Flow
The flow of a time dependent vector field X, is the unique differentiable map
such that for every ,
is the integral curve of X that verifies .
Read more about this topic: Time Dependent Vector Field
Famous quotes containing the word flow:
“Reminiscences, even extensive ones, do not always amount to an autobiography.... For autobiography has to do with time, with sequence and what makes up the continuous flow of life. Here, I am talking of a space, of moments and discontinuities. For even if months and years appear here, it is in the form they have in the moment of recollection. This strange form—it may be called fleeting or eternal—is in neither case the stuff that life is made of.”
—Walter Benjamin (1892–1940)
“For as the interposition of a rivulet, however small, will occasion the line of the phalanx to fluctuate, so any trifling disagreement will be the cause of seditions; but they will not so soon flow from anything else as from the disagreement between virtue and vice, and next to that between poverty and riches.”
—Aristotle (384–322 B.C.)
“And if blood of Martyrs is to flow on the steps
We must first build the steps;
And if the Temple is to be cast down
We must first build the Temple.”
—T.S. (Thomas Stearns)