Properties
The Kronecker symbol shares many basic properties of the Jacobi symbol, under certain restrictions:
- if, otherwise .
- unless and one of is zero.
- unless and one of is zero.
- For, we have whenever If additionally have the same sign, the same also holds for .
- For, we have whenever
Read more about this topic: Kronecker Symbol
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)