What does quasiconvex mean?
Definitions for quasiconvex
qua·si·con·vex
This dictionary definitions page includes all the possible meanings, example usage and translations of the word quasiconvex.
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Wiktionary
quasiconvexadjective
said of a function, if the inverse image of any set of the form (-∞,a) for that function is a convex set.
Wikipedia
quasiconvex
In mathematics, a quasiconvex function is a real-valued function defined on an interval or on a convex subset of a real vector space such that the inverse image of any set of the form ( − ∞ , a ) {\displaystyle (-\infty ,a)} is a convex set. For a function of a single variable, along any stretch of the curve the highest point is one of the endpoints. The negative of a quasiconvex function is said to be quasiconcave. All convex functions are also quasiconvex, but not all quasiconvex functions are convex, so quasiconvexity is a generalization of convexity. Univariate unimodal functions are quasiconvex or quasiconcave, however this is not necessarily the case for functions with multiple arguments. For example, the 2-dimensional Rosenbrock function is unimodal but not quasiconvex and functions with star-convex sublevel sets can be unimodal without being quasiconvex.
Numerology
Chaldean Numerology
The numerical value of quasiconvex in Chaldean Numerology is: 7
Pythagorean Numerology
The numerical value of quasiconvex in Pythagorean Numerology is: 6
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"quasiconvex." Definitions.net. STANDS4 LLC, 2024. Web. 26 Apr. 2024. <https://www.definitions.net/definition/quasiconvex>.
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