Bézout's lemma is a consequence of the Euclidean division defining property, namely that the division by a nonzero integer b has a remainder strictly less than | b |.

The front and back covers of Devo's first release, the 45rpm single ( music ) | single " Mongoloid ( song ) | Mongoloid " b / w " Jocko Homo " ( 1977 ), released on the band's Booji Boy Records

Image: Pythagorean. svg | Pythagoras ' theorem: The sum of the areas of the two squares on the legs ( a and b ) of a right triangle equals the area of the square on the hypotenuse ( c ).

A golden rectangle with longer side < span style =" color: blue ;"> a </ span > and shorter side < span style =" color: red ;"> b </ span >, when placed adjacent to a square with sides of length < span style =" color: blue ;"> a </ span >, will produce a Similarity ( geometry ) | similar golden rectangle with longer side < span style =" color: green ;"> a + b </ span > and shorter side < span style =" color: blue ;"> a </ span >.

How Gerrymandering can influence electoral results on a Voting system # Nonproportional and semiproportional methods | non-proportional system. Example for a state with 3 equally sized districts, 15 voters and 2 parties: Plum ( squares ) and Orange ( circles ). In ( a ), creating 3 mixed-type districts yields a 3 – 0 win to Plum — a disproportional result considering the state-wide 9: 6 Plum majority. In ( b ), Orange wins the urban district while Plum wins the rural districts — the 2-1 result reflects the state-wide vote ratio. In ( c ), gerrymandering techniques ensure a 2-1 win to the state-wide minority Orange party.

More formally, if a, b, c, and d are all integers, then the fraction < sup > a </ sup >⁄< sub > b </ sub > is irreducible if and only if there is no other equal fraction < sup > c </ sup >⁄< sub > d </ sub > such that | c | < | a | or | d | < | b |, where | a | means the absolute value of a.

| url = http :// www. suedkurier. de / region / schwarzwald-baar-heuberg / koenigsfeld / Koenigsfeld-feiert-bdquo-Schweitzer-Erben-ldquo -; art372523, 4916774 | title = Königsfeld feiert? Schweitzer-Erben?

Plan of entire Spruce Tree House from above, cut from 3D scanner | Laser scan data collected by a CyArk / National Park Service partnership

3D scanner | Laser scan section of the four-story Square Tower House, data collected by a CyArk / National Park Service partnership

Image: Laguna Verde Bolivia. jpg | Licancabur, Bolivia / Chile

The Amber Frog Violin Bow ( music ) | bow, made by Keith Peck in 1996 / 97.

| 1. 5 Mbit / s

| AppleTalk / LocalTalk

World War II, German SdKfz 234 | SdKfz 234 / 4.

File: Aston Martin DB2-4 Mark I. jpg | 1950 – 1957 DB2 and later DB2 / 4

File: Aston-Martin DB4. JPG | 1958 – 1963 Aston Martin DB4 / GT

File: Virage Volante. jpg | 1989 – 2000 Virage / V8 / Vantage

File: 2001DB7. jpg | 1993 – 2003 Aston Martin DB7 / Vantage

File: Zagato_Paris. JPG | 2002 – 2003 DB7 Zagato coupé / roadster

File: Amvanquish. jpg | 2001 – 2007 Aston Martin V12 Vanquish / S

File: aston. db9. coupe. 300pix. jpg | 2003 – Aston Martin DB9 coupé / Volante

File: Aston Martin V8 Vantage front 20081129. jpg | 2005 – Aston Martin V8 / V12 Vantage

Aston Martin DBR1 | DBR1 / 2 at Goodwood Festival of Speed 2009

covariance += a * b / n

4 voll., pp. XVII-521, pp. 555, pp. 536, pp. 572 ; 2224 total pages ; 100 b / w photos ; ISBN 978-0-19-511307-5.

S ( a, b )=( nc + me / m + n, nd + mf / m + n )

Changing x to x / b stretches the graph horizontally by a factor of b. ( think of the x as being dilated )

* 1938 – Allama Muhammad Iqbal, Philosopher and Urdu / Persian poet ( b. 1877 )

The symbol for bit, as a unit of information, is either simply " bit " ( recommended by the ISO / IEC standard 80000-13 ( 2008 )) or lowercase " b " ( recommended by the IEEE 1541 Standard ( 2002 )).

In an " extended model " which includes hot dark matter in the form of neutrinos, then if the " physical baryon density " Ω < sub > b </ sub > h < sup > 2 </ sup > is estimated at about 0. 023 ( this is different from the ' baryon density ' Ω < sub > b </ sub > expressed as a fraction of the total matter / energy density, which as noted above is about 0. 046 ), and the corresponding cold dark matter density Ω < sub > c </ sub > h < sup > 2 </ sup > is about 0. 11, the corresponding neutrino density Ω < sub > v </ sub > h < sup > 2 </ sup > is estimated to be less than 0. 0062.

In other words, b is a unit in the ring Z / aZ of integers modulo a.

The general formula is set out in section 38 ( 1 ), known as the " 7 / 50 formula ", requires: ( a ) assent from both the House of Commons and the Senate ; ( b ) the approval of two-thirds of the provincial legislatures ( at least seven provinces ) representing at least 50 % of the population ( effectively, this would include at least Quebec or Ontario, as they are the most populous provinces ).

This may be followed by the first letter or letters of the title in lower-case, and / or sometimes the letters a, b, c indicating other printings of the same title.

# a daughter, perhaps named Świętosława, perhaps identical to the legendary Sigrid the Haughty ( b. 968 / 72-d. ca.

In 1976 Devo released their first single Mongoloid b / w Jocko Homo, the B-side of which came from the soundtrack to The Truth About De-Evolution, on their independent label " Booji Boy ", followed in 1977 by the re-working of the Rolling Stones ' "( I Can't Get No ) Satisfaction ".

* http :// chemistry. about. com / b / a / 184556. htm Observe exothermic reactions in a simple experiment

The property ( EF1 ) can be restated as follows: for any principal ideal I of R with nonzero generator b, all nonzero classes of the quotient ring R / I have a representative r with.

The six women sovereigns reigning after Kōgyoku / Saimei were ( b ) Jitō, ( c ) Gemmei, ( d ) Genshō, ( e ) Kōken / Shōtoku, ( f ) Meishō, and ( g ) Go-Sakuramachi.

The two female monarchs before Jitō were ( a ) Suiko and ( b ) Kōgyoku / Saimei.

The five female monarchs before Kōken / Shōtoku were ( a ) Suiko, ( b ) Kōgyoku / Saimei, ( c ) Jitō, ( d ) Gemmei, and ( e ) Genshō ; and the two women sovereigns reigning after Kōken / Shōtoku were ( f ) Meishō, and ( g ) Go-Sakuramachi.