Deconstructed Example of A Matrix Ordinary Differential Equation
A first-order homogeneous matrix ordinary differential equation in two functions x(t) and y(t), when taken out of matrix form, has the following form:
where and may be any arbitrary scalars.
Higher order matrix ODE's may possess a much more complicated form.
Read more about this topic: Matrix Differential Equation
Famous quotes containing the words matrix, ordinary, differential and/or equation:
“In all cultures, the family imprints its members with selfhood. Human experience of identity has two elements; a sense of belonging and a sense of being separate. The laboratory in which these ingredients are mixed and dispensed is the family, the matrix of identity.”
—Salvador Minuchin (20th century)
“A man may appear learned, without talking Sentences; as in his ordinary Gesture he discovers he can Dance, tho’ he does not cut Capers.”
—Richard Steele (1672–1729)
“But how is one to make a scientist understand that there is something unalterably deranged about differential calculus, quantum theory, or the obscene and so inanely liturgical ordeals of the precession of the equinoxes.”
—Antonin Artaud (1896–1948)
“A nation fights well in proportion to the amount of men and materials it has. And the other equation is that the individual soldier in that army is a more effective soldier the poorer his standard of living has been in the past.”
—Norman Mailer (b. 1923)