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Home > Bohr-Mollerup theorem

as the only function f on the interval x > 0 that simultaneously has the three properties

• and
• and
• is a convex function.

That log f is convex is often expressed by saying that f is log-convex, i.e., a log-convex function is one whose logarithm is convex.

External link

Proof, at PlanetMath

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Topics: Bohr-Mollerup Theorem Function Convex Log-convex Bohr...

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BohriumBohrium is a chemical element in the periodic table that has the symbol Bh and atomic number 107. It is a synthetic element whose most stable isotope, Bh-262, has a half-life of 102 ms. History It was synthesized in 1976 by a Soviet team led by Y. Oganess Bohr modelThe Bohr Model is a physical model that depicts the atom as a small positively charged nucleus with electrons in orbit at different levels, similar in structure to the solar system. It is named for the Danish physicist Niels Bohr. Developments in the fiel Bohr radiusIn Bohr's model of the hydrogen atom, the Bohr radius is the radius of the lowest energy orbit: where: : is the permittivity of vacuum : is Dirac's constant or the "reduced Planck's constant" : is the electron rest mass and : is the elementary charge It h Bohr magnetonThe Bohr magneton (symbol ) is named after the physicist Niels Bohr. It is a physical constant of magnetic moment, defined by: : where: : is the elementary charge, : is the reduced Planck's constant, : is the electron rest mass In the SI system of units i Bohr effectThe Bohr effect is an adaption in animals to reduce the affinity of hemoglobin for oxygen as a response to an increase in blood carbon dioxide levels and a decrease in pH. It was first found by the danish physiologist Christian Bohr. the dissociation curv Bohr compactificationIn mathematics, the Bohr compactification of a topological group G is a compact Hausdorff topological group H that may be canonically associated to G''. Its importance lies in the reduction of the theory of uniformly almost periodic functions on G to the Bohr-Mollerup theorem Bohr-Einstein debates Bohr bug Bohr (crater)