Martin McBrideinTechnological SingularityIntegration by parts — LIATE ruleThe technique of integration by parts can often be used for solving complex integrals, particularly if we need to integrate a function…·9 min read·May 20, 2024--1--1

Martin McBrideinTechnological SingularityDiagonalising MatricesA diagonal matrix is a square matrix where every element except the leading diagonal is zero.·11 min read·May 14, 2024--2--2

Martin McBrideinTechnological SingularityNumerical Integration — Five TechniquesIn mathematics, integration is the opposite process to differentiation. Where differentiation can be used to find the rate of change of a…·11 min read·May 7, 2024--2--2

Martin McBrideinTechnological SingularityBinomial DistributionSuppose you rolled a fair dice, ten times. What is the probability that you would throw a six exactly three times?·14 min read·Apr 29, 2024----

Martin McBrideinTechnological SingularityDe Moivre’s TheoremDe Moivre’s theorem can be simply stated as:·9 min read·Apr 22, 2024----

Martin McBrideinTechnological SingularityIntroduction to EigenvectorsThe product of a square matrix A and a column vector v is a new column vector. The new vector will normally have a different direction from…·9 min read·Apr 19, 2024--3--3

Martin McBrideinTechnological SingularityIntegration by PartsFinding integrals can be challenging because, unlike differentiation, we can’t usually integrate a function from first principles. Instead…·8 min read·Apr 17, 2024--2--2

Martin McBrideinTechnological SingularityNormal DistributionThe normal distribution is a standard probability density function (PDF) that is often used to model random distributions. It is also…·10 min read·Apr 9, 2024----

Martin McBrideDifferentiation — finding the derivative of an inverse functionOften if we are trying to differentiate a difficult function, we can make progress by finding the derivative of a related function, and…·7 min read·Apr 3, 2024--2--2

Martin McBrideRussell’s paradoxRussell’s paradox, discovered by Bertrand Russell in 1901, was a paradox with set theory as it existed at the time. It struck at the heart…·9 min read·Mar 28, 2024--9--9