On Gaussian Leonardo Hybrid Polynomials

On the average number of sharp crossings of certain Gaussian random polynomials

On the Gaussian Integration of Chebyshev Polynomials

It is shown that as m tends to infinity, the error in the integration of the Chebyshev polynomial of the first kind, T{im+2)j±2^x), by an /n-point Gauss integration rule approaches (-!> • 2/(4/2 1), / = 0, 1, ■ • • , m 1, and (-!>' • tt/2, / = m, for all J. 1. Knowledge of the errors in the numerical integration of Chebyshev polynomials of the first kind, Tn(x), by given integration rules has p...

Gaussian structures and orthogonal polynomials

When asked to mention one statistical distribution, most people would probably come up with the normal distribution, also known as the Gaussian distribution after the legendary German mathematician Carl Friedrich Gauß (1777–1855). A large number of objects in life are usually considered normally distributed, for example the IQ of adult humans, the error made when measuring the mass of a protein...

Gaussian Polynomials and Content Ideals

We prove that every regular Gaussian polynomial over a locally Noetherian ring has invertible content ideal. We do this by first proving that Gaussian polynomials over an approximately Gorenstein local ring have principal content ideal. We also show over locally Noetherian rings that a regular polynomial f of degree n is Gaussian if c(fg) = c(f)c(g) for polynomials g of degree at most n. Introd...

On the trail of Leonardo.

A night course taken almost 25 years ago sparked an interest in Leonardo da Vinci that has become a passion for a London, Ont., neurosurgeon. Dr. Rolando Del Maestro now boasts one of the largest collections of da Vinci artifacts in North America.