Properties
Like the ordinary derivative, the functional derivative satisfies the following properties:
- It is linear:
- The product rule:
- The following chain rules: if is an ordinary differentiable function, then
- and
These properties follow easily from the definition.
Read more about this topic: Functional Derivative
Famous quotes containing the word properties:
“The reason why men enter into society, is the preservation of their property; and the end why they choose and authorize a legislative, is, that there may be laws made, and rules set, as guards and fences to the properties of all the members of the society: to limit the power, and moderate the dominion, of every part and member of the society.”
—John Locke (1632–1704)
“A drop of water has the properties of the sea, but cannot exhibit a storm. There is beauty of a concert, as well as of a flute; strength of a host, as well as of a hero.”
—Ralph Waldo Emerson (1803–1882)