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:
“The great rule: If the little bit you have is nothing special in itself, at least find a way of saying it that is a little bit special.”
—G.C. (Georg Christoph)
“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)