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The Meissel – Mertens constant ( named after Ernst Meissel and Franz Mertens ), also referred to as Mertens constant, Kronecker's constant, Hadamard – de la Vallée-Poussin constant or prime reciprocal constant, is a mathematical constant in number theory, defined as the limiting difference between the harmonic series summed only over the primes and the natural logarithm of the natural logarithm:
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Meissel and –
The Meissel – Mertens constant is analogous to the Euler – Mascheroni constant, but the harmonic series sum in its definition is only over the primes rather than over all integers and the logarithm is taken twice, not just once.
for all natural numbers n. The double natural logarithm indicates that the divergence might be very slow, which is indeed the case, see Meissel – Mertens constant.
The fact that there are two logarithms ( log of a log ) in the limit for the Meissel – Mertens constant may be thought of as a consequence of the combination of the prime number theorem and the limit of the Euler – Mascheroni constant.
Google posted three bids based on mathematical numbers: $ 1, 902, 160, 540 ( Brun's constant ), $ 2, 614, 972, 128 ( Meissel – Mertens constant ), and $ 3. 14159 billion ( pi ).
– and Mertens
Most famous Belgian authors are: Guido Gezelle ( 1830 – 1899 ), Emile Verhaeren ( 1855 – 1916 ), Max Elskamp ( 1862 – 1931 ), Maurice Maeterlinck ( 1862 – 1949 ), Paul van Ostaijen ( 1896 – 1926 ), Henri Michaux ( French born and educated in Belgium, 1899 – 1984 ) and Jacques Brel ( 1929 – 1978 ) and prose writers: Hendrik Conscience ( 1812 – 1883 ), Charles de Coster ( 1827 – 1879 ), Willem Elsschot ( 1882 – 1960 ), Michel de Ghelderode ( 1898 – 1962 ), Georges Simenon 1903-1989, Louis Paul Boon ( 1912 – 1979 ), Hugo Claus ( 1929 – 2008 ), Pierre Mertens ( born in 1939 ) Ernest Claes ( 1885 – 1968 ), and, Amélie Nothomb ( born in 1967 ).
Some synonyms of Chelonoidis nigra abingdonii are: Testudo abingdonii Günther, 1877 ; Testudo elephantopus abingdonii – Mertens & Wermuth, 1955 ; Geochelone elephantopus abingdoni – Pritchard, 1967 ; Geochelone nigra abingdoni – Iverson, 1992 ; Geochelone abingdoni – Valverde, 2004.
– and constant
Theorem: If K < sub > 1 </ sub > and K < sub > 2 </ sub > are the complexity functions relative to description languages L < sub > 1 </ sub > and L < sub > 2 </ sub >, then there is a constant c – which depends only on the languages L < sub > 1 </ sub > and L < sub > 2 </ sub > chosen – such that
) Conservation of angular momentum applies to J, but not to L or S ; for example, the spin – orbit interaction allows angular momentum to transfer back and forth between L and S, with the total remaining constant.
In this diagram, abcd is a cylindrical vessel, cd is a movable piston, and A and B are constant – temperature bodies.
Scanning velocity is 1. 2 – 1. 4 m / s ( constant linear velocity ) – equivalent to approximately 500 rpm at the inside of the disc, and approximately 200 rpm at the outside edge.
In light of the physical interpretation, a vector field with constant zero divergence is called incompressible or solenoidal – in this case, no net flow can occur across any closed surface.
For positive integer m the derivative of gamma function can be calculated as follows ( here γ is the Euler – Mascheroni constant ):
At this point Adams began to experiment with electronic music, and his experiences are reflected in the writing of Phrygian Gates ( 1977 – 78 ), in which the constant shifting between modules in Lydian mode and Phrygian mode refers to activating electronic gates rather than architectural ones.
He found that the percentage of participants who are prepared to inflict fatal voltages remains remarkably constant, 61 – 66 percent, regardless of time or place.
Being on a constant dose of say 100 mg. for one year, can take 18 – 24 months for safe detoxification.
The Fisher – Yates shuffle, popularized by Donald Knuth, is a simple ( a few lines of code ) and efficient ( O ( n ) on an n-card deck, assuming constant time for fundamental steps ) algorithm for doing this.
* Isometric joysticks – where the user controls the stick by varying the amount of force they push with, and the position of the stick remains more or less constant.
Quantum mechanics ( QM – also known as quantum physics, or quantum theory ) is a branch of physics dealing with physical phenomena at microscopic scales, where the action is on the order of the Planck constant.
– and named
It is named after André-Marie Ampère ( 1775 – 1836 ), French mathematician and physicist, considered the father of electrodynamics.
* 2005 – Kurdish leader Jalal Talabani becomes Iraqi president ; Shiite Arab Ibrahim al-Jaafari is named premier the next day.
* 1977 – The Big Ear, a radio telescope operated by Ohio State University as part of the SETI project, receives a radio signal from deep space ; the event is named the " Wow!
* Infante Juan Carlos Teresa Silvestre Alfonso of Spain ( 1913 – 1993 ), named heir to the throne and Count of Barcelona, whose son is the current King, Juan Carlos I of Spain.
In 1899, Ladislas Deutsch ( Laszlo Detre ) ( 1874 – 1939 ) named the hypothetical substances halfway between bacterial constituents and antibodies " substances immunogenes ou antigenes ".
* 367 – Gratian, son of Roman Emperor Valentinian I, is named co-Augustus by his father and associated to the throne aged eight.
Some districts, named the Freie Ämter ( free bailiwicks ) – Mellingen, Muri, Villmergen, and Bremgarten ), with the countship of Baden – were governed as " subject lands " by all or some of the Confederates.
He is the successor of Alain Chesnais ( 2010 – 2012 ), a French citizen living in Toronto where he runs his company named Visual Transitions and Wendy Hall of the University of Southampton.
Inspired by the farces of the ancient Roman playwright Plautus ( 251 – 183 BC ), specifically Pseudolus, Miles Gloriosus and Mostellaria, the musical tells the bawdy story of a slave named Pseudolus and his attempts to win his freedom by helping his young master woo the girl next door.
Banach spaces are named after the Polish mathematician Stefan Banach who introduced them in 1920 – 1922 along with Hans Hahn and Eduard Helly .< ref >
In mathematics, the Borsuk – Ulam theorem, named after Stanisław Ulam and Karol Borsuk, states that every continuous function from an n-sphere into Euclidean n-space maps some pair of antipodal points to the same point.
Additionally, Brooks Robinson was named Most Valuable Player in 1964, just two years before the 1966 – 1983 golden era began.
Sydney was named as a tribute to one of Lara's favourite grounds, the Sydney Cricket Ground, where Lara scored his first Test century-the highly acclaimed 277 in the 1992 – 93 season.
" The account noted a story of an Aboriginal woman being killed by a bunyip and the " most direct evidence of all " – that of a man named Mumbowran " who showed several deep wounds on his breast made by the claws of the animal ".
The " Orange " in Orange Free State ( 1854 – 1902 ) was named after the Protestant House of Orange in the Netherlands.
With Hugh's coronation, a new era began for France, and his descendants came to be named the Capetians, with the Capetian dynasty ruling France for more than 800 years ( 987 – 1848, with some interruptions ).
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