quantitative theorem
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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
Equipartition theorem — [ Thermal motion of an α helical peptide. The jittery motion is random and complex, and the energy of any particular atom can fluctuate wildly. Nevertheless, the equipartition theorem allows the average kinetic energy of each atom to be computed … Wikipedia
Shannon–Hartley theorem — In information theory, the Shannon–Hartley theorem tells the maximum rate at which information can be transmitted over a communications channel of a specified bandwidth in the presence of noise. It is an application of the noisy channel coding… … Wikipedia
Perron–Frobenius theorem — In linear algebra, the Perron–Frobenius theorem, proved by Oskar Perron (1907) and Georg Frobenius (1912), asserts that a real square matrix with positive entries has a unique largest real eigenvalue and that the corresponding… … Wikipedia
Chebotarev's density theorem — in algebraic number theory describes statistically the splitting of primes in a given Galois extension K of the field Q of rational numbers. Generally speaking, a prime integer will factor into several ideal primes in the ring of algebraic… … Wikipedia
Modigliani–Miller theorem — The Modigliani–Miller theorem (of Franco Modigliani, Merton Miller) forms the basis for modern thinking on capital structure. The basic theorem states that, under a certain market price process (the classical random walk), in the absence of taxes … Wikipedia
Modigliani-Miller theorem — The Modigliani Miller theorem (of Franco Modigliani, Merton Miller) forms the basis for modern thinking on capital structure. The basic theorem states that, in the absence of taxes, bankruptcy costs, and asymmetric information, and in an… … Wikipedia
Mutual fund separation theorem — In portfolio theory, a mutual fund separation theorem, mutual fund theorem, or separation theorem is a theorem stating that, under certain conditions, any investor s optimal portfolio can be constructed by holding each of certain mutual funds in… … Wikipedia
Erdős–Stone theorem — In extremal graph theory, the Erdős–Stone theorem is an asymptotic result generalising Turán s theorem to bound the number of edges in an H free graph for a non complete graph H . It is named after Paul Erdős and Arthur Stone, who proved it in… … Wikipedia
Fluktuations-Dissipations-Theorem — In der Statistischen Physik leitet sich im Rahmen der sogenannten „linear response“ Theorie das Fluktuations Dissipations Theorem quantitativ rigoros aus dem statistischen Operator des Systems ab, und zwar am besten mit Hilfe der sogenannten LSZ… … Deutsch Wikipedia
Beck's theorem (geometry) — In incidence geometry, Beck s theorem is a more quantitative form of the more classical Sylvester–Gallai theorem. It says that finite collections of points in the plane fall into one of two extremes; one where a large fraction of points lie on a… … Wikipedia
