Author Archive

Gaussian Quadrature: An alternative to Newton-Cotes

One flaw that we had seen in Newton-Cotes methods is as you proceeded to eliminate more terms in order to reduce error it is not uncommon to actually increase error. This is called Runge’s phenomenon and is when the error grows exponentially with degree n. This occurs since with certain high degree sets the higher […]

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Fixing Least Squares Greatest Flaw, Outliers

Least squares regression is a powerful tool however as we learned it does have its flaws. Mainly this method is generally used under the assumption of a normal distribution. As a result skewed outliers can greatly affect the regression and reduce its accuracy. Even just one large outlier could invalid a regression of hundreds of […]

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Moore’s Law, the perfect extrapolation or coming to an end?

Gordon Moore, over 40 years ago, noticed a fairly simple trend in electronics and included it in an article he was asked to write for Electronics on the future of electronics. Little would he know that this would not only prove to hold almost perfectly true till today, but also have such a large impact […]

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