Iverson Bracket - Special Cases

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)

    I do not believe in lawyers, in that mode of attacking or defending a man, because you descend to meet the judge on his own ground, and, in cases of the highest importance, it is of no consequence whether a man breaks a human law or not. Let lawyers decide trivial cases.
    Henry David Thoreau (1817–1862)