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 ...

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 ...

The ancient Babylonians were a remarkable bunch. Among many extraordinary achievements, they found a now-famous mathematical solution to an unpleasant challenge: paying tax. The particular problem for ...

Let p be an odd prime. Define $e_{n}=\cases (-1)^{n+\overline{n}}, & \text{if}\ n\ \text{is a quadratic residue mod}\ p\,\\ (-1)^{n+\overline{n}+1}, & \text{if}\ n ...

Google Doodle: On 12 November 2025, Google has launched a special animated Doodle titled “Learning the Quadratic Equation (India)” a vibrant tribute to one of the most searched and wide-ranging ...

Google featured an animated quadratic equation doodle on its homepage in India on Nov 12 The quadratic formula models parabolic paths like basketball shots in physics and engineering Clicking the ...

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.

Google's latest doodle in India celebrates the quadratic equation, ax² + bx + c = 0, showcasing its real-world applications in physics, engineering, sports, and business. The interactive feature, ...

Google on Wednesday (12 November) featured a special Doodle celebrating the quadratic equation, one of mathematics' most fundamental formulas that has shaped everything from engineering to economics.

Google's latest animated Doodle celebrates the quadratic equation, transforming its homepage into an interactive classroom. This visual tribute highlights the formula's components and solutions, ...

Google Doodle features the Quadratic Equation, linking to AI-powered solutions. Equation's real-world applications are highlighted, from physics to engineering. Babylonians (2000 BC) first solved it; ...