Sum Total

The Kruskal count (also known as Kruskal's principle, Dynkin–Kruskal count, Dynkin's counting trick, Dynkin's card trick, coupling card trick or shift coupling) is a probabilistic concept originally demonstrated by the Russian mathematician Evgenii Borisovich Dynkin in the 1950s or 1960s discussing coupling effects and rediscovered as a card trick by the American mathematician Martin David Kruskal in the early 1970s as a side-product while working on another problem. It was published by Kruskal's friend Martin Gardner and magician Karl Fulves in 1975. This is related to a similar trick published by magician Alexander F. Kraus in 1957 as Sum total and later called Kraus principle. Besides uses as a card trick, the underlying phenomenon has applications in cryptography, code breaking, software tamper protection, code self-synchronization, control-flow resynchronization, design of variable-length codes and variable-length instruction sets, web navigation, object alignment, and others.

You're Welcome! - 2025-05-16T00:00:00.000000Z

Live at the World Emcee Headquarters: The Instrumentals - 2024-03-19T00:00:00.000000Z

Sum Total Presents: Live at the World Emcee Headquarters - 2023-12-22T00:00:00.000000Z

From The Garden To The World - 2023-09-22T00:00:00.000000Z

LOOP DREAMS 3 - 2023-01-31T00:00:00.000000Z

LOOP DREAMS 2 - 2023-01-05T00:00:00.000000Z

LOOP DREAMS - 2022-10-24T00:00:00.000000Z

The Finals - 2022-07-15T00:00:00.000000Z

Thank You! Thank You! Thank You! - 2022-05-24T00:00:00.000000Z

The Purple Tape - 2022-01-06T00:00:00.000000Z

THE ORANGE TAPE - 2021-12-22T00:00:00.000000Z

Madison Snare Garden, Vol. 3 - 2021-08-22T00:00:00.000000Z

DAYS BEFORE MSG3 - 2021-07-14T00:00:00.000000Z

HOMAGE. - 2021-02-23T00:00:00.000000Z

Eastern Conference Champions - 2020-12-29T00:00:00.000000Z

Fourteen - 2020-11-05T00:00:00.000000Z

Thirteen - 2020-08-14T00:00:00.000000Z

Sumptuous - 2020-05-22T00:00:00.000000Z

Created for Educational Purposes - 2020-02-14T00:00:00.000000Z

Madison Snare Garden, Vol. 2 - 2020-01-20T00:00:00.000000Z

Aftertaste - 2019-05-13T00:00:00.000000Z

Foreign+familiar - 2018-12-07T00:00:00.000000Z

FREE FORM - 2018-11-10T00:00:00.000000Z

Fruitsnacks - 2016-06-24T00:00:00.000000Z

REFRAME - 2024-04-03T00:00:00.000000Z

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