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.
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Famous quotes containing the word expansive:
“Spring’s an expansive time: yet I don’t trust
March with its peck of dust,
Nor April with its rainbow-crowned brief showers,
Nor even May, whose flowers
One frost may wither thro’ the sunless hours.”
—Christina Georgina Rossetti (1830–1894)
“An expansive life, one not constrained by four walls, requires as well an expansive pocket.”
—Anton Pavlovich Chekhov (1860–1904)
“The expansive nature of truth comes to our succor, elastic, not to be surrounded. Man helps himself by larger generalizations. The lesson of life is practically to generalize; to believe what the years and the centuries say against the hours; to resist the usurpation of particulars; to penetrate to their catholic sense.”
—Ralph Waldo Emerson (1803–1882)