* 17 Harold Carmichael, WR, 1971 – 1983

Ian Carmichael was married twice: firstly to Jean Pyman ( Pym ) McLean, from 1943 until her death in 1983 ( they had two daughters, Lee and Sally ) and then to the novelist Kate Fenton, from 1992 until his death in 2010.

* Carmichael, Alexander ( 1992 ) Carmina Gadelica: Hymns and Incantations ( with illustrative notes on wards, rites, and customs dying and obsolete / orally collected in the Highlands and Islands of Scotland ) Hudson, NY, Lindisfarne Press, ISBN 0-940262-50-9

Despite Sigmund Freud's discussion of the pleasure principle, Leonard Carmichael notes that " laziness is not a word that appears in the table of contents of most technical books on psychology ...

* Carmichael, Alexander ( 1992 ) Carmina Gadelica: Hymns and Incantations ( with illustrative notes on wards, rites, and customs dying and obsolete / orally collected in the highlands and islands of Scotland by Alexander Carmichael ).

Stokely Carmichael and Charles Hamilton 1967 were black power activists and first used the term ' institutional racism ' to describe the consequences of a societal structure that was stratified into a racial hierarchy that resulted in layers of discrimination and inequality for minority ethnic people in housing, income, employment, education and health ( Garner 2004: 22 ).

Carmichael attended Indiana University and the Indiana University School of Law, where he received his Bachelor's degree in 1925 and a law degree in 1926.

The numbers of primitive groups of small degree were stated by Robert Carmichael in 1937:

By 2001, Carmichael had showed a new commitment to his fitness and preparation.

Fleming decided Bond should look a little like both the American singer Hoagy Carmichael and himself and in Casino Royale, Vesper Lynd remarks, " Bond reminds me rather of Hoagy Carmichael, but there is something cold and ruthless.

Brooke stated " I do not intend to be a national leader of the Negro people ", and " condemned both Stokely Carmichael and Georgia's Lester Maddox " as extremists ; nonetheless, his historic election gave Brooke " a 50-state constituency, a power base that no other Senator can claim.

It has been shown that a composite number n satisfies the formula iff it is both a Carmichael number and a Giuga number, and that if such a number exists, it has at least 13, 800 digits ( Borwein, Borwein, Borwein, Girgensohn 1996 ).

Of the fifty-four passengers and crew, only two survived: Tom Pearce, a ship's apprentice, and Eva Carmichael, an Irishwoman immigrating with her family, both of whom were 18 years of age.

In 1966, Carmichael and Wright were both working as session players for the Nashville West recording studio.

In 2003, Carmichael won both Supercross and National titles again ; winning 7 races indoors where he faced a stiff challenge from Chad Reed.

Carmichael numbers are sometimes also called absolute Fermat pseudoprimes.

The absolute Euler pseudoprimes are a subset of the absolute Fermat pseudoprimes, or Carmichael numbers, and the smallest absolute Euler pseudoprime is 1729

Carmichael speaks about the Deacons when he writes, “ Here is a group which realized that the ‘ law ’ and law enforcement agencies would not protect people, so they had to do it themselves ... The Deacons and all other blacks who resort to self-defense represent a simple answer to a simple question: what man would not defend his family and home from attack ?” The Deacons, according to Carmichael and many others were the protection that the Civil Rights needed on local levels, as well as, the ones who intervened in places that the state and federal government fell short.

Mercer's Whiteman association brought him into contact with Hoagy Carmichael, whose `` Snowball '' Mercer relyriced as `` Lazybones '', in which form it became a hit and marked the real beginning of Mercer's song-writing career.

The Texans made themselves a comforting break on the opening kickoff when Denver's Al Carmichael was jarred loose from the ball when Dave Grayson, the speedy halfback, hit him and Guard Al Reynolds claimed it for Dallas.

Linebarger also employed the literary pseudonyms " Carmichael Smith " ( for his political thriller Atomsk ), " Anthony Bearden " ( for his poetry ) and " Felix C. Forrest " ( for the novels Ria and Carola ).

They are named for Robert Carmichael.

In this sense, Carmichael numbers are similar to prime numbers ; in fact, they are called Fermat pseudoprimes.

Carmichael numbers are important because they pass the Fermat primality test but are not actually prime.

Since Carmichael numbers exist, this primality test cannot be relied upon to prove the primality of a number, although it can still be used to prove a number is composite.

Still, as numbers become larger, Carmichael numbers become very rare.

For example, there are 20, 138, 200 Carmichael numbers between 1 and 10 < sup > 21 </ sup > ( approximately one in 50 billion numbers ).< ref name =" Pinch2007 "> Richard Pinch, " The Carmichael numbers up to 10 < sup > 21 </ sup >", May 2007 .</ ref > This makes tests based on Fermat's Little Theorem slightly risky compared to others such as the Solovay-Strassen primality test.

An alternative and equivalent definition of Carmichael numbers is given by Korselt's criterion.

: Theorem ( A. Korselt 1899 ): A positive composite integer is a Carmichael number if and only if is square-free, and for all prime divisors of, it is true that ( where means that divides ).

It follows from this theorem that all Carmichael numbers are odd, since any even composite number that is square-free ( and hence has only one prime factor of two ) will have at least one odd prime factor, and thus results in an even dividing an odd, a contradiction.

( The oddness of Carmichael numbers also follows from the fact that is a Fermat witness for any even number.

From the criterion it also follows that Carmichael numbers are cyclic .< ref > Proof sketch: If is square-free but not cyclic, for two prime factors and of.

Korselt was the first who observed the basic properties of Carmichael numbers, but he could not find any examples.

That 561 is a Carmichael number can be seen with Korselt's criterion.

J. Chernick proved a theorem in 1939 which can be used to construct a subset of Carmichael numbers.

The number is a Carmichael number if its three factors are all prime.

Paul Erdős heuristically argued there should be infinitely many Carmichael numbers.

In 1994 it was shown by W. R. ( Red ) Alford, Andrew Granville and Carl Pomerance that there really do exist infinitely many Carmichael numbers.

* Athanassakis, Apostolos N., Theogony ; Works and days ; Shield / Hesiod ; introduction, translation, and notes, Baltimore: Johns Hopkins University Press, 1983.

* Athanassakis, Apostolos N., Theogony ; Works and days ; Shield / Hesiod ; introduction, translation, and notes, Baltimore: Johns Hopkins University Press, 1983.

When he could no longer work in the Kremlin or attend the Politburo meetings, from September 1983, he adopted an original way of governing: he would suggest ideas to his assistants and speech writers, who would then prepare analytical " notes " for the Politburo.

* Lecture notes to a short course at Università degli Studi di Siena, April 1983.

20 kwacha notes were introduced in 1983.

5 kroner and 10 kroner notes were also used from 1877, but these were replaced by coins in 1963 and 1983 respectively.

( 1983 ): Tool-using and related behavior in birds: more notes.

Turner notes that in 1983, The Whole Earth Software Catalog was proposed by John Brockman as a magazine which " would do for computing what the original Earth Catalog had done for the counterculture: identify and recommend the best tools as they emerged.

ISFDB notes that it " became non-canonic " in 1983 when Vance " continued ...

The first edition of the Gage Canadian Dictionary, published in 1983, and the second edition of the Random House Unabridged Dictionary, published in 1987, both include usage notes describing the term ' Newfie ' as offensive.

* Zaslaw, Neal ( 1983 ) Introductory notes to a recording of the 31st and 40th Symphonies made by Christopher Hogwood and the Academy of Ancient Music, Oiseau-Lyre 410-197-2.

The first notes issued under its name were dated 1ST JULY 1983.

500 Riyal notes were introduced in 1983.

On August 4, 1982, the Royal Monetary Authority of Bhutan Act was enacted, although the RMA didn't began actual operations until November 1, 1983, and did not issue its own family of notes until 1986.

He also notes that the characteristics are not an all-or-nothing proposition, but rather each of the characteristics may be manifest in some degree, and that modularity itself is also not a dichotomous construct — something may be more or less modular: " One would thus expect — what anyhow seems to be desirable — that the notion of modularity ought to admit of degrees " ( Fodor, 1996 / 1983: 37 ).

On 3 October 1983, 50 cent notes replaced the 500 mil notes, with 20 pound notes added in 1992.

500 dirham notes were introduced in 1983, followed by 200 dirham in 1989.

( 1983 ): Additional notes on birds recorded on 1954 ' Daily Mail ' Himalayan Expedition.

According to the liner notes of a later reissue, six of the tracks were recorded in 1984, four in 1988, and one in 1983 and mixed later.

Edward Spannaus, a defendant in the trials, further notes that there was a memorandum written on January 12, 1983, by former FBI chief William Webster to Oliver " Buck " Revell, head of the Bureau's General Investigative Division.

Three-peso notes were added in 1983.

In 1973, 50 shilling notes were introduced, followed by 500 and 1000 shillings in 1983 and 5000 shillings in 1985.