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:
“We’ve got to figure these things a little bit different than most people. Y’know, there’s something about going out in a plane that beats any other way.... A guy that washes out at the controls of his own ship, well, he goes down doing the thing that he loved the best. It seems to me that that’s a very special way to die.”
—Dalton Trumbo (1905–1976)
“After all, the practical reason why, when the power is once in the hands of the people, a majority are permitted, and for a long period continue, to rule is not because they are most likely to be in the right, nor because this seems fairest to the minority, but because they are physically the strongest. But a government in which the majority rule in all cases cannot be based on justice, even as far as men understand it.”
—Henry David Thoreau (1817–1862)