You might have millions of variables and millions of equations, but each equation might only involve a small number of the overall variables. These types of linear systems are called “sparse,” ...

Simple phenomena, such as how sap flows down a tree trunk, are straightforward and can be captured in a few lines of code using what mathematicians call linear differential equations. But in nonlinear ...

Temperate ice is linear-viscous (n = 1.0) "over common ranges of liquid water content and stress expected near glacier beds and in ice stream margins," the authors wrote.

Comparing Equation 2 with Equation 1 provides insight into the relationships of the parameters in Manning’s equation. V avg = 10.3972 x (gS/α) 1/2 x R 3/8 = (1.486/n) x R 2/3 x S 1/2 ...

Contour integration methods applied to FT, HT and LT. Discrete-time Fourier series and Fourier transforms including complex convolution: applications to linear systems. Discrete Fourier transforms and ...

This result is inspirational in many ways and suggests that quantum computers may be good at solving more than linear equations.” Quantum Algorithm for Linear Systems of Equations by Aram W. Harrow, ...

Basic linear algebra methods including basic matrix/vector operations, solution of linear systems of equations, eigenvalues, and singular values. Focus will be on applications of the methods on a ...