Wavelet decompositions are based on basis functions satisfying refinement equations. The stability, linear independence, and orthogonality of the integer translates of basis functions play an ...

My understanding of linear independance is that if you have a unique solution after rref, it's linear independant. If you have multiple solutions or no solution, it's not linear ...

Description: First-order equations, higher-order linear equations, initial and boundary value problems, power series solutions, systems of first-order equations, Laplace transforms, applications.

The class of second-order linear dynamical systems is considered. A method and algorithm are presented to transform any system with n degrees of freedom into n independent second-order equations. The ...

Engineering Analysis is part of Northwestern's innovative Engineering First Program for first year undergraduates. The program gives Northwestern engineering students the fundamentals of a successful ...

Engineering Analysis is part of Northwestern's innovative Engineering First Program for first year undergraduates. The program gives Northwestern engineering students the fundamentals of a successful ...