Two ideals A and B in the commutative ring R are called coprime ( or comaximal ) if A + B = R. This generalizes Bézout's identity: with this definition, two principal ideals ( a ) and ( b ) in the ring of integers Z are coprime if and only if a and b are coprime.

Two principal competing etymologies have been proposed for the name " Eskimo ", both from the Innu-aimun ( Montagnais ) language.

Two principal organs establish the policies and govern the work of the Authority: the Assembly, in which all members are represented, and a 36-member Council elected by the Assembly.

Two principal methods are used for this: chromosome walking, which progresses through the entire strand, piece by piece, and shotgun sequencing, which is a faster but more complex process, and uses random fragments.

Two principal varieties are used: the China plant ( C. s. sinensis ), used for most Chinese, Formosan and Japanese teas ( but not Pu-erh ); and the clonal Assam tea plant ( C. s. assamica ), used in most Indian and other teas ( but not Darjeeling ).

Two gyrotropic materials with reversed rotation directions of the two principal polarizations, corresponding to complex-conjugate ε tensors for lossless media, are called optical isomers.

Two principal Austrian armies took the field, adding an additional 300, 000 men to the Coalition armies in Germany.

Two principal types of amphorae existed: the neck amphora, in which the neck and body meet at a sharp angle ; and the one-piece amphora, in which the neck and body form a continuous curve.

On September 2, 1997, the Tribune promoted longtime City Hall reporter John Kass to take Royko's place as the paper's principal Page Two news columnist.

Two principal schools of thought about this move exist.

Two other books about Huntington include History of Huntington County, IN by Frank Sumner Bash in 1914 ( describing its historical progress, its people, and its principal interests ) and Huntington County, IN: Histories and Families by Turner Publishing Company in 1993 as a result of the Huntington County Historical Society officers and board of directors meeting in the summer of 1992 to discuss the family history of Huntington, the glue that has held together the city and county of Huntington in the heartland of the Midwest for more than 175 years.

Two AM and six FM stations are licensed to and / or broadcast from the city, and it is the second principal city of the Joplin-Pittsburg television market.

stated " Two major groups were identified by principal component, phylogenetic, and identity by descent ( IBD ) analysis: Middle Eastern Jews and European / Syrian Jews.

His principal works include, " The Boy " ( 1885 ); " Cain " ( 1886 ), later destroyed ; " Brotherly Love ," sometimes called " Two Friends " ( 1887 ); the allegorical " Two Natures " ( 1894, in the Metropolitan Museum, New York ); " The Hewer " ( 1902, at Cairo, Illinois ); " Great God Pan " Dodge Hall quadrangle, Columbia University campus, New York City ; the " Rose Maiden "; the simple and graceful " Maidenhood ".

Two teams, the Mélans and the Avresses, dress in medieval clothes while standing on stilts and do battle in one of the town's principal squares.

Two principal types of Order in Council exist: Orders in Council whereby the Queen-in-Council exercises the Royal Prerogative, and Orders in Council made in accordance with an Act of Parliament.

Two of COBE's principal investigators, George Smoot and John Mather, received the Nobel Prize in Physics in 2006 for their work on the project.

Two years later Mangas Coloradas became principal chief and war leader and began a series of retaliatory raids against the Mexicans.

Two divisors that differ by a principal divisor are called linearly equivalent.

Two of Connally's principal legal clients were the Texas oil tycoon Sid W. Richardson and Perry Bass, Richardson's nephew and partner, both of Fort Worth.

* Two political " algerianist " parties have their principal support base in Kabylia: the FFS, led by Hocine Aït Ahmed, and the RCD, led by Saïd Sadi.

Two of the university's long-standing requests were met by the state after the turn of the century: it was granted the right to award doctorates in 1901, and in 1902 the election of the principal by the teaching staff was approved.

Two principal Austrian armies were deployed in Bohemia and Northern Italy, adding an additional 300, 000 troops to the Allied armies.

Charles N. Brown, the publisher of Locus, which primarily addresses the science-fiction publishing world, wrote in the July 2006 issue: " Two Charles McCarry hardcover reprints from Overlook ... aren't really SF or fantasy, but they are two of the best spy thrillers ever written and form a secret or alternate history of the 20th century.

Two golf courses have Hartford City addresses, three more are located within ten miles ( 16 km ) from the center of Hartford City, and ten more are within.

Two K-8 schools serve separate areas that have Reserve addresses:

It was also used again as a pun (" abraised and contused ") in the 2006 episode " Bart Has Two Mommies " where Ned Flanders addresses himself as Ned Zeppelin.

Two processes may use two identical virtual addresses for different purposes.

Two additional registers are included for setting any address the CPU wishes to read and the chip alternates between outputting addresses for display generation and the display set for CPU access.

Two of his speeches feature in Teachers of the Faith: Speeches and Lectures by Catholic Bishops, a book of international addresses by members of the clergy spanning 26 years.

Two LPARs may access memory from a common memory chip, provided that the ranges of addresses directly accessible to each do not overlap.

Two addresses delivered during the War of 1812 had national circulation, Oration by Mr. Custis, of Arlington ; with an Account of the Funeral Solemnities in Honor of the Lamented Gen. James M. Lingan ( 1812 ) and The Celebration of the Russian Victories, in Georgetown, District of Columbia ; on the 5th of June, 1813 ( 1813 ).

Two equivalent addresses could be compared as non-equal if one of them had the sign bit turned on even if the remaining bits were identical.

Two organisations were formed from the schism, initially each claiming the same name and therefore known by their postal addresses.

Two other men, aged 46 and 52, who lived in Tottenham in 1985, were arrested at separate north London addresses in May 2010, and released on bail after questioning.

Two men were on duty inside, playing pinochle, relaxed.

Two of the new hands, a Mexican named Jose Amado and a kid known only as Laredo, were picked for the first trick of riding night herd.

Two of our men were killed, a third was wounded.

Two gas lamps were no more than a misleading glow.

Two men he did not recognize were sipping coffee and munching sweet rolls.

Two hundred and nineteen were received from 35 of our 50 United States and 11 came from foreign countries.

Two special issues were published, one for November 1959 on Space Medicine, the other the Tenth Anniversary issue for January 1960.

Two friends were talking.

Two of the fluids showed a high-positive normal pressure when undergoing shear, and two showed small negative pressures which were negligible in comparison with the amount of the positive pressures generated by the other two.

Two types of light source were used, a thousand watt projection lamp and an AH6 high pressure mercury arc.

Two other end-use areas which contributed to expandable styrene's growth during the year were packaging ( molded inserts replacing complicated cardboard units ) and foamed-core building panels.

Two of these were included in Palfrey's lot.

Two bequests were recorded: one of $200 under the will of Mrs. Harriet A. Copp of Los Angeles ; ;

Two millions were added to what had been set aside for it in Mrs. Meeker's lifetime, and the proviso made that as long as Brian Thayer continued to discharge his duties as administrator of the fund to the satisfaction of the board of trustees ( hereinafter appointed by the bank administering the estate ) he was to be retained in his present capacity at a salary commensurate with the increased responsibilities enlargement of the fund would entail.

Two women, who had been chattering like parrots, were struck dumb.

Two tax revision bills were passed.

Two other cases also were under advisement.

-- Two Americans and seven Cubans were executed by firing squads today as Castro military tribunals began decreeing the death penalty for captured invasion forces and suspected collaborators.

Two were in the same band 18 years ago ; ;

Two late Sonatas, Op. 110 and 111, were played with similar insight, the disarming simplicities of the Op. 111 Adagio made plain without ever becoming obvious.

Two other Japanese girls were sitting at the tables, both quite pretty and well groomed.

Two of the seven wonders of the ancient world were located in Anatolia: The Temple of Artemis in Ephesus and the Mausoleum of Halicarnassus.

These were The Bump, starring Aubrey Smith ; Twice Two ; Five Pound Reward ; and Bookworms Some of these films survive in the archives of the British Film Institute.

Two chiefly important monk philosophers were Sengzhao and Daosheng.