• Thumbnail for Giuseppe Peano
    Giuseppe Peano (/piˈɑːnoʊ/; Italian: [dʒuˈzɛppe peˈaːno]; 27 August 1858 – 20 April 1932) was an Italian mathematician and glottologist. The author of...
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  • In mathematical logic, the Peano axioms (/piˈɑːnoʊ/, [peˈaːno]), also known as the Dedekind–Peano axioms or the Peano postulates, are axioms for the natural...
    48 KB (6,428 words) - 14:06, 15 August 2024
  • Thumbnail for Peano curve
    In geometry, the Peano curve is the first example of a space-filling curve to be discovered, by Giuseppe Peano in 1890. Peano's curve is a surjective,...
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  • Because Giuseppe Peano (1858–1932) was the first to discover one, space-filling curves in the 2-dimensional plane are sometimes called Peano curves, but that...
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  • Thumbnail for Natural number
    named for Giuseppe Peano, consists of an autonomous axiomatic theory called Peano arithmetic, based on few axioms called Peano axioms. The second definition...
    53 KB (5,922 words) - 19:52, 1 September 2024
  • Thumbnail for Latino sine flexione
    inflections"), Interlingua de Academia pro Interlingua (IL de ApI) or Peano's Interlingua (abbreviated as IL) is an international auxiliary language...
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  • Look up peano in Wiktionary, the free dictionary. Peano is an Italian surname and is mostly used in the Piedmont region. Notable people with the surname...
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  • ordinary differential equations, the Peano existence theorem, Peano theorem or Cauchy–Peano theorem, named after Giuseppe Peano and Augustin-Louis Cauchy, is...
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  • Thumbnail for Peano surface
    In mathematics, the Peano surface is the graph of the two-variable function f ( x , y ) = ( 2 x 2 − y ) ( y − x 2 ) . {\displaystyle f(x,y)=(2x^{2}-y)(y-x^{2})...
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  • Marcos Hernán Peano (born 15 October 1998) is an Argentine professional footballer who plays as a goalkeeper for Instituto. Peano played for local club...
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  • 1
    the original formulation of the Peano axioms, 1 serves as the starting point in the sequence of natural numbers. Peano later revised his axioms to state...
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  • Thumbnail for Gosper curve
    The Gosper curve, named after Bill Gosper, also known as the Peano-Gosper Curve and the flowsnake (a spoonerism of snowflake), is a space-filling curve...
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  • in Peano's arithmetic. Moreover, this statement is true in the usual model. In addition, no effectively axiomatized, consistent extension of Peano arithmetic...
    92 KB (12,132 words) - 22:29, 5 July 2024
  • In mathematical logic, Peano–Russell notation was Bertrand Russell's application of Giuseppe Peano's logical notation to the logical notions of Frege...
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  • Thumbnail for Camillo Peano
    Camillo Peano (1863–1930) was an Italian jurist and politician. He held several cabinet posts, including minister of public works and minister of treasury...
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  • In numerical analysis, the Peano kernel theorem is a general result on error bounds for a wide class of numerical approximations (such as numerical quadratures)...
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  • general transition matrix is given by a product integral, referred to as the Peano–Baker series Φ ( t , τ ) = I + ∫ τ t A ( σ 1 ) d σ 1 + ∫ τ t A ( σ 1 ) ∫...
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  • consistent extension of even Peano arithmetic based on a computably enumerable set of axioms. A theory such as Peano arithmetic cannot even prove its...
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  • In mathematics, the Peano–Jordan measure (also known as the Jordan content) is an extension of the notion of size (length, area, volume) to shapes more...
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    Montessori created the philosophy of education that bears her name. Giuseppe Peano was a founder of analytic philosophy and the contemporary philosophy of...
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  • Thumbnail for Arithmetices principia, nova methodo exposita
    exposita (The principles of arithmetic, presented by a new method) by Giuseppe Peano is widely considered to be a seminal document in mathematical logic and...
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  • Thumbnail for Recursion
    previous two properties. In mathematical logic, the Peano axioms (or Peano postulates or Dedekind–Peano axioms), are axioms for the natural numbers presented...
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  • theory of the natural numbers, which is only partially axiomatized by the Peano axioms (described below). In practice, not every proof is traced back to...
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  • mathematics into axioms, and is studied in the foundations of mathematics. Peano arithmetic and Zermelo–Fraenkel set theory are axiomatizations of number...
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  • {1}{2}}+i{\frac {\sqrt {3}}{6}},} while the Peano curve corresponds to: a Peano = ( 1 + i ) 2 . {\displaystyle a_{\text{Peano}}={\frac {(1+i)}{2}}.} The de Rham...
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  • Thumbnail for Exclusive or
    2000. Peano, G. (1894). Notations de logique mathématique. Introduction au formulaire de mathématique. Turin: Fratelli Boccna. Reprinted in Peano, G. (1958)...
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  • Paragraph (redirect from Peano paragraphing)
    on. Whittaker and Watson attribute this system of numbering to Giuseppe Peano on their "Contents" page, although this attribution does not seem to be...
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  • terminates at 0. Laurence Kirby and Jeff Paris showed that it is unprovable in Peano arithmetic (but it can be proven in stronger systems, such as second-order...
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  • ∈ {\displaystyle \in } , first used in set theory and logic by Giuseppe Peano and now used in mathematics in general for set membership ("belongs to")...
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  • Thumbnail for Mathematical induction
    induction axiom, it satisfies all Peano axioms, where Peano's constant 0 is interpreted as the pair (0, 0), and Peano's successor function is defined on...
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