Levi-Civita Permutation Proof

Demonstrated the even/odd "flip" path sequence was non-path dependent for any set of n numbers.

Take a gander at the proof.

Vibration of Beam using Hybrid Parameter Dynamics

An extension of Kane's process for creation of the dynamical equations of motion.

Hybrid Parameter Example

Comparison of Algorithms to Numerically Solve PDEs

Numerical PDE Solution