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Complete Residue System Modulo M
Complete may refer to: Logic * Completeness (logic) * Completeness of a theory, the property of a theory that every formula in the theory's language or its negation is provable Mathematics * The completeness of the real numbers, which implies that there are no "gaps" in the real numbers * Complete metric space, a metric space in which every Cauchy sequence converges * Complete uniform space, a uniform space where every Cauchy net in converges (or equivalently every Cauchy filter converges) * Complete measure, a measure space where every subset of every null set is measurable * Completion (algebra), at an ideal * Completeness (cryptography) * Completeness (statistics), a statistic that does not allow an unbiased estimator of zero * Complete graph, an undirected graph in which every pair of vertices has exactly one edge connecting them * Complete tree (abstract data type), a tree with every level filled, except possibly the last * Complete category, a category ''C'' where every ...
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Completeness (logic)
In mathematical logic and metalogic, a formal system is called complete with respect to a particular property if every formula having the property can be derived using that system, i.e. is one of its theorems; otherwise the system is said to be incomplete. The term "complete" is also used without qualification, with differing meanings depending on the context, mostly referring to the property of semantical validity. Intuitively, a system is called complete in this particular sense, if it can derive every formula that is true. Other properties related to completeness The property converse to completeness is called soundness: a system is sound with respect to a property (mostly semantical validity) if each of its theorems has that property. Forms of completeness Expressive completeness A formal language is ''expressively complete'' if it can express the subject matter for which it is intended. Functional completeness A set of logical connectives associated with a formal ...
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Turing Complete Set
In computability theory, a Turing reduction from a decision problem A to a decision problem B is an oracle machine that decides problem A given an oracle for B (Rogers 1967, Soare 1987) in finitely many steps. It can be understood as an algorithm that could be used to solve A if it had access to a subroutine for solving B. The concept can be analogously applied to function problems. If a Turing reduction from A to B exists, then every algorithm for B can be used to produce an algorithm for A, by inserting the algorithm for B at each place where the oracle machine computing A queries the oracle for B. However, because the oracle machine may query the oracle a large number of times, the resulting algorithm may require more time asymptotically than either the algorithm for B or the oracle machine computing A. A Turing reduction in which the oracle machine runs in polynomial time is known as a Cook reduction. The first formal definition of relative computability, then called relative ...
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Completeness (Ave Mujica Album)
Completeness is the debut studio album by Japanese metal band Ave Mujica. It was released on April 23, 2025, by Bushiroad Music. The album features seven tracks with a total length of 28 minutes, including " Killkiss" and "Georgette Me, Georgette You" which were used as opening and ending theme songs for the first season of '' BanG Dream! Ave Mujica'' anime series. The remaining five songs of the album were also used as insert songs in the same series. The album managed to rank in the official Japanese Album Charts by Oricon as well in the '' Hot Album'' Charts published by ''Billboard Japan''. Background and release Bushiroad Music announced the album on February 14, 2025 with the estimated release date on April 23. The album was recorded at Mech Studio, Sound City in Tokyo while mixing took place at Fennel Studio in Shibuya, Tokyo.Ave Mujica: ''Completeness'', Bushiroad Music, JAN/ISBN: 4562494358860, Catalog Number: BRMM-10917, 2025 (Japanese) The song's lyrics were ent ...
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Mila J Discography
The discography of Mila J, an American R&B singer, consists of two studio albums, five mixtapes, sixteen extended play An extended play (EP) is a Sound recording and reproduction, musical recording that contains more tracks than a Single (music), single but fewer than an album. Contemporary EPs generally contain up to eight tracks and have a playing time of 1 ...s (EP), sixteen singles and eighteen music videos. Albums Studio albums Miscellaneous Mixtapes Extended plays Singles As lead artist As featured artist Guest appearances Videography Music videos Notes References {{Mila J Rhythm and blues discographies Hip-hop discographies Discographies of American artists ...
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To Know That You're Alive
''To Know That You're Alive'' is the fifth full-length studio album by the Christian rock band Kutless. It was released on June 24, 2008. It is their first album to feature guitarist Nick DePartee, who took over the position after long-time member Ryan Shrout left the band in May 2007. The album debuted at No. 64 on the ''Billboard'' 200 album chart and stayed on the chart for six weeks. The album reached The ''Billboard'' Christian Albums chart peaking at No. 1, where it stayed for 27 weeks. The album's first rock single, "The Feeling", hit No. 11 on ChristianRock.net in its first week. The song was released as downloadable content for the ''Rock Band'' series. Track listing Personnel Kutless * Jon Micah Sumrall – vocals * Nick De Partee – lead guitars, backing vocals * James Mead – rhythm guitars, backing vocals * Dave Luetkenhoelter – bass guitar * Jeffrey Gilbert – drums Additional musicians * Pete Kipley – string arrangements and conductor * Nick Ing ...
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Girls' Generation (2007 Album)
''Girls' Generation'' () is the debut studio album by South Korean girl group Girls' Generation, released by SM Entertainment on November 1, 2007. Recorded in Korean with minor phrases in English, ''Girls' Generation'' is a pop album with bubblegum influences. It spawned three singles: " Into the New World" in August 2007 as their debut single, the title track released simultaneously with the album, and " Kissing You" in January 2008. Following the album's release, ''Girls' Generation'' was ranked as the second best-selling album of November 2007, selling just over 49,400 copies. It was the 12th best-selling album of the year overall in South Korea, with sales of 56,800 copies; the CD single of "Into the New World" additionally sold over 22,800 copies within the year. A reissue titled ''Baby Baby'', with its single of the same name, was subsequently released on March 13, 2008. Singles " Into the New World" was initially released as Girls' Generation's debut single album, on ...
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Complete (Jaimeson Song)
"Complete" is a song by British electronic music producer Jaimeson. It was released as a single on 11 August 2003 in the United Kingdom. The single debuted at a peak position of number four on the UK Singles Chart and reached number 27 in the Netherlands. Track listings UK CD and 12-inch single # "Complete" (radio edit) – 3:42 # "Complete" (4x4 remix) – 5:42 # "Complete" (Danny Fresh full 12-inch mix) – 5:58 European CD single # "Complete" (Phase 2 Mix) – 3:43 # "Complete" (radio edit) – 3:42 Charts Weekly charts Year-end charts References 2003 songs 2003 singles Jaimeson songs UK Independent Singles Chart number-one singles V2 Records singles Drum and bass songs {{2000s-UK-single-stub ...
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Complete (The Veronicas Album)
''Complete'' is a compilation album by Australian band The Veronicas which was released in Japan on 18 March 2009 by Pony Canyon, and Latin America on 11 August 2009. Information The compilation album is a two-disc album that contains all the songs from their debut album '' The Secret Life of...'' and '' Hook Me Up'' and also includes 3 bonus tracks. Track listing This is the track listing for the 2 disc album: Disc one: ''The Secret Life of...'' #" 4ever" (Lukasz "Dr. Luke" Gottwald, Max Martin) – 3:30 #" Everything I'm Not" (Gottwald, Martin, Jess Origliasso, Lisa Origliasso, Rami) – 3:24 #" When It All Falls Apart" (Josh Alexander, J. Origliasso, L. Origliasso, Billy Steinberg) – 3:15 #"Revolution" ( Chantal Kreviazuk, Raine Maida) – 3:07 #"Secret" (Toby Gad, J. Origliasso, L. Origliasso) – 3:34 #"Mouth Shut" (Toby Gad, J. Origliasso, L. Origliasso) – 3:39 #" Leave Me Alone" (Alexander, J. Origliasso, L. Origliasso, Steinberg)  ...
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Complete (The Smiths Album)
''Complete'' is a box set compilation by the English rock band the Smiths, released by Rhino Records on 26 September 2011. The standard CD and LP versions contain the band's four studio albums ''The Smiths'' (with " This Charming Man" added as per the original US release), '' Meat Is Murder'', '' The Queen Is Dead'' and '' Strangeways, Here We Come'', their only live album '' Rank'' and the three compilation albums released while the band were still active–'' Hatful of Hollow'', '' The World Won't Listen'' and '' Louder Than Bombs''–on eight CDs or eight LPs. A deluxe version contains those eight albums on both CD and LP formats, as well as 25 seven-inch vinyl singles and a DVD. Content The box's liner notes state that "each album has been taken back to original tape sources and remastered by master-engineer Frank Arkwright, assisted by Johnny Marr at the Metropolis Studios in London". The discs in the CD version are presented in miniature vinyl replica sleeves, including th ...
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Complete (News From Babel Album)
''Complete'' is a three- CD box set by the English avant-rock band News from Babel. It contains remastered and repackaged releases of the two News from Babel albums, '' Work Resumed on the Tower'' (1984) and '' Letters Home'' (1986), plus an illustrated CD of their 7" single, "Contraries" (1984). The first album comprises the two song-suites ''Sirens and Silences'' and ''Work Resumed on the Tower'', while the second album contains the ''Letters Home'' song-suite. The box set also contains a book of song texts and artwork. Disc 1: Work Resumed on the Tower Contains all the tracks from the News from Babel LP, '' Work Resumed on the Tower'' (1984). Track list Personnel * Lindsay Cooper – bassoon, sopranino and alto saxophone, piano, other keyboards * Chris Cutler – drums, electrics, percussion * Zeena Parkins – harp, prepared and electric harps, accordion * Dagmar Krause – singing Guests * Phil Minton – trumpet ("Victory", "Anno Mirabilis"), singing ("Anno Mirabili ...
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Complete (Lila McCann Album)
''Complete'' is the third studio album by American country music artist Lila McCann, released on June 26, 2001 via Warner Bros. Nashville as her sole album with the label following her departure from Asylum Records. The album was released two years following her previous record ''Something in the Air'' (1999) in which during that time she graduated high school and began working with new producer David Malloy. ''Complete'' is also McCann's final studio album with a major record label and is her only album to not contain any writing credits from her. Upon release, ''Complete'' received mixed reviews, with the content of the album either being received positively or negatively. Two singles were released from the album, namely "Come a Little Closer" and "Because of You". The former failed to reach the top-40 of the US country airplay chart while the latter completely failed to enter the chart at all. The album would peak at number 18 on the US Top Country Albums chart. Following ...
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Complete (BtoB Album)
''Complete'' is the first full-length studio album by South Korean boy group, BTOB. It was released on June 29, 2015. The album contains 13 tracks including a previously released bonus track "Shake It" from their fifth mini-album, '' Move'', and an acoustic version of their debut track "Insane". The group promoted with the title track "It's Okay". Background and release On June 4, 2015, Cube Entertainment announced that BTOB will be releasing their first studio album on June 29, 2015. This marks the start of BTOB's 2015 full-scale comeback activities. Ahead of comeback, BTOB notified the 180 degree different transformation of their style compared to previous promotions, with their first ever R&B ballad title-track "It’s Okay". "It's Okay" is expected to be reversal with a different level of BTOB's powerful vocal as weapon. They also stated that this transformation would show a more 'music influenced' side. "It's Okay" topped multiple music charts after its release, making it B ...
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