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On Tue, 31 Aug 2004 22:55:08 GMT, Brian Whatcott
wrote: On Tue, 31 Aug 2004 17:01:57 -0400, Rodney Myrvaagnes wrote: You are using "asymptote" in a metaphoric, rather than mathematical sense. Hah, another bald statement of what's right and what's wrong: let's go for some clarifications: [lifted from a math site] Definition of a horizontal asymptote: The line y = y0 is a "horizontal asymptote" of f(x) if and only if f(x) approaches y0 as x approaches + or - inf Definition of a vertical asymptote: The line x = x0 is a "vertical asymptote" of f(x) if and only if f(x) approaches + or - inf as x approaches x0 from the left or from the right. Definition of a slant asymptote: the line y = ax + b is a "slant asymptote" of f(x) if and only if lim (x--+/-) f(x) = ax + b. ************************************************* ******************** Does this clarify your thoughts on what is and is not asymptotic? No, because I already knew what it was. :-) Brian W Rodney Myrvaagnes NYC J36 Gjo/a "Religious wisdom is to wisdom as military music is to music." |
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