* 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.

For example, the open interval ( 0, 1 ) does not have a least element: if x is in ( 0, 1 ), then so is x / 2, and x / 2 is always strictly smaller than x.

As an example, the field of real numbers is not algebraically closed, because the polynomial equation x < sup > 2 </ sup > + 1 = 0 has no solution in real numbers, even though all its coefficients ( 1 and 0 ) are real.

Also, no finite field F is algebraically closed, because if a < sub > 1 </ sub >, a < sub > 2 </ sub >, …, a < sub > n </ sub > are the elements of F, then the polynomial ( x − a < sub > 1 </ sub >)( x − a < sub > 2 </ sub >) ··· ( x − a < sub > n </ sub >) + 1

Here, < sub > n </ sub > denotes the sample mean of the first n samples ( x < sub > 1 </ sub >, ..., x < sub > n </ sub >), s < sup > 2 </ sup >< sub > n </ sub > their sample variance, and σ < sup > 2 </ sup >< sub > n </ sub > their population variance.

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.

In more general sense, each column is treated as a polynomial over GF ( 2 < sup > 8 </ sup >) and is then multiplied modulo x < sup > 4 </ sup >+ 1 with a fixed polynomial c ( x ) = 0x03 · x < sup > 3 </ sup > + x < sup > 2 </ sup > + x + 0x02.

-rwxrwx -- x 1 unixguy staff 29 Jan 26 14: 03 < span style =" color :# 00ff00 "> executable </ span >

The WFD in operates a fleet of four E-One Engines ( 2 x 2, 000 GPM & 2 x 1, 500 GPM ) and 1 E-One 110 ' Ladder with two support pick-ups, one support SUV, and three staff 4x4 vehicles.

Berg notates several degrees of sprechstimme, e. g. in Wozzeck, using single-line staff for rhythmic speaking, five-line staffs with x through the note stem, and a single stroke through the stem for close-to-singing sprechstimme.

The station now operates a team of promotional staff along with a fleet of promotional vehicles that it inherited from its new owners including outside broadcast units, 2 x 17 ton events units, articulated events truck and mobile on air studio.

Street scenes in the burgeoning cities of Canada, the magnificence of modern transportation by rail and steam, expansive landscapes and the natural wonders, all were in demand either as 8 " x 10 " prints, or in the popular stereographic form, and were duly recorded by the many staff photographers working for the Notman studio.

* math enthusiasts who can in less than 25 seconds mentally solve 2 x 5 digit multiplication problems ( e. g., 23 x 48, 856 ) that have been presented orally by the researcher.

;< sup > 226 </ sup > Ra (< sup > 48 </ sup > Ca, xn )< sup > 274 − x </ sup > Hs ( x = 4 )

Three Ages of Woman and Death 1510 Oil on limewood, 48 x 32, 5 cm Kunsthistorisches Museum, Vienna

For instance, if a vehicle travels a certain distance at a speed x ( e. g. 60 kilometres per hour ) and then the same distance again at a speed y ( e. g. 40 kilometres per hour ), then its average speed is the harmonic mean of x and y ( 48 kilometres per hour ), and its total travel time is the same as if it had traveled the whole distance at that average speed.

( 96 x 48 in.

Their footprints ( bases ) are often similar to the size of a standard pallet ( 40 in x 48 in ).

Meanwhile, the orbiter engine performed a burn to put the spacecraft into a 1380 x 24, 940 km, 18 hour orbit about Mars with an inclination of 48. 9 degrees.

* 1796 – Fishermen at Sea, oil on canvas, 36 x 48 1 / 8 in., Tate Gallery, London

;< sup > 237 </ sup > Np (< sup > 48 </ sup > Ca, xn )< sup > 285-x </ sup > Uut ( x = 3 )

The orbiter engine performed a burn to put the spacecraft into a 1380 x 24, 940 km, 18 hour orbit about Mars with an inclination of 48. 9 degrees.

Grenville Davey received the prize for Entitled HAL, a work consisting of two abstract steel objects, each measuring 244 x 122 cm ( 96 x 48 in ).

The BattleBox is a 48 ' x 48 ' square arena designed to protect the drivers, officials, and audience from flying shrapnel and charging bots.

* 7 July — the third French Grand Prix, organised by the Automobile Club de France ( ACF ), is run at Dieppe over 477. 48 miles ( 47. 74 miles x 10 laps ).

Entitled HAL, the work comprised two abstract steel objects, each measuring 244 x 122 cm ( 96 x 48 in ).

Robert Delaunay, 1906, L ' homme à la tulipe ( Portrait de Jean Metzinger ), oil on canvas, 72. 4 x 48. 5 cm ( 28 1 / 2 by 19 1 / 8 in ).

( 96 x 48 in.

* The Fisherman and the Siren, c. 1856 – 1858 ( 66. 3 x 48. 7 cm )

* Mother and Child, c. 1865, ( 48. 2 x 82 cm )

Rejtan-The Fall of Poland, oil on canvas by Jan Matejko, 1866, 282 x 487 cm, Royal Castle in Warsaw.

In addition, an epoch optionally prefixed by " J " and designated as a year with decimals ( 2000 + x ), where x is positive or negative and quoted to 1 or 2 decimal places, has come to mean a date that is an interval of x Julian years of 365. 25 days away from the epoch J2000 = JD 2451545. 0 ( TT ), still corresponding ( in spite of the use of the prefix " J " or word " Julian ") to the Gregorian calendar date of 2000 Jan 1 at 12h TT ( about 64 seconds before noon UTC on the same calendar day ).

St Luke Painting the Madonna by Jan Mabuse ( 1520-25 ) Wood, 109, 5 x 82 cm Kunsthistorisches Museum, Vienna

Still Life with Fruit, Flowers, Glasses and Lobster by Jan Davidszoon de Heem ( 1660s ) Oil on canvas, 87, 5 x 72, 5 cm.

< center > Stańczyk </ center >< center > Prussian Homage | The Prussian Homage ( detail )</ br > Jan Matejko </ br > Oil on canvas, 1882, 388 x 875 cm, National Museum in Kraków </ center >

* Jan van Eyck, Lucca Madonna, 1390 – 1441, mixed technique, 66 x 50 cm

;< sup > 243 </ sup > Am (< sup > 26 </ sup > Mg, xn )< sup > 269-x </ sup > Bh ( x = 3, 4, 5 )

After 10 rounds, play 1 per round, the average house profit will be 10 x 1 x 5. 26 % = 0. 53.

After 10 rounds, the expected loss will be 10 x 1 x 5. 26 % = 0. 53.

;< sup > 248 </ sup > Cm (< sup > 26 </ sup > Mg, xn )< sup > 274 − x </ sup > Hs ( x = 3, 4, 5 )

Hideo Hosono, of the Tokyo Institute of Technology, and colleagues found lanthanum oxygen fluorine iron arsenide ( LaO < sub > 1-x </ sub > F < sub > x </ sub > FeAs ), an oxypnictide that superconducts below 26 K. Replacing the lanthanum in LaO < sub > 1 − x </ sub > F < sub > x </ sub > FeAs with samarium leads to superconductors that work at 55 K.

I. e., if x + n or x-n are not in the range 0 ... 25, we have to subtract or add 26.

Most notably, while studying the Valley of the Kings, he damaged KV17, the tomb of Seti I, by removing a wall panel of 2. 26 x 1. 05 m in a corridor while other elements were removed by his companion Rossellini or the German expedition of 1845.

The Fairy Feller's Master-Stroke by Richard Dadd, oil on canvas, 26 inches x 21 inches, 1855 – 64, Tate Gallery, London, England, UK

The spacecraft was launched on an Air Force-Convair Atlas intercontinental ballistic missile coupled to Thor-Able upper stages including an Able x 248 rocket third stage, on November 26, 1959.

* Chronica Majora Corpus Christi College, Cambridge Ms 26, 16, 362 x 244 / 248 mm.

It has two runways with asphalt surfaces: 15 / 33 is 6, 885 by 150 feet ( 2, 099 x 46 m ) and 8 / 26 is 5, 802 by 150 feet ( 1, 768 x 46 m ).

*** Haroharo Caldera, size: 16 x 26 km

* Runway 8 / 26: 7, 000 x 150 ft. ( 2, 133 x 46 m ), Surface: Asphalt

File: Tom Thomson, 1917, April in Algonquin Park, 21 x 26, 5 cm, Tom Thomson Memorial Art Gallery. jpg | Tom Thomson's April in Algonquin Park 1917

* Runway 8 / 26: 7, 376 x 150 ft ( 2, 248 x 46 m ), Surface: Concrete