comparison theorem
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Comparison theorem — A comparison theorem is any of a variety of theorems that compare properties of various mathematical objects. Riemannian geometry In Riemannian geometry it is a traditional name for a number of theorems that compare various metrics and provide… … Wikipedia
Cheng's eigenvalue comparison theorem — In Riemannian geometry, Cheng s eigenvalue comparison theorem states in general terms that when a domain is large, the first Dirichlet eigenvalue of its Laplace–Beltrami operator is small. This general characterization is not precise, in part… … Wikipedia
Sturm-Picone comparison theorem — In mathematics, in the field of ordinary differential equations, the Sturm Picone comparison theorem, named after Jacques Charles François Sturm and Mauro Picone, is a classical theorem which provides criteria for the oscillation and non… … Wikipedia
Berger-Kazdan comparison theorem — In mathematics, the Berger Kazdan comparison theorem is a result in Riemannian geometry that gives a lower bound on the volume of a Riemannian manifold and also gives a necessary and sufficient condition for the manifold to be isometric to the m… … Wikipedia
Rauch comparison theorem — In Riemannian geometry the Rauch comparison theorem is a fundamental result which relates the sectional curvature of a Riemannian manifold to the rate at which geodesics spread apart. Intuitively, it states that for large curvature, geodesics… … Wikipedia
Comparison of instant runoff voting to other voting systems — This article is a comparison of various voting systems with Instant runoff voting (IRV), also called the Alternative Vote , preferential voting and ranked choice voting. Contents 1 Categories 2 Voting system criteria 3 Voting system results … Wikipedia
Comparison of analog and digital recording — This article compares the two ways in which sound is recorded and stored. Actual sound waves consist of continuous variations in air pressure. Representations of these signals can be recorded using either digital or analog techniques. An analog… … Wikipedia
comparison test — Math. the theorem that a given infinite series converges if the absolute value of each term of the given series is less than or equal to the corresponding term in a known convergent series. * * * … Universalium
comparison test — Math. the theorem that a given infinite series converges if the absolute value of each term of the given series is less than or equal to the corresponding term in a known convergent series … Useful english dictionary
Nachbin's theorem — Exponential type redirects here. For exponential types in type theory and programming languages, see Function type. In mathematics, in the area of complex analysis, Nachbin s theorem (named after Leopoldo Nachbin) is commonly used to establish a… … Wikipedia
Newton's theorem of revolving orbits — Figure 1: An attractive force F(r) causes the blue planet to move on the cyan circle. The green planet moves three times faster and thus requires a stronger centripetal force, which is supplied by adding an attractive inverse cube force. The … Wikipedia