Extending Scalar Functions To Matrix Functions
There are several techniques for lifting a real function to a square matrix function such that interesting properties are maintained. All of the following techniques yield the same matrix function, but the domains on which the function are defined may differ.
Read more about this topic: Matrix Function
Famous quotes containing the words extending, functions and/or matrix:
“When the doctrine of allegiance to party can utterly up-end a man’s moral constitution and make a temporary fool of him besides, what excuse are you going to offer for preaching it, teaching it, extending it, perpetuating it? Shall you say, the best good of the country demands allegiance to party? Shall you also say it demands that a man kick his truth and his conscience into the gutter, and become a mouthing lunatic, besides?”
—Mark Twain [Samuel Langhorne Clemens] (1835–1910)
“Those things which now most engage the attention of men, as politics and the daily routine, are, it is true, vital functions of human society, but should be unconsciously performed, like the corresponding functions of the physical body.”
—Henry David Thoreau (1817–1862)
““The matrix is God?”
“In a manner of speaking, although it would be more accurate ... to say that the matrix has a God, since this being’s omniscience and omnipotence are assumed to be limited to the matrix.”
“If it has limits, it isn’t omnipotent.”
“Exactly.... Cyberspace exists, insofar as it can be said to exist, by virtue of human agency.””
—William Gibson (b. 1948)