Properties
- The reduced derivative rd(z) is defined only μz-almost everywhere on .
- If t is a jump point of z, then
- If z is differentiable on (t1, t2), then
- and, for t ∈ (t1, t2),
-
- ,
- For 0 ≤ s < t ≤ T,
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“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 (18031882)
“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 (16321704)