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In calculus, the squeeze theorem (also known as the sandwich theorem, among other names [a]) is a theorem regarding the limit of a function that is bounded between two other functions. The squeeze theorem is used in calculus and mathematical analysis , typically to confirm the limit of a function via comparison with two other functions whose ...
Brun's theorem (number theory) Brun–Titchmarsh theorem (number theory) Brunn–Minkowski theorem (Riemannian geometry) Büchi-Elgot-Trakhtenbrot theorem (mathematical logic) Buckingham π theorem (dimensional analysis) Burke's theorem (probability theory, queueing theory) Burnside's theorem (group theory) Busemann's theorem (Euclidean geometry)
In computer science and mathematical logic, a proof assistant or interactive theorem prover is a software tool to assist with the development of formal proofs by human–machine collaboration. This involves some sort of interactive proof editor, or other interface , with which a human can guide the search for proofs, the details of which are ...
Str8ts-- Strachey method for magic squares-- Strähle construction-- Strahler number-- Straight and Crooked Thinking-- Straight-line program-- Straight skeleton-- Straightedge-- Straightening theorem for vector fields-- Strang splitting-- Strange nonchaotic attractor-- Strangulated graph-- Strassen algorithm-- Strassmann's theorem-- Strategic ...
A squeeze mapping moves one purple hyperbolic sector to another with the same area. It also squeezes blue and green rectangles.. In 1688, long before abstract group theory, the squeeze mapping was described by Euclid Speidell in the terms of the day: "From a Square and an infinite company of Oblongs on a Superficies, each Equal to that square, how a curve is begotten which shall have the same ...
The non-squeezing theorem, also called Gromov's non-squeezing theorem, is one of the most important theorems in symplectic geometry. [1] It was first proven in 1985 by Mikhail Gromov. [2] The theorem states that one cannot embed a ball into a cylinder via a symplectic map unless the radius of the ball is less than or equal to the radius of the ...
Theorem (semifinite part) [9] — For any measure on , there exists, among semifinite measures on that are less than or equal to , a greatest element . We say the semifinite part of μ {\displaystyle \mu } to mean the semifinite measure μ sf {\displaystyle \mu _{\text{sf}}} defined in the above theorem.
In other words, the cardinality of the set of transcendentals (denoted ) is greater than that of the set of algebraic numbers (). [ 24 ] Bernhard Riemann , at the end of his famous 1859 paper " On the Number of Primes Less Than a Given Magnitude ", stated (based on his results) that the logarithmic integral gives a somewhat too high estimate of ...