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 cannot set aside an hour for discussion with our children and hope that it will be a time of deep encounter. The special moments of intimacy are more likely to happen while baking a cake together, or playing hide and seek, or just sitting in the waiting room of the orthodontist.”
—Neil Kurshan (20th century)
“And in cases where profound conviction has been wrought, the eloquent man is he who is no beautiful speaker, but who is inwardly drunk with a certain belief. It agitates and tears him, and perhaps almost bereaves him of the power of articulation.”
—Ralph Waldo Emerson (1803–1882)