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    Con·vex
    /ˌkänˈveks/

    adjective

    • 1. having an outline or surface curved like the exterior of a circle or sphere: "a convex lens"
    • 2. (of a polygon) having only interior angles measuring less than 180°.
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  3. Learn the meaning of convex as an adjective for curves, functions, sets, and figures. See examples, synonyms, etymology, and related words for convex.

  4. Not convex. In mathematics, a real-valued function is called convex if the line segment between any two distinct points on the graph of the function lies above the graph between the two points. Equivalently, a function is convex if its epigraph (the set of points on or above the graph of the function) is a convex set.

  5. Convex definition: having a surface that is curved or rounded outward.. See examples of CONVEX used in a sentence.

  6. Curved outwards. Example: A polygon (which has straight sides) is convex when there are NO "dents" or indentations in it (no internal angle is greater than 180°) The opposite idea is called "concave". See: Concave. Polygons. Illustrated definition of Convex: Curved outwards.

  7. Convex means curved or swelling out, such as a convex lens or mirror. Learn more about the properties and applications of convex shapes and functions with Cambridge Dictionary.

  8. May 16, 2024 · A convex function is a continuous function whose value at the midpoint of every interval in its domain does not exceed the arithmetic mean of its values at the ends of the interval. More generally, a function f (x) is convex on an interval [a,b] if for any two points x_1 and x_2 in [a,b] and any lambda where 0<lambda<1, f [lambdax_1+ (1-lambda ...

  9. A convex function is a real valued function that satisfies the condition that the line segment joining any two points on its graph lies above the graph. Learn how to define, identify and use convex functions in analysis, optimization and probability theory.

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