* 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.

To see the elongated shape of ψ ( x, y, z )< sup > 2 </ sup > functions that show probability density more directly, see the graphs of d-orbitals below.

: r = ( 2 < sup >( n-m )</ sup >+ 1 )< sup > 2 </ sup > × 2 < sup > m + n </ sup > − 1,

;< sup > 209 </ sup > Bi (< sup > 54 </ sup > Cr, xn )< sup > 263-x </ sup > Bh ( x = 1, 2 )

;< sup > 209 </ sup > Bi (< sup > 53 </ sup > Cr, xn )< sup > 262-x </ sup > Bh

;< sup > 209 </ sup > Bi (< sup > 52 </ sup > Cr, xn )< sup > 261-x </ sup > Bh ( x = 1 )

* Paolo Cossa as Narrator ( voice )< sup >†</ sup >

** N | u ‖' en ( Nusan, N | usan )< sup >†</ sup >

Egyptian civilization coalesced around 3150 BC ( according to conventional Egyptian chronology )< ref >

An amide is a compound with the functional group R < sub > n </ sub > E ( O )< sub > x </ sub > NR '< sub > 2 </ sub > ( R and R ' refer to H or organic groups ).

The term amide refers both to classes of compounds and to the functional group ( R < sub > n </ sub > E ( O )< sub > x </ sub > NR '< sub > 2 </ sub >) within those compounds.

* Equate – Al ( OH )< sub > 3 </ sub > and Mg ( OH )< sub > 2 </ sub >

Just as kets and bras can be transformed into each other ( making into ) the element from the dual space corresponding with is where A < sup >†</ sup > denotes the Hermitian conjugate ( or adjoint ) of the operator A.

If A is expressed as an N × N matrix, then A < sup >†</ sup > is its conjugate transpose.

Self-adjoint operators, where A = A < sup >†</ sup >, play an important role in quantum mechanics ; for example, an observable is always described by a self-adjoint operator.

:"< sup >†</ sup > We shall use the expression ' computable function ' to mean a function calculable by a machine, and let ' effectively calculable ' refer to the intuitive idea without particular identification with any one of these definitions.

The development ... leads to ... an identification of computability < sup >†</ sup > with effective calculability.

The first collisional family — a group of objects thought to be remnants from the breakup of a single body — is the Haumea family It includes Haumea, its moons, and seven smaller bodies .< sup >†</ sup > The objects not only follow similar orbits but also share similar physical characteristics.

< sup >†</ sup >

The following demographic statistics are from the CIA World Factbook ().< ref name =" CIA_20110303 ">< sup >†</ sup > note: estimates for this country explicitly take into account the effects of excess mortality due to AIDS ; this can result in lower life expectancy, higher infant mortality and death rates, lower population and growth rates, and changes in the distribution of population by age and sex than would otherwise be expected < sup >‡</ sup > note: the preliminary 2011 numbers differ significantly from those of 2010, which were strongly influenced by the demographic effect of the January 2010 earthquake ; the latest figures more closely correspond to those of 2009 </ ref >

⟨ X | R ⟩ of a group H, one can recursively enumerate all homomorphisms h: H → G by first enumerating all mappings h < sup >†</ sup >: X → G. Not all of these mappings extend to homomorphisms, but, since h < sup >†</ sup >( R ), is finite, it is possible to distinguish between homomorphism and non-homomorphisms by using the solution to the word problem in G. " Weeding out " non-homomorphisms gives the required recursive enumeration: h < sub > 1 </ sub >, h < sub > 2 </ sub >, ..., h < sub > n </ sub >, ....

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.

A number of non-Greek etymologies have been suggested for the name, The form Apaliunas (< sup > d </ sup >) is attested as a god of Wilusa in a treaty between Alaksandu of Wilusa and the Hittite great king Muwatalli II ca 1280 BCE.

* Myth: The Total Codex-1999 < sup >†</ sup >

* Myth II: Worlds-2001 < sup >†</ sup >

* Green Berets-Powered by Myth II-2001 < sup >†</ sup >

< sup >†</ sup > The above marked were not new titles in the Myth series, but rather releases of user created content bundled with the games.

* Jay Ashworth as Monk < sup >†</ sup >

* Forrest T. Butler as Monk < sup >†</ sup >

* Ted Mossman as Monk < sup >†</ sup >

< sup >†</ sup >