Special Cases
The Kronecker delta notation is a specific case of Iverson notation when the condition is equality. That is,
The indicator function, another specific case, has set membership as its condition:
The sign function and Heaviside step function are also easily expressed in this notation:
And the trichotomy of the reals can be expressed:
Read more about this topic: Iverson Bracket
Famous quotes containing the words special and/or cases:
“Hes leaving Germany by special request of the Nazi government. First he sends a dispatch about Danzig and how 10,000 German tourists are pouring into the city every day with butterfly nets in their hands and submachine guns in their knapsacks. They warn him right then. What does he do next? Goes to a reception at von Ribbentropfs and keeps yelling for gefilte fish!”
—Billy Wilder (b. 1906)
“The world men inhabit ... is rather bleak. It is a world full of doubt and confusion, where vulnerability must be hidden, not shared; where competition, not co-operation, is the order of the day; where men sacrifice the possibility of knowing their own children and sharing in their upbringing, for the sake of a job they may have chosen by chance, which may not suit them and which in many cases dominates their lives to the exclusion of much else.”
—Anna Ford (b. 1943)