Because linear equations are so much easier to solve than nonlinear ones, much research across a range of disciplines is devoted to finding linear approximations of nonlinear phenomena.

Journal of Mathematics and Mechanics, Vol. 8, No. 4 (1959), pp. 519-574 (56 pages) It is shown that the solutions of certain classes of nonlinear ordinary and partial differential equations may be ...

Capture relationships between data sets by graphing linear equations in Microsoft Excel 2007. Linear equations allow you to predict values within your data set and view the overall trend.

Shinnosuke Oharu, Tadayasu Takahashi, Characterization of Nonlinear Semigroups Associated with Semilinear Evolution Equations, Transactions of the American Mathematical Society, Vol. 311, No. 2 (Feb., ...

Revise solving linear equations for your maths GCSE foundation and higher exams with Bitesize interactive practice quizzes covering feedback and common errors.

“We had to control how big a number shows up as we do this guessing and coordination,” said Peng. Peng and Vempala prove that their algorithm can solve any sparse linear system in n2.332 steps. This ...