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:
“The method of painting is the natural growth out of a need. I want to express my feelings rather than illustrate them. Technique is just a means of arriving at a statement.... I can control the flow of paint: there is no accident, just as there is no beginning and no end.”
—Jackson Pollock (1912–1956)
“No care, no stop; so senseless of expense
That he will neither know how to maintain it
Nor cease his flow of riot, takes no account
How things go from him, nor resumes no care
Of what is to continue.”
—William Shakespeare (1564–1616)
“Our sense of these things changes and they change,
Not as in metaphor, but in our sense
Of them. So sense exceeds all metaphor.
It exceeds the heavy changes of the light.
It is like a flow of meanings with no speech
And of as many meanings as of men.”
—Wallace Stevens (1879–1955)