Concave - AbsoluteAstronomy.com

The word concave means curving in or hollowed inward, as opposed to convex. The former may be used in reference to:

Concave lens, a lens with inward-curving (concave) surfaces.
Concave polygon, a polygon which is not convex.
Concave function
Concave function
In mathematics, a concave function is the negative of a convex function. A concave function is also synonymously called concave downwards, concave down, convex upwards, convex cap or upper convex.-Definition:...

, a type of function which is related to convex function
Convex function
In mathematics, a real-valued function f defined on an interval is called convex if the graph of the function lies below the line segment joining any two points of the graph. Equivalently, a function is convex if its epigraph is a convex set...

s.
Concave mirror
Concave set
Concave set
In mathematics, the notion of a "concave set" is not correct. A set that is not convex, is a non-convex set....
Concave football boot
Concave football boot
Concave Holdings Ltd is based in Toronto, Canada. The company is globally oriented with a principal office in Manchester UK, executive office in Toronto, and locations in the US...

, a football boot company.

In addition, the term concave upwards is used for convex function

Convex function

In mathematics, a real-valued function f defined on an interval is called convex if the graph of the function lies below the line segment joining any two points of the graph. Equivalently, a function is convex if its epigraph is a convex set...

s, and concave downwards for concave function

Concave function

In mathematics, a concave function is the negative of a convex function. A concave function is also synonymously called concave downwards, concave down, convex upwards, convex cap or upper convex.-Definition:...

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