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failure function (polynomials) (Definition)

Let $ \phi(x)$ be a polynomial function of $ x$, where $ x$ belongs to $ \mathbb{Z}$. Let our definition of a failure be a composite number. Then $ x=\psi(x_0) =x_0 + k\times\phi(x_0)$ is a failure function since $ \phi(\psi(x_0))$ will generate only failures. Here $ x_0$ is a specific value of $ x$ and $ k$ belongs to $ \mathbb{Z}$.



"failure function (polynomials)" is owned by akdevaraj. [ full author list (2) ]
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Cross-references: generate, function, composite number, polynomial function

This is version 22 of failure function (polynomials), born on 2008-02-28, modified 2008-06-23.
Object id is 10345, canonical name is FailureFunctions.
Accessed 763 times total.

Classification:
AMS MSC: 33-01 (Special functions :: Instructional exposition )
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