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:

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Famous quotes containing the words special and/or cases:

    I have a special grudge against those who have the same faults as I do.
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    For the most part, we are not where we are, but in a false position. Through an infirmity of our natures, we suppose a case, and put ourselves into it, and hence are in two cases at the same time, and it is doubly difficult to get out.
    Henry David Thoreau (1817–1862)