Ultrapower (original) (raw)
TOPICS
Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology
Alphabetical Index New in MathWorld
An ultrapower is a specific type of ultraproduct that can be used to construct nonstandard universes and obtain the transfer principle as a corollary of Łoś' theorem for ultraproducts.
See also
Łoś' Theorem, Nonstandard Analysis, Ultraproduct
This entry contributed by Matt Insall (author's link)
Explore with Wolfram|Alpha
More things to try:
- (1,1,-3) in spherical coordinates
- domain of f(x) = x/(x^2-1)
- linear independence (1,3,-2), (2,1,-3), (-3,6,3)
Cite this as:
Insall, Matt. "Ultrapower." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.https://mathworld.wolfram.com/Ultrapower.html