The Logical Language Group Online Dictionary Query |
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From Lojban to English :
Word: si'impetotki [jbovlaste] Type: fu'ivla Gloss Word: asymptote Gloss Word: limit in the sense of "Calculus; asymptote" Definition: x1 (value, state, form) is the asymptote/limit [Calculus sense] of function/dependent variable/limitand x2 as independent variable(s) x3 tend(s) toward point/respective value(s)/tuple x4 along path/from direction x5. Notes: $x1$ is asymptotic (one sense); $x2$ is asymptotic (different sense). Although usually used in English when an extreme value is involved (in either $x1$ or $x4$) the Lojban usage can probably be pretty general and mean "limit along a path"; in this usage, delete $x5$ for "limit" in the stronger sense or follow the immediately next sentence. A true limit (for example: two-sided in the reals; along all paths/curves in the complexes) would have "all paths" specified in $x5$.