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# It is necessary that 0 ≠ 1, 0 being the additive identity element and 1 being a multiplicative identity element, but this is a nonidentity ;

# Use the extended Euclidean algorithm to compute k < sup >− 1 </ sup >, the modular multiplicative inverse of k mod 2 < sup > w </ sup >, where w is the number of bits in a word.

# ( is a weak inverse for the multiplicative semigroup );

# Ensure divides the order of by checking the existence of the following modular multiplicative inverse:,

# Non-commutative logic I: the multiplicative fragment by V. Michele Abrusci and Paul Ruet, Annals of Pure and Applied Logic 101 ( 1 ), 2000.

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# Store the multiplicative inverse of the input number in two 8-bit unsigned temporary variables: s and x.

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# Alice and Bob both construct g = hash ( π )< sup > 2 </ sup > mod p. ( Squaring makes g a generator of the prime order subgroup of the multiplicative group of integers modulo p .)

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# Motives and the motivic Galois group ( and Grothendieck categories )

# The eimeriorins are a diverse group that includes one host species of invertebrates, two-host species of invertebrates, one-host species of vertebrates and two-host species of vertebrates.

# The cyclic group, or

The group achieved great success globally and scored a chain of # 1 hits.

In 1990, Andersson scored a Swedish # 1 hit with " Lassie ", sung by female cabaret group Ainbusk, for whom he also wrote the Svensktoppen hits " Älska Mig " and " Drömmarnas Golv ".

* Honey Cone, an American R & B and soul singing girl group who was most famous for the # 1 hit " Want Ads "

# Communities of culture: range from the local clique, sub-culture, ethnic group, religious, multicultural or pluralistic civilisation, or the global community cultures of today.

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Progressive rock group Pink Floyd, when creating their rock opera The Wall, used disco-style components in their song, " Another Brick in the Wall, Part 2 " ( 1979 )— which became the group's only # 1 hit single ( in both the US and UK ).

* Comedy Band The Barron Knights ' 1978 UK # 3 hit single A Taste Of Aggro, a medley of parodies, included a version of The Smurf Song featuring, in place of the Smurfs, a group of bank robbers from Catford who have escaped from Dartmoor Prison.

# Cumulated dienes have the double bonds sharing a common atom as in a group of compounds called allenes.

# A government controlled by one person, or a small group of people.

# REDIRECT Elementary group theory

The song " Boadicea ", also from this album, would later be sampled by The Fugees on their single " Ready or Not " ( 1996 ), causing a brief stir because the group neither sought permission from Enya nor gave her credit initially, and by Mario Winans, who did give her credit ( the Winans track, " I Don't Wanna Know " which features a rap by P. Diddy and is officially credited to all three artists, became Enya's highest charting single in the US, when it peaked at # 2 on the Hot 100 in 2004 ).

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The primary benefit promised by ECC is a smaller key size, reducing storage and transmission requirements — i. e., that an elliptic curve group could provide the same level of security afforded by an RSA-based system with a large modulus and correspondingly larger key — e. g., a 256bit ECC public key should provide comparable security to a 3072bit RSA public key ( see # Key sizes ).

# Kerguelen (), a group of volcanic islands in the southern Indian Ocean, southeast of Africa, approximately equidistant between Africa, Antarctica and Australia ;

# St. Paul and Amsterdam islands (), a group to the north of Kerguelen ;

# Crozet Islands (), a group in the southern Indian Ocean, south of Madagascar ;

# the Scattered Islands (), a dispersed group of islands around the coast of Madagascar.

# soleá, within the cantiñas group of palos which includes the alegrías, cantiñas, mirabras, romera, caracoles and soleá por bulería ( also " bulería por soleá "): 1 2 3 4 5 6 7 8 9 10 11 12.

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# the group identifier, ( language-sharing country group )