Application
The order was used by Katz, Schaps, and Vishne to construct a family of Hurwitz surfaces satisfying an asymptotic lower bound for the systole: where g is the genus, improving an earlier result of Peter Buser and Peter Sarnak; see systoles of surfaces.
Read more about this topic: Hurwitz Quaternion Order
Famous quotes containing the word application:
“The main object of a revolution is the liberation of man ... not the interpretation and application of some transcendental ideology.”
—Jean Genet (1910–1986)
“It is known that Whistler when asked how long it took him to paint one of his “nocturnes” answered: “All of my life.” With the same rigor he could have said that all of the centuries that preceded the moment when he painted were necessary. From that correct application of the law of causality it follows that the slightest event presupposes the inconceivable universe and, conversely, that the universe needs even the slightest of events.”
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—Lewis Carroll [Charles Lutwidge Dodgson] (1832–1898)