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Spectrum of a sentence information


In mathematical logic, the spectrum of a sentence is the set of natural numbers occurring as the size of a finite model in which a given sentence is true. By a result in descriptive complexity, a set of natural numbers is a spectrum if and only if it can be recognized in non-deterministic exponential time.

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Spectrum of a sentence

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logic, the spectrum of a sentence is the set of natural numbers occurring as the size of a finite model in which a given sentence is true. By a result in...

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Spectrum of a theory

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In model theory, a branch of mathematical logic, the spectrum of a theory is given by the number of isomorphism classes of models in various cardinalities...

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Spectrum problem

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A spectrum problem arises when considering either of two related concepts in mathematical logic: Spectrum of a theory Spectrum of a sentence This disambiguation...

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Spectrum management

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purpose of spectrum management is to mitigate radio spectrum pollution, and maximize the benefit of usable radio spectrum. The first sentence of the International...

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NEXPTIME

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sets of natural numbers that can be recognized in NEXPTIME are exactly those that form the spectrum of a sentence, the set of sizes of finite models of some...

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Political spectrum

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A political spectrum is a system to characterize and classify different political positions in relation to one another. These positions sit upon one or...

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Atomic sentence

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analytic philosophy, an atomic sentence is a type of declarative sentence which is either true or false (may also be referred to as a proposition, statement or...

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Sunlight

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2012-02-12. See video referenced in the sentence "For more details about the comparison of the black body with the AM0 spectrum, see this video" at Pietro Altermatt...

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Murder of Gordon Church

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murdered in Millard County, Utah by two men. One of his killers was sentenced to death and the other was sentenced to life in prison. In 2020, the case gained...

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Formal grammar

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A sentential form that contains no nonterminal symbols (i.e. is a member of Σ ∗ {\displaystyle \Sigma ^{*}} ) is called a sentence. the language of G...

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Murder of Bianca Devins

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second-degree murder. He subsequently pleaded guilty to the murder and was sentenced to 25 years to life in prison. Police reports stated that Devins and Clark...

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Social Stories

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Social Stories were devised as a tool to help individuals with ASD (autistic spectrum disorder) better understand the nuances of interpersonal communication...

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Murder of Dee Dee Blanchard

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murder and was sentenced to ten years. After a brief trial in November 2018, Godejohn, who had committed the attack on Dee Dee, was convicted of first-degree...

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Murder of Brianna Ghey

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of murder. They were convicted on 20 December 2023 at Manchester Crown Court and were both sentenced on 2 February 2024 to life imprisonment, with a minimum...

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Classic autism

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throughout life. It was last recognized as a diagnosis in the DSM-IV and ICD-10, and has been superseded by autism spectrum disorder in the DSM-5 (2013) and ICD-11...

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Pulok Chatterji

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that Pulok Chatterji, a senior official in the PMO in 2007-08, was fully aware of A. Raja's dubious decision-making in 2G spectrum case. In this note, Chatterji...

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Theory of Colours

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leading to a consensus regarding the relation of wavelength to colours of one particular spectrum. Goethe's theory of the constitution of colours of the spectrum...

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2017 in American television

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for $25.4 million (Steve Ullom, executive vice president of the station, stated that the spectrum sale price totaled $26.7 million); in the FCC filing on...

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Logical connective

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Encyclopedia of Mathematics, EMS Press, 2001 [1994] Lloyd Humberstone (2010), "Sentence Connectives in Formal Logic", Stanford Encyclopedia of Philosophy...

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Zane Floyd

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June 3, 1999. After being convicted of the murders, Floyd was sentenced to death by a Clark County jury. After attending high school, Floyd enlisted...

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Rule of inference

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deduction, that is an activity of passing from sentences to sentences, whereas A → B is simply a formula made with a logical connective, implication...

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Axiom

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geometry). To axiomatize a system of knowledge is to show that its claims can be derived from a small, well-understood set of sentences (the axioms), and there...

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