A mathematician at Carnegie Mellon University has developed an easier way to solve quadratic equations. The mathematician hopes this method will help students avoid memorizing obtuse formulas. His ...

In this paper we bound character sums of the shape ∑ n≤N χ 1 f n χ 2 f n+l , ; where χ1 and χ2 are non-principal multiplicative characters modulo a prime p, f(x) is a real-valued, twice-differentiable ...

If the nth term of a sequence is known, it is possible to work out any number in that sequence. Write the first five terms of the sequence \(3n + 4\). \(n\) represents the position in the sequence.

Number sequences are sets of numbers that follow a pattern or a rule. Each number in a sequence is called a term. There are some special sequences that you should recognise. The most important of ...