# Expansive

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## Possible Answers: VAST.

### Random information on the term “Expansive”:

In mathematics, the notion of expansivity formalizes the notion of points moving away from one another under the action of an iterated function. The idea of expansivity is fairly rigid, as the definition of positive expansivity, below, as well as the Schwarz–Ahlfors–Pick theorem demonstrate.

If ( X , d ) {\displaystyle (X,d)} is a metric space, a homeomorphism f : X → X {\displaystyle f\colon X\to X} is said to be expansive if there is a constant

called the expansivity constant, such that for every pair of points x ≠ y {\displaystyle x\neq y} in X {\displaystyle X} there is an integer n {\displaystyle n} such that

Note that in this definition, n {\displaystyle n} can be positive or negative, and so f {\displaystyle f} may be expansive in the forward or backward directions.

### Random information on the term “VAST”:

Jon Crosby (born July 25, 1976) is an American musician and founder of the musical outfit VAST.

Crosby was born in Los Angeles, California, United States, and grew up in Humboldt and Sonoma counties in Northern California, raised by a single mother from an upper-class family who owned a record store in Fortuna, California. His great-grandfather was John C. Crosby, a congressman from Massachusetts and his ancestry on his mother’s side is English and Native American. It is speculated that his father, who was a lounge guitarist whom he never met, may have been partially Japanese.[citation needed]

At the age of 13, he was profiled in Guitar Player magazine and Shrapnel Magazine as a rising young star. He developed a love for classical music after watching the film Amadeus.[citation needed] When he met a girl named Michelle in 6th Grade, he learned to play The Beatles’ hit “Michelle” on guitar to impress her. This sparked his interest in The Beatles, and in rock music in general.[citation needed] Crosby’s other influences include Steve Vai, Joe Satriani, U2 and Depeche Mode.[citation needed] He formed VAST in 1993, at the age of 16, after moving to Petaluma, California with friends Mike Alioti and Dimitri Katzoff, formerly of ska-band The Conspiracy, though that line-up was short-lived and would be frequently supplanted.[citation needed] He played few early shows, mainly at the Phoenix Theater.[citation needed]