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 first principle of a free society is an untrammeled flow of words in an open forum.”
—Adlai Stevenson (1900–1965)
“The current of our thoughts made as sudden bends as the river, which was continually opening new prospects to the east or south, but we are aware that rivers flow most rapidly and shallowest at these points.”
—Henry David Thoreau (1817–1862)
“Parents ought, through their own behavior and the values by which they live, to provide direction for their children. But they need to rid themselves of the idea that there are surefire methods which, when well applied, will produce certain predictable results. Whatever we do with and for our children ought to flow from our understanding of and our feelings for the particular situation and the relation we wish to exist between us and our child.”
—Bruno Bettelheim (20th century)