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Convex vs Convex - What's the difference?

convex | convex |

In mathematics|not comparable|of a [[set]]|lang=en terms the difference between convex and convex

is that convex is (mathematics|not comparable|of a set) arranged such that for any two points in the set, a straight line between the two points is contained within the set while convex is (mathematics|not comparable|of a set) arranged such that for any two points in the set, a straight line between the two points is contained within the set.

In geometry|not comparable|of a [[polygon]]|lang=en terms the difference between convex and convex

is that convex is (geometry|not comparable|of a polygon) having no internal angles greater than 180 degrees while convex is (geometry|not comparable|of a polygon) having no internal angles greater than 180 degrees.

In functional analysis|not comparable|of a [[real-valued]] [[function]] on the [[real]]s|lang=en terms the difference between convex and convex

is that convex is (functional analysis|not comparable|of a real-valued function on the reals) having an epigraph which is a convex set while convex is (functional analysis|not comparable|of a real-valued function on the reals) having an epigraph which is a convex set.

As adjectives the difference between convex and convex

is that convex is curved or bowed outward like the outside of a bowl or sphere or circle while convex is curved or bowed outward like the outside of a bowl or sphere or circle.

As nouns the difference between convex and convex

is that convex is any convex body or surface while convex is any convex body or surface.

convex

English

Adjective

(en adjective)
  • curved or bowed outward like the outside of a bowl or sphere or circle
  • * Whewell
    • Drops of water naturally form themselves into figures with a convex surface.
  • (mathematics, not comparable, of a set) arranged such that for any two points in the set, a straight line between the two points is contained within the set.
  • (geometry, not comparable, of a polygon) having no internal angles greater than 180 degrees.
  • (functional analysis, not comparable, of a real-valued function on the reals) having an epigraph which is a convex set.

    • Antonyms

    * concave

    Derived terms

    * convex combination * convex set

    Noun

    (es)
  • Any convex body or surface.
  • * Tickell
    • Half heaven's convex glitters with the flame.

    References

    * ----

    convex

    English

    Adjective

    (en adjective)
  • curved or bowed outward like the outside of a bowl or sphere or circle
  • * Whewell
    • Drops of water naturally form themselves into figures with a convex surface.
  • (mathematics, not comparable, of a set) arranged such that for any two points in the set, a straight line between the two points is contained within the set.
  • (geometry, not comparable, of a polygon) having no internal angles greater than 180 degrees.
  • (functional analysis, not comparable, of a real-valued function on the reals) having an epigraph which is a convex set.

    • Antonyms

    * concave

    Derived terms

    * convex combination * convex set

    Noun

    (es)
  • Any convex body or surface.
  • * Tickell
    • Half heaven's convex glitters with the flame.

    References

    * ----