Binomial Transform - Shift States

Shift States

The binomial transform is the shift operator for the Bell numbers. That is,

where the Bn are the Bell numbers.

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Famous quotes containing the words shift and/or states:

    Let us not be dainty of leave-taking,
    But shift away.
    William Shakespeare (1564–1616)

    When some one remarked that, with the addition of a chaplain, it would have been a perfect Cromwellian troop, he observed that he would have been glad to add a chaplain to the list, if he could have found one who could fill that office worthily. It is easy enough to find one for the United States Army. I believe that he had prayers in his camp morning and evening, nevertheless.
    Henry David Thoreau (1817–1862)