polynomial. The fractal was one of the few gems left over from my independent study project in python programming @ community college.

Quadratic equation calculator In mathematics, a Quadratic Equation is a polynomial equation of degree two. The word Quadratic comes from the word "quad" which means Square. Mathematically, quadratic equation is written in the form Ax2 + Bx + C = 0 Here, 'x' represents a variable and A, B, and C represents constants called as coefficients. (A ≠ 0).

Factoring quadratic equations A Quadratic Equation can be defined as polynomial equation with degree two or we can say it is second degree polynomial equation. General form of quadratic equation is px2 + qx + r = 0, here 'x' is a variable whise value is unknown and p, q, and r are constants where 'p' can not be equals to 0. That means p ≠ 0. Constants p, q, and r are called as quadratic coefficient, linear coefficient and constant term respectively. Here we will study quadratic equations by factoring.

"Limits of Optimal Polynomial Approximants"

"Limits of Optimal Polynomial Approximants"

Linear Equations is that expression in math which when plotted in coordinate system produces a straight line. Equations are not always linear; they can be of several types or geometries. Linear Equations can be defined as equations consisting of a polynomial whose variables are of first degree and can be made equals to zero.

I've been messing about with fractal software

"Electrostatic Models for Orthogonal and Multiple Orthogonal Polynomials"

polynomials orthogonal over the unit disk

"Roots of polynomials and parameter spaces"

polynomials orthogonal over the unit disk

polynomials orthogonal over the unit disk

Rational Zero Theorem Rational number is defined as a number which is in the form of p/ q. Where p and q both belong to real number Set. As we know that real number is a set of Numbers which includes all Types of Numbers that are Integer, whole number, negative numbers, positive numbers and Natural Numbers etc. Thus, it is a super set of all Sets of numbers. Suppose Q( x ) = anxn + an-1xn-1 + . . . . . . . + a0 is a polynomial expression having integer coefficients where 'x' is equals to p/ q, it is considered as rational zero of q(x).

"Roots of polynomials and parameter spaces"

"Roots of polynomials and parameter spaces"

"Roots of polynomials and parameter spaces"

"Optimal polynomial approximants of reciprocals of analytic functions"

"Optimal polynomial approximants of reciprocals of analytic functions"

Frame created in Chaoscope, polynomial function