Mathematics
- Convex set, a set of points containing all line segments between each pair of its points
- Convex function, a function whose epigraph forms a convex set
- Convex polytope, a polytope which forms a convex set. These include convex polygons.
- Convex hull, the minimal convex set containing a set of points X
- Convex combination, a linear combination of points with non-negative coefficients that sum up to 1
- Convex conjugate, a generalization of the Legendre transformation
- Convex bipartite graph, a special kind of bipartite graph
- Convex polygon, a polygon which is not concave
- Convex plane graph, a plane graph with convex faces
- Convex optimization, a subfield of optimization, studies the problem of minimizing convex functions
- Convex geometry, the branch of geometry studying convex sets, mainly in Euclidean space
- Convex curve, the boundary of a convex set
- Convex body, a compact convex set with non-empty interior
Read more about this topic: Convex
Famous quotes containing the word mathematics:
“The three main medieval points of view regarding universals are designated by historians as realism, conceptualism, and nominalism. Essentially these same three doctrines reappear in twentieth-century surveys of the philosophy of mathematics under the new names logicism, intuitionism, and formalism.”
—Willard Van Orman Quine (b. 1908)
“Why does man freeze to death trying to reach the North Pole? Why does man drive himself to suffer the steam and heat of the Amazon? Why does he stagger his mind with the mathematics of the sky? Once the question mark has arisen in the human brain the answer must be found, if it takes a hundred years. A thousand years.”
—Walter Reisch (1903–1963)
“In mathematics he was greater
Than Tycho Brahe, or Erra Pater:
For he, by geometric scale,
Could take the size of pots of ale;
Resolve, by sines and tangents straight,
If bread and butter wanted weight;
And wisely tell what hour o’ th’ day
The clock doth strike, by algebra.”
—Samuel Butler (1612–1680)