Convex

convex

Convex means curving outwards like a sphere, and is the opposite of concave. Convex or convexity may refer to:

Science and technology

• Convex lens, in optics

Mathematics

• Convex set, containing the whole line segment that joins points
  • Convex polygon, a polygon which encloses a convex set of points
  • Convex polytope, a polytope with a convex set of points
  • Convex metric space, a generalization of the convexity notion in abstract metric spaces
• Convex function, when the line segment between any two points on the graph of the function lies above or on the graph
• Convex conjugate, of a function

Economics and finance

• Convexity (finance), second derivatives in financial modeling generally
• Convexity in economics
• Bond convexity, a measure of the sensitivity of the duration of a bond to changes in interest rates
• Convex preferences, an individual's ordering of various outcomes

Other uses

• Convex Computer, a former company that produced supercomputers

See also

• List of convexity topics
• Non-convexity (economics), violations of the convexity assumptions of elementary economics
• Obtuse angle