View allAll Photos Tagged polynomials

knitting projects - an ipod cover which I made too large so now it's a camera case, a quadratic equation camera bag (video camera), and the robot toy (in progress) for Amelie. plus my pattern book with notes

 

www.aliak.com/content/a-simple-knitted-ada-deitz-polynomi... has a blog entry

polynomial factoring In mathematics, any expressions which consist of constants, variables and exponent values that are joined together by mathematical operators like addition, subtraction, multiplication, are said to be Polynomials. Exponent’s values can be 0, 1, 2, 3 and 4 ….etc. Infinite values are not possible in case of polynomials expression. For example: 7xy2 – 5x + 5y3 – 15, this given equation is polynomial equation.

  

"Random matrices and zeros of polynomials"

"Polynomial hulls and analytic structure"

Working Babbage machine. Fully mechanical machine used for computing results for high level polynomials up to seventh order.

polynomials orthogonal over the unit disk

This is an enhanced still frame from my latest set of mathematical animations, which you can watch on Youtube. All of these images were created using the same mathematical function, involving polynomial roots that orbit around a pole. I am currently working on a blog post where I go into detail on how I created these images, and what makes them so interesting. So stay tuned for that!

 

In this case I use our function to transform an input image, one that I took myself at a church in Brunswick. Here the zeros of our function map to the nadir, effectively creating a "little planet" around each of our roots. I will talk more about the visual distortions this causes in my blog post.

 

You can watch the video here: youtu.be/4tmFpQ7Sx14

Complex iterated polynomial, etc. gives 3-D effect and negative space.

Geometric Interpretation of Quartic Equation

"Random matrices and zeros of polynomials"

"Polynomial hulls and analytic structure"

This is part of the model that leads to multiple analytical solutions.

"Asymptotic zero distribution of random orthogonal polynomials"

"Extensions of the notions of polynomial and rational hull"

Dans le domaine mathématique de l'analyse numérique, le phénomène de Runge se manifeste dans le contexte de l'interpolation polynomiale, en particulier l'interpolation de Lagrange.

 

source: Wikipédia

"Method of series expansions for orthogonal polynomials"

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