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Incompleteness Theorems
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 "holes" 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 category, a category ''C'' where every diagram from a small category to ''C'' has a limit; it is ''cocomplete'' if every such functor ha ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 system ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Completeness (knowledge Bases)
The term completeness as applied to knowledge bases refers to two different concepts. Formal logic In formal logic, a knowledge base KB is complete ''if'' there is no formula α such that KB ⊠α and KB ⊠¬α. Example of knowledge base with incomplete knowledge: KB := Then we have KB ⊠A and KB ⊠¬A. In some cases, a consistent knowledge base can be made complete with the closed world assumption—that is, adding all not-entailed literals as negations to the knowledge base. In the above example though, this would not work because it would make the knowledge base inconsistent: KB' = In the case where KB := , KB ⊠P(b) and KB ⊠¬P(b), so, with the closed world assumption, KB' = , where KB' ⊨ ¬P(b). Data management In data management, completeness is metaknowledge that can be asserted for parts of the KB via completeness assertions. As example, a knowledge base may contain complete information for predicates R and S, while nothing is asserted for predica ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Sexual Reproduction In Plants
Plant reproduction is the production of new offspring in plants, which can be accomplished by sexual or asexual reproduction. Sexual reproduction produces offspring by the fusion of gametes, resulting in offspring genetically different from either parent. Asexual reproduction produces new individuals without the fusion of gametes, resulting in clonal plants that are genetically identical to the parent plant and each other, unless mutations occur. Asexual reproduction Asexual reproduction does not involve the production and fusion of male and female gametes. Asexual reproduction may occur through budding, fragmentation, spore formation, regeneration and vegetative propagation. Asexual reproduction is a type of reproduction where the offspring comes from one parent only, thus inheriting the characteristics of the parent. Asexual reproduction in plants occurs in two fundamental forms, vegetative reproduction and agamospermy. Vegetative reproduction involves a vegetative piece o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Complete Set Of Commuting Operators
In quantum mechanics, a complete set of commuting observables (CSCO) is a set of commuting operators whose common eigenvectors can be used as a basis to express any quantum state. In the case of operators with discrete spectra, a CSCO is a set of commuting observables whose simultaneous eigenspaces span the Hilbert space, so that the eigenvectors are uniquely specified by the corresponding sets of eigenvalues. Since each pair of observables in the set commutes, the observables are all compatible so that the measurement of one observable has no effect on the result of measuring another observable in the set. It is therefore ''not'' necessary to specify the order in which the different observables are measured. Measurement of the complete set of observables constitutes a complete measurement, in the sense that it projects the quantum state of the system onto a unique and known vector in the basis defined by the set of operators. That is, to prepare the completely specified state, we h ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
My Completeness
"My Completeness" was the second single released from Thirsty Merc's debut album ''Thirsty Merc''. Reaching number two on the Australian Airplay Chart, the single was the most successful single for the band at the time of its release. It performed considerably better than predecessor, ''Emancipate Myself "Emancipate Myself" is a song by Australian pop rock band Thirsty Merc. It was released as the second track from the band’s debut EP, '' First Work'', and as the band's first official commercial single from their debut self-titled album, ''Thi ...'', peaking at #27 on the Australian Singles Chart, while highlighting the musical depth and sincerity of the band that secured them a reputation as one of the world's premier alternative acts. Music video The music video features all members of the band in an acoustic setting which is later met by various females surrounding the band filming them with handheld cameras. Additional footage is also taken by the actual handheld camer ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 BTOB ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Girls' Generation (2007 Album)
''Girls' Generation'' () is the self-titled debut album by South Korean girl-group Girls' Generation. Released by S.M. Entertainment on November 1, 2007, the album spawned two singles; the eponymous title track of the same name as the lead single in November 2007, and " Kissing You" in January 2008. A reissue titled ''Baby Baby'', with its single of the same name, was subsequently released on March 13, 2008. The tour ''Girls' Generation Asia Tour Into the New World'' was used to promote the album, along with music shows promotion before the tour, which started on December 19, 2009, in Olympic Fencing Gymnasium, Seoul, South Korea, ended in Taipei Arena, Taipei, Taiwan on October 17, 2010. Singles " Into the New World" was initially released as Girls' Generation's debut single album, on August 2, 2007. The group started promoting the song on the SBS's music show ''The Music Trend'' on August 5, and subsequently had it reached number one on Mnet's ''M! Countdown'' on October 11. I ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 - lead vocals * Nick De Partee - lead guitar backing vocals * James Mead - rhythm guitar backing vocals * Dave Luetkenhoelter - bass guitar * Jeffrey Gilbert - Drums Additional musicians * Pete Kipley – string arrangements and conductor * Nick Ingman â ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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) – ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Complete (The Smiths Album)
''Complete'' is a box set compilation by English rock band the Smiths, released by Rhino Records in the UK on 26 September 2011. Standard versions contain the band's four studio albums (''The Smiths'', ''Meat Is Murder'', ''The Queen Is Dead'' and ''Strangeways, Here We Come''), a live album (''Rank'') and three compilations (''Hatful of Hollow'', ''The World Won't Listen'' and ''Louder Than Bombs''), on 8 CDs or 8 LPs. A deluxe version contains the albums on both CD and LP formats, as well as 25 7-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 the restored ''The World Won't Listen'' artwork. The project was managed by Gary Lancaster, who also worked on '' Total: From Joy Division to New Order'' and se ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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 Mirabilis") *Georg ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Complete (Lila McCann Album)
''Complete'' is the third album by the country music artist Lila McCann. Her final studio album to be released, it produced only one single on the ''Billboard'' country music charts in "Come a Little Closer". After that single failed to make Top 40 on the country charts, McCann left Warner Bros. Records' roster. The track "Mighty Mighty Love" was later recorded by Ty Herndon on his 2006 album '' Right About Now'', from which it was released as a single. "Because of You" was later recorded by Celine Dion for limited editions of her 2002 album, ''A New Day Has Come''. It is McCann's only album to not contain any writing credits from McCann herself. Track listing #"Where It Used to Break" ( Dave Berg, Rivers Rutherford) - 2:56 #"Come a Little Closer" (Phil Douglas, Tony Marty, Jennifer Sherrill) - 3:36 #"Complete" (Pebe Sebert, Anne Graham) - 3:45 #"Mighty Mighty Love" (Dennis Matkosky, Tim Nichols, Darrell Brown) - 3:51 #"Whisper the Words" (David Malloy, Bruce Roberts, Krystle Wa ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
