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:

    If there is a special Hell for writers it would be in the forced contemplation of their own works, with all the misconceptions, the omissions, the failures that any finished work of art implies.
    John Dos Passos (1896–1970)

    ... in all cases of monstrosity at birth anaesthetics should be applied by doctors publicly appointed for that purpose... Every successive year would see fewer of the unfit born, and finally none. But, it may be urged, this is legalized infanticide. Assuredly it is; and it is urgently needed.
    Tennessee Claflin (1846–1923)