Practice how to recognise and determine the equation of a quadratic function from its graph ahead of your National 5 Maths exam with this interactive maths quiz. The equation of a a quadratic ...

Abstract: We provide an example proving that there exists no quadratic Lyapunov function for a certain class of linear agreement/consensus algorithms, a fact that had been numerically verified in . We ...

Python allows free creation of plots, unlike expensive, stagnant graphing calculators. Import NumPy and Matplotlib for basic ...

You scrambled up a Rubik's cube, and now you want to put it back in order. What sequence of moves should you make?

Natural selection uses duplicated genes as raw material for functional innovation, co-opting their existing features to new functions. Understanding genetic innovation requires two questions to be ...

That year, French mathematician Évariste Galois finally illustrated why this was such a problem—the underlying mathematical symmetry in the established methods for lower-order polynomials simply ...

Using the same Bitcoin address over and over massively cranks up the quantum risk. How It Goes Wrong: When you spend Bitcoin, your public key hits the blockchain and stays there forever. If you then ...

Indeed, if the uncertainty is great enough, the optimal level of reserves can exceed the cutoff for abundant reserves under no uncertainty. That is, uncertainty can imply that it is optimal to supply ...

Difference Engine A numerical table is a tool designed to save the time and labor of those engaged in computing work. The ...

"Universal tariffs are a highly inefficient and distortionary way to raise revenue," said Warwick McKibbin, a nonresident ...

Most people need around eight hours of sleep each night to function, but a rare genetic condition allows some to thrive on as little as three hours. In a study published today in the Proceedings ...