Convex Combination - Related Constructions

Related Constructions

For more details on this topic, see Linear combination#Affine, conical, and convex combinations.
  • A conical combination is a linear combination with nonnegative coefficients
  • Weighted means are functionally the same as convex combinations, but they use a different notation. The coefficients (weights) in a weighted mean are not required to sum to 1; instead the sum is explicitly divided from the linear combination.
  • Affine combinations are like convex combinations, but the coefficients are not required to be non-negative. Hence affine combinations are defined in vector spaces over any field.

Read more about this topic:  Convex Combination

Famous quotes containing the word related:

    The question of place and climate is most closely related to the question of nutrition. Nobody is free to live everywhere; and whoever has to solve great problems that challenge all his strength actually has a very restricted choice in this matter. The influence of climate on our metabolism, its retardation, its acceleration, goes so far that a mistaken choice of place and climate can not only estrange a man from his task but can actually keep it from him: he never gets to see it.
    Friedrich Nietzsche (1844–1900)