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Douglas Harper's Etymology Dictionary
permutate

1898 in modern use, "change the order of," from Latin permutatus, past participle of permutare (see permutation). "Probably regarded by those who use it as a back-formation from permutation" [OED]. Related: Permutated; permutating.

Wiktionary
permutate

vb. To carry out a permutation

Usage examples of "permutate".

Also the program permutated the dictionary words to try each word with an appended digit, or appending the number of the current month.

When he had become proficient at this, he was taught how to calculate the numerical values of the alphabet, first on individual letters and afterward on permutated letters, spelled-out letters, and names of numbers.

Abulafia gave his students a traditional formula for meditation on three verses in Exodus, each of which contained seventy-two letters that could be permutated to form the Name.

Finally convinced that he had not imagined the entire episode, he came to Abulafia, asking for an exercise which would enable him to tolerate and sustain the tremendous force that seemed to emanate from his heart as he permutated the letters.

Louis Woman after hours - Do you love me with a banjo permutated Dead Man Blues?

But thinking he had nothing to lose, Shem Tov the Sephardi cleared his mind of extraneous thoughts, sat down with pen, paper, and ink, and started permutating the letters.

He's the guy who patented using genetic algorithms to patent everything they can permutate from an initial description of a problem domain –.

He's the guy who patented using genetic algorithms to patent everything they can permutate from an initial description of a problem domain—.