In January I wrote a piece titled “ 5 Physics Equations Everyone Should Know .” Lots of you weighed in with your own ...

Physicist Albert Einstein famously posited that if he only had an hour to crack a daunting problem, he'd devote 55 minutes to ...

QUT researchers have developed a pioneering mathematical framework to help "pick winners" and maximize limited funding and ...

Thriving in an exponential world requires more than a better strategy. It demands quantum thinking, the shift from linear ...

Abstract: Nonlinear equations systems (NESs) are widely used in real-world problems and they are difficult to solve due to their nonlinearity and multiple roots. Evolutionary algorithms (EAs) are one ...

Mathematics often feels abstract and disconnected for students, despite its role as the language of logic and patterns. India ...

Causal inference is known to be very challenging when only observational data are available. Randomized experiments are often costly and impractical and in instrumental variable regression the number ...

This is a preview. Log in through your library . Abstract An original method of integration is described for quasi-linear hyperbolic equations in three independent variables. The solution is ...

Simultaneous linear equations are used to model situations where two relationships must be satisfied at the same time. These problems often involve two interdependent variables, such as comparing ...

Linear functions are used to model a broad range of real-world problems. The ability to solve linear equations and inequalities is an essential skill for analysing these models. This section covers ...

Most linear algebra courses start by considering how to solve a system of linear equations. \[ \begin{align} a_{0,0}x_0 + a_{0,1}x_0 + \cdots a_{0,n-1}x_0 & = b_0 ...