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:
“Clay answered the petition by declaring that while he looked on the institution of slavery as an evil, it was ‘nothing in comparison with the far greater evil which would inevitably flow from a sudden and indiscriminate emancipation.’”
—State of Indiana, U.S. public relief program (1935-1943)
“By the flow of the inland river,
Whence the fleets of iron have fled,
Where the blades of the grave-grass quiver,
Asleep are the ranks of the dead:—”
—Francis Miles Finch (1827–1907)
“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)