# convex

### Definitions:

• Having a surface or boundary that curves or bulges outward, as the exterior of a sphere.
• Curved, as a line or surface, in the manner of a circle or sphere when viewed from some point without it; curved away from the point of view; hence, bounded by such a line or surface: as, a <em>convex</em> mirror.
• Specifically In <em>zöol.</em> and <em>anatomy</em>, elevated and regularly rounded; forming a segment of a sphere, or nearly so: distinguished from <internalXref urlencoded="gibbous">gibbous</internalXref>, which is applied to a less regular elevation.
• [⟨ L. <em>convexum</em>, prop. neut. of <em>convexus</em>, adj.: see above.] A convex body or surface.
• In <em>geometry</em>, having no reëntrant angle.
• Rising or swelling into a spherical or rounded form; regularly protuberant or bulging; -- said of a spherical surface or curved line when viewed from without, in opposition to <ex>concave</ex>.
• convex on both sides; convexo-convex.
• A convex body or surface.
• curved or bowed outward like the outside of a bowl or <xref>sphere</xref> or <xref>circle</xref>
• (Of a set of points) such that for any two points in the set, every point between those two points is also in the set
• (of a <xref>real-valued</xref> <xref>function</xref> on the <xref>reals</xref>) such that the value at any point, is no larger than the <xref>interpolated</xref> value thereat, based on the values at any two points between which the first point is contained
• Any convex <xref>body</xref> or <xref>surface</xref>.
• curving or bulging outward