In a quadratic expression, the highest power of \(x\) is \(x^2\). Factorise \(x^2 + 7x + 10\). To factorise this expression, find two numbers that have a product of +10 and a sum of +7. There are four ...

Rewrite \(y = {x^2} - 6x + 11\) in the form \(y = {(x - b)^2} + c\). To get \(b\) (the number inside the bracket), halve the coefficient (number in front) of the second term in the original equation.

Everybody loves democracy—except, that is, when a majority tramples the rights of a minority. Constitutional safeguards provide some protection against the preferences of the many, but these ...

Given Lagrange’s result, number theorists asked whether there are other such expressions, called quadratic forms, that also represent all positive integers. In 1916, Indian mathematician Srinivasa ...

Series B (Statistical Methodology) of the Journal of the Royal Statistical Society started out simply as the Supplement to the Journal of the Royal Statistical Society in the Society's centenary year ...

This is a preview. Log in through your library . Abstract Let n r be the frequency of the state r in a segment of a regular ergodic Markov chain. It is shown how to obtain the asymptotic distribution ...