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:

    People generally will soon understand that writers should be judged, not according to rules and species, which are contrary to nature and art, but according to the immutable principles of the art of composition, and the special laws of their individual temperaments.
    Victor Hugo (1802–1885)

    In cases of defense ‘tis best to weigh
    The enemy more mighty than he seems.
    William Shakespeare (1564–1616)