Eigenvalue The change in length that occurs when the corresponding eigenvector is multiplied by its matrix . Eigenvector A unit length vector that retains its direction when multiplied to the matrix that it corresponds to. Embedding A method of taking a scalar time series and using delayed snapshots of the values at fixed time intervals in the past so that the dynamics of the underlying system can be observed as a function of the previously observed states. Emergent Refers to a property of a collection of simple subunits that comes about through the interactions of the subunits and is not a property of any single subunit. Usually, the emergent behavior is unanticipated and cannot be directly deduced from the lower-level behaviors.
Complex systems are usually emergent.
Entropy A measure of a system 's degree of randomness or disorder. If that which is under study is a system , then the rest of the world is the environment. Equilibrium A state of a system that, if not subjected to perturbation , will remain unchanged. Euclidean Pertaining to standard geometry, i.e., points, lines, planes, volumes, squares, cubes, triangles, etc. The simplest method of obtaining a numerical solution of a differential equation .