* If it is required to use a single number X as an estimate for the value of numbers, then the arithmetic mean does this best, in the sense of minimizing the sum of squares ( x < sub > i </ sub > − X )< sup > 2 </ sup > of the residuals.

If the method is applied to an infinite sequence ( X < sub > i </ sub >: i ∈ ω ) of nonempty sets, a function is obtained at each finite stage, but there is no stage at which a choice function for the entire family is constructed, and no " limiting " choice function can be constructed, in general, in ZF without the axiom of choice.

These states are labeled by a set of quantum numbers summarized in the term symbol and usually associated with particular electron configurations, i. e., by occupation schemes of atomic orbitals ( e. g., 1s < sup > 2 </ sup > 2s < sup > 2 </ sup > 2p < sup > 6 </ sup > for the ground state of neon -- term symbol: < sup > 1 </ sup > S < sub > 0 </ sub >).

The frequency and wavelength of the gamma rays indicate that each carries 511 keV of energy ( i. e., the rest mass of an electron multiplied by c < sup > 2 </ sup >).

where n < sup > c </ sup > denotes the charge conjugate state, i. e., the antiparticle.

More generally, in a k-dimensional array, the address of an element with indices i < sub > 1 </ sub >, i < sub > 2 </ sub >, …, i < sub > k </ sub > is

: B + c < sub > 1 </ sub > · i < sub > 1 </ sub > + c < sub > 2 </ sub > · i < sub > 2 </ sub > + … + c < sub > k </ sub > · i < sub > k </ sub >.

The International Time Bureau ( BIH ) began a time scale, T < sub > m </ sub > or AM, in July 1955, using both local caesium clocks and comparisons to distant clocks using the phase of VLF radio signals.

Algeria has always been a source of inspiration for different painters who tried to immortalize the prodigious diversity of the sites it offers and the profusion of the facets that passes its population, which offers for Orientalists between the 19 < sup > th </ sup > century and the 20 < sup > th </ sup > century, a striking inspiration for a very rich artistic creation like Eugène Delacroix with his famous painting women of Algiers in their apartment or Etienne Dinet or other painters of world fame like Pablo Picasso with his painting women of Algiers, or painters issued from the Algiers school.

< center ></ center >

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All 128 ASCII characters, including non-printable characters ( represented by their abbreviations ). The 95 ASCII graphic characters are numbered from 20 < sub > hexadecimal | hex </ sub > to 7E < sub > hexadecimal | hex </ sub > ( decimal 32 to 126 ).

The " space " character had to come before graphics to make sorting easier, so it became position 20 < sub > hex </ sub >; for the same reason, many special signs commonly used as separators were placed before digits.

To keep options available for lower case letters and other graphics, the special and numeric codes were arranged before the letters, and the letter " A " was placed in position 41 < sub > hex </ sub > to match the draft of the corresponding British standard.

The @ symbol was not used in continental Europe and the committee expected it would be replaced by an accented À in the French variation, so the @ was placed in position 40 < sub > hex </ sub > next to the letter A.

If f: A < sub > 1 </ sub > → A < sub > 2 </ sub > and g: B < sub > 1 </ sub > → B < sub > 2 </ sub > are morphisms in Ab, then the group homomorphism Hom ( f, g ): Hom ( A < sub > 2 </ sub >, B < sub > 1 </ sub >) → Hom ( A < sub > 1 </ sub >, B < sub > 2 </ sub >) is given by φ g o φ o f. See Hom functor.

< sup > γ </ sup > See, for example, the Winter 2006 issue of the Journal of Libertarian Studies, dedicated to reviews of Kevin Carson's Studies in Mutualist Political Economy.

See < p ></ p > for a discussion .</ ref > Yitzhak ha-Sangari is the name of the rabbi who converted the Khazars to Judaism according to Jewish sources.

Currently the entire Earth contains over 75 billion tons ( 150 trillion pounds or about 6. 8 x 10 < sup > 13 </ sup > kilograms ) of biomass ( life ), which lives within various environments within the biosphere .< ref > The figure " about one-half of one percent " takes into account the following ( See, e. g.,, which takes global average weight as 60 kg.

The power supply pins ( V < sub > S +</ sub > and V < sub > S −</ sub >) can be labeled in different ways ( See IC power supply pins ).

" See C. Mohrmann, < u > Vigiliae Christianae </ u > 6 ( 1952 ) 9ff.

< tr bgcolor ="# F4E4FF ">< td > 14 < td > Sir John See < td > Progressive < td > 28 March 1901 < td > 14 June 1904

See magneto-optical trap and Such uncertainties rival that of the NIST F-1 caesium atomic clock in the microwave region, estimated as a few parts in 10 < sup > 16 </ sup > averaged over a day.

See figure 2, which shows a peak at 2. 172 K, the so-called λ-point of < sup > 4 </ sup > He.

form, bound morpheme ① channel ② way ; reason ; principle ③ doctrine ④ Daoism ⑤ line ⑥ 〈 hist .〉 ⑦ district ; circuit canal ; passage ; tube ⑧ say ( polite words ) … See also < sup > 4 </ sup > dǎo, < sup > 4 </ sup > dāo

"< ref > See Dr. Anne Beidler's The Addiction of Mary Todd Lincoln < http :// lincoln. coffeetownpress. com /></ ref > Initially a working class drug, laudanum was cheaper than a bottle of gin or wine, because it was treated as a medication for legal purposes and not taxed as an alcoholic beverage.

< sup > 1 </ sup > See discussion of versions, below.

In April 2011, Zeta < nowiki >'</ nowiki > s new editor Adela Navarro Bello ran a front-page story stating that the newspaper had learned from cartel enforcer Luis Alberto Salazar Vega that cartel head Javier Arellano Félix had personally ordered the murder after Ortiz had published photographs of the organization's members.

< p >“ We are the largest creator and distributor of copyrights in the world, and as the first to deploy the FSN – an entirely new distribution channel – we can now accurately assess the potential for such on-demand programming as movies, sports, news, advertising, shopping, education, games, music and more.

Harvey writes that the asymptotic time complexity of this algorithm is O ( n < sup > 2 </ sup > log ( n )< sup > 2 + eps </ sup >) and claims that this implementation is significantly faster than implementations based on other methods.

According to the < i > New York Times </ i > and his memoirs, he was relying on cards provided by the school, which Quayle claims included the misspelling.

The Libyan Arab Jamahiriya claims about 19, 400 km < sup > 2 </ sup > in northern Niger and part of southeastern Algeria.

< div style =" text-align: center ; border: none "> Bob Holman </ div > One of the goals of a poetry slam is to challenge the authority of anyone who claims absolute authority over literary value.

Brewer's yeast is a good source of B-complex vitamins but, contrary to some claims, it contains little or no vitamin B < sub > 12 </ sub >.

* 2, 766, 889 km < sup > 2 </ sup > -- Argentina ( country ranked 8th by area ) ( without claims on Antarctica and the Falklands )

The paper claims improved equidistribution over MT and performance on a high specification GPU ( Nvidia GTX260 with 192 cores ) of 4. 7ms for 5x10 < sup > 7 </ sup > random 32-bit integers.

Before the Compromise: < ul >< li > California Gold Rush | Gold Rush California applies to become free state < li > Southern United States | South wanted Southern California as slave territory < li > Texas claims territory as far as the Rio Grande < li > U. S. provisional government of New Mexico | New Mexico resists Texas, applies to be free state < li > Texas takes El Paso, Texas | El Paso February 1850 < li > Mormon pioneers apply to become State of Deseret </ ol >

Territorial results of the Compromise: < ul >< li > California is admitted List of U. S. state partition proposals # California | undivided as a Slave and free states | free state, denying Southern expansion to the Pacific < li > Texas trades some territorial claims for debt relief < li > U. S. provisional government of New Mexico | New Mexico and State of Deseret | Deseret are denied statehood and become New Mexico Territory and Utah Territory with slavery left to Popular sovereignty in the United States # Emergence of the term “ popular sovereignty ” and its pejorative connotation | popular sovereignty </ ol >

Examples include " Hesperus is Phosphorus ", " Cicero is Tully ", " Water is H < sub > 2 </ sub > O " and other identity claims where two names refer to the same object.

< p > It would, however, be wrong to suppose that all papal claims of secular jurisdiction, taxation and service, etc.

Although the passage in the Book of Daniel internally claims to be a prophecy dictated to Daniel by Gabriel during the Babylonian captivity, some modern scholars believe that the Book was pseudepigraphically written in the mid-2nd century BC, and that rather than being a genuine prophecy the passage was a postdiction, written as a polemic against the shrine to Zeus set up in the temple in 168 BC by Antiochus IV Epiphanes, which had a pagan altar added onto the Altar of the Holocausts < ref > Souvay, Charles.

Theodora, the wife of Constantius Chlorus, is often called Maximian's stepdaughter by ancient sources, leading to claims by Otto Seeck and Ernest Stein that she was born from an earlier marriage between Eutropia and Afranius Hannibalianus .< ref > Aurelius Victor, de Caesaribus 39. 25 ; Eutropius, Breviaria 9. 22 ; Jerome, Chronicle 225 < sup > g </ sup >; Epitome de Caesaribus 39. 2, 40. 12, quoted in Barnes, New Empire, 33 ; Barnes, New Empire, 33 .</ ref > Barnes challenges this view, saying that all " stepdaughter " sources derive their information from the partially unreliable work of history Kaisergeschichte, while other, more reliable sources, refer to her as Maximian's natural daughter .< ref > Origo Constantini 2 ; Philostorgius, Historia Ecclesiastica 2. 16 < sup > a </ sup >, quoted in Barnes, New Empire, 33.

According to Walter Weidauer, mayor of Dresden from 1946 – 1958, Irving based his numbers on a falsified document promulgated by Nazi Propaganda Minister Joseph Goebbels, as well as claims made after the war by a former Dresden Nazi functionary, Hanns Voigt, without verifying them against official sources available in Dresden ( Walter Weidauer, < em > Inferno Dresden </ em > Dietz Verlag, 1965 ; Abridged edition, 1990, ISBN 3-320-00818-8 ).

Miners were limited to claims of 8 square feet ( 0. 75 m < sup > 2 </ sup >) and yet many were still able to become rich.

Cambodia also claims 48, 000 km < sup > 2 </ sup > of shelf area.

For example, consider an H < sub > 0 </ sub > that claims the population mean for a new treatmemnt is an improvement on a well-established treatment with population ( known from long experience ), with the one-tailed alternative being that the new treatment's.