See piecewise in All languages combined, or Wiktionary
{ "derived": [ { "_dis1": "0 0", "word": "piecewise linear" }, { "_dis1": "0 0", "word": "piecewiseness" } ], "etymology_templates": [ { "args": { "1": "en", "2": "piece", "3": "-wise" }, "expansion": "piece + -wise", "name": "af" } ], "etymology_text": "From piece + -wise.", "head_templates": [ { "args": { "1": "-" }, "expansion": "piecewise (not comparable)", "name": "en-adv" } ], "lang": "English", "lang_code": "en", "pos": "adv", "senses": [ { "categories": [ { "_dis": "36 20 30 13", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "29 23 27 21", "kind": "other", "name": "English positive polarity items", "parents": [ "Positive polarity items", "Terms by semantic function" ], "source": "w+disamb" }, { "_dis": "21 18 44 17", "kind": "other", "name": "English terms suffixed with -wise", "parents": [], "source": "w+disamb" }, { "_dis": "33 20 27 20", "kind": "other", "name": "Entries with translation boxes", "parents": [], "source": "w+disamb" }, { "_dis": "25 20 38 17", "kind": "other", "name": "Terms with Finnish translations", "parents": [], "source": "w+disamb" }, { "_dis": "28 18 37 17", "kind": "other", "name": "Terms with French translations", "parents": [], "source": "w+disamb" }, { "_dis": "25 20 38 17", "kind": "other", "name": "Terms with Icelandic translations", "parents": [], "source": "w+disamb" }, { "_dis": "28 17 39 16", "kind": "other", "name": "Terms with Japanese translations", "parents": [], "source": "w+disamb" }, { "_dis": "25 20 38 17", "kind": "other", "name": "Terms with Swedish translations", "parents": [], "source": "w+disamb" } ], "examples": [ { "text": "Near-synonym: piecemeal" }, { "ref": "2006 August 13, “LETTERS; Practical Method for Mexican Vote Recount”, in Los Angeles Times:", "text": "One could even do the recount piecewise, starting with the most questionable regions.", "type": "quote" } ], "glosses": [ "In terms or by means of pieces; a piece at a time." ], "id": "en-piecewise-en-adv-R8pilOL6", "links": [ [ "piece", "piece" ], [ "at a time", "at a time" ] ], "tags": [ "not-comparable" ], "translations": [ { "_dis1": "99 1", "code": "fi", "lang": "Finnish", "sense": "piece at a time", "word": "paloittain" }, { "_dis1": "99 1", "code": "sv", "lang": "Swedish", "sense": "piece at a time", "word": "stegvis" }, { "_dis1": "99 1", "code": "sv", "lang": "Swedish", "sense": "piece at a time", "word": "steg för steg" }, { "_dis1": "99 1", "code": "sv", "lang": "Swedish", "sense": "piece at a time", "word": "etappvis" } ] }, { "categories": [ { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "_dis": "36 20 30 13", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "29 23 27 21", "kind": "other", "name": "English positive polarity items", "parents": [ "Positive polarity items", "Terms by semantic function" ], "source": "w+disamb" }, { "_dis": "33 20 27 20", "kind": "other", "name": "Entries with translation boxes", "parents": [], "source": "w+disamb" } ], "examples": [ { "text": "Coordinate term: systemically" }, { "text": "Coordinate term: locally" }, { "ref": "1994 July 24, Hugues Hoppe, Tony DeRose, Tom Duchamp, Mark Halstead, Hubert Jin, John McDonald, Jean Schweitzer, Werner Stuetzle, “Piecewise smooth surface reconstruction”, in Proceedings of the 21st annual conference on Computer graphics and interactive techniques (SIGGRAPH '94), New York, NY, USA: Association for Computing Machinery, →DOI, →ISBN, pages 295–302:", "text": "automatic reconstruction of accurate, concise, piecewise smooth surface models from scattered range data", "type": "quote" }, { "ref": "2012, Stefan Scholtes, Introduction to Piecewise Differentiable Equations (SpringerBriefs in Optimization), New York: Springer, →ISBN:", "text": "theory of piecewise differentiable functions and, specifically, piecewise differentiable equations", "type": "quote" }, { "ref": "2013 March 9, Domine Leenaerts, Wim M. G. van Bokhoven, Piecewise Linear Modeling and Analysis, Springer Science & Business Media, →ISBN:", "text": "piecewise linear model which can serve as the base of any other", "type": "quote" } ], "glosses": [ "Throughout separate parts, but not necessarily throughout the whole." ], "id": "en-piecewise-en-adv-Tq9S0B-a", "links": [ [ "mathematics", "mathematics" ] ], "raw_glosses": [ "(especially mathematics) Throughout separate parts, but not necessarily throughout the whole." ], "tags": [ "especially", "not-comparable" ], "topics": [ "mathematics", "sciences" ], "translations": [ { "_dis1": "1 99", "code": "fi", "lang": "Finnish", "sense": "mathematics: throughout separate parts but not necessarily throughout the whole", "word": "paloittain" }, { "_dis1": "1 99", "code": "fr", "lang": "French", "sense": "mathematics: throughout separate parts but not necessarily throughout the whole", "word": "par morceaux" }, { "_dis1": "1 99", "code": "is", "lang": "Icelandic", "sense": "mathematics: throughout separate parts but not necessarily throughout the whole", "word": "á köflum" }, { "_dis1": "1 99", "alt": "くぶんてきに", "code": "ja", "lang": "Japanese", "roman": "kubunteki-ni", "sense": "mathematics: throughout separate parts but not necessarily throughout the whole", "word": "区分的に" } ] } ], "word": "piecewise" } { "etymology_templates": [ { "args": { "1": "en", "2": "piece", "3": "-wise" }, "expansion": "piece + -wise", "name": "af" } ], "etymology_text": "From piece + -wise.", "forms": [ { "form": "more piecewise", "tags": [ "comparative" ] }, { "form": "most piecewise", "tags": [ "superlative" ] } ], "head_templates": [ { "args": {}, "expansion": "piecewise (comparative more piecewise, superlative most piecewise)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "senses": [ { "categories": [ { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "_dis": "36 20 30 13", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "29 23 27 21", "kind": "other", "name": "English positive polarity items", "parents": [ "Positive polarity items", "Terms by semantic function" ], "source": "w+disamb" }, { "_dis": "33 20 27 20", "kind": "other", "name": "Entries with translation boxes", "parents": [], "source": "w+disamb" }, { "_dis": "41 24 16 19", "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w+disamb" }, { "_dis": "48 16 22 15", "kind": "other", "name": "Pages with entries", "parents": [], "source": "w+disamb" } ], "examples": [ { "ref": "2018 April 1, Ivan Matić, Radoš Radoičić, Dan Stefanica, “A sharp Pólya-based approximation to the normal cumulative distribution function”, in Applied Mathematics and Computation, volume 322, →DOI, →ISSN, pages 111–122:", "text": "Our formula is not defined as a piecewise function, but rather as a single closed-form expression", "type": "quote" }, { "ref": "2019 September 1, Deepak Kumar, Yves Lucet, “Computation of the Epsilon-Subdifferential of Convex Piecewise Linear-Quadratic Functions in Optimal Worst-Case Time”, in Set-Valued and Variational Analysis, volume 27, number 3, →DOI, →ISSN, pages 623–641:", "text": "is a piecewise function but not a PLQ function", "type": "quote" }, { "ref": "2022, Ethan T. Wang, “Efficient Quantum State Preparation for the Cauchy Distribution Based on Piecewise Arithmetic”, in IEEE Transactions on Quantum Engineering, volume 3, →DOI, →ISSN, pages 1–9:", "text": "a piecewise function that consists of a single quadratic term and a constant term", "type": "quote" } ], "glosses": [ "Defined by subfunctions and subdomains" ], "id": "en-piecewise-en-adj-s0Pcmdvv", "links": [ [ "mathematics", "mathematics" ] ], "raw_glosses": [ "(mathematics) Defined by subfunctions and subdomains" ], "synonyms": [ { "word": "piecewise-defined" } ], "topics": [ "mathematics", "sciences" ] }, { "alt_of": [ { "word": "piecewise linear" } ], "categories": [ { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "_dis": "36 20 30 13", "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w+disamb" }, { "_dis": "29 23 27 21", "kind": "other", "name": "English positive polarity items", "parents": [ "Positive polarity items", "Terms by semantic function" ], "source": "w+disamb" }, { "_dis": "33 20 27 20", "kind": "other", "name": "Entries with translation boxes", "parents": [], "source": "w+disamb" } ], "examples": [ { "ref": "1970 September 14, Victor E. McZgee, Willard T. Carleton, “Piecewise Regression”, in Journal of the American Statistical Association, volume 65, number 331, →DOI, →ISSN, pages 1109–1124:", "text": "In piecewise regression we replace the concept", "type": "quote" }, { "ref": "2000 July 14, J. Pittman, C.A. Murthy, “Fitting optimal piecewise linear functions using genetic algorithms”, in IEEE Transactions on Pattern Analysis and Machine Intelligence, volume 22, number 7, →DOI, pages 701–718:", "text": "we can get arbitrarily close to any piecewise function with knot locations satisfying", "type": "quote" }, { "ref": "2016 November 14, Daniel Berjon, Guillermo Gallego, Carlos Cuevas, Francisco Moran, Narciso Garcia, “Optimal Piecewise Linear Function Approximation for GPU-Based Applications”, in IEEE Transactions on Cybernetics, volume 46, number 11, →DOI, →ISSN, pages 2584–2595:", "text": "In essence, a piecewise function over an interval", "type": "quote" } ], "glosses": [ "Clipping of piecewise linear." ], "id": "en-piecewise-en-adj-WPMDDNDO", "links": [ [ "mathematics", "mathematics" ], [ "piecewise linear", "piecewise linear#English" ] ], "raw_glosses": [ "(mathematics) Clipping of piecewise linear." ], "tags": [ "abbreviation", "alt-of", "clipping" ], "topics": [ "mathematics", "sciences" ] } ], "word": "piecewise" }
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G. van Bokhoven, Piecewise Linear Modeling and Analysis, Springer Science & Business Media, →ISBN:", "text": "piecewise linear model which can serve as the base of any other", "type": "quote" } ], "glosses": [ "Throughout separate parts, but not necessarily throughout the whole." ], "links": [ [ "mathematics", "mathematics" ] ], "raw_glosses": [ "(especially mathematics) Throughout separate parts, but not necessarily throughout the whole." ], "tags": [ "especially", "not-comparable" ], "topics": [ "mathematics", "sciences" ] } ], "translations": [ { "code": "fi", "lang": "Finnish", "sense": "piece at a time", "word": "paloittain" }, { "code": "sv", "lang": "Swedish", "sense": "piece at a time", "word": "stegvis" }, { "code": "sv", "lang": "Swedish", "sense": "piece at a time", "word": "steg för steg" }, { "code": "sv", "lang": "Swedish", "sense": "piece at a time", "word": "etappvis" }, { "code": "fi", "lang": "Finnish", "sense": "mathematics: throughout separate parts but not necessarily throughout the whole", "word": "paloittain" }, { "code": "fr", "lang": "French", "sense": "mathematics: throughout separate parts but not necessarily throughout the whole", "word": "par morceaux" }, { "code": "is", "lang": "Icelandic", "sense": "mathematics: throughout separate parts but not necessarily throughout the whole", "word": "á köflum" }, { "alt": "くぶんてきに", "code": "ja", "lang": "Japanese", "roman": "kubunteki-ni", "sense": "mathematics: throughout separate parts but not necessarily throughout the whole", "word": "区分的に" } ], "word": "piecewise" } { "categories": [ "English adjectives", "English adverbs", "English entries with incorrect language header", "English lemmas", "English positive polarity items", "English terms suffixed with -wise", "English uncomparable adverbs", "Entries with translation boxes", "Pages with 1 entry", "Pages with entries", "Terms with Finnish translations", "Terms with French translations", "Terms with Icelandic translations", "Terms with Japanese translations", "Terms with Swedish translations" ], "etymology_templates": [ { "args": { "1": "en", "2": "piece", "3": "-wise" }, "expansion": "piece + -wise", "name": "af" } ], "etymology_text": "From piece + -wise.", "forms": [ { "form": "more piecewise", "tags": [ "comparative" ] }, { "form": "most piecewise", "tags": [ "superlative" ] } ], "head_templates": [ { "args": {}, "expansion": "piecewise (comparative more piecewise, superlative most piecewise)", "name": "en-adj" } ], "lang": "English", "lang_code": "en", "pos": "adj", "senses": [ { "categories": [ "English terms with quotations", "en:Mathematics" ], "examples": [ { "ref": "2018 April 1, Ivan Matić, Radoš Radoičić, Dan Stefanica, “A sharp Pólya-based approximation to the normal cumulative distribution function”, in Applied Mathematics and Computation, volume 322, →DOI, →ISSN, pages 111–122:", "text": "Our formula is not defined as a piecewise function, but rather as a single closed-form expression", "type": "quote" }, { "ref": "2019 September 1, Deepak Kumar, Yves Lucet, “Computation of the Epsilon-Subdifferential of Convex Piecewise Linear-Quadratic Functions in Optimal Worst-Case Time”, in Set-Valued and Variational Analysis, volume 27, number 3, →DOI, →ISSN, pages 623–641:", "text": "is a piecewise function but not a PLQ function", "type": "quote" }, { "ref": "2022, Ethan T. Wang, “Efficient Quantum State Preparation for the Cauchy Distribution Based on Piecewise Arithmetic”, in IEEE Transactions on Quantum Engineering, volume 3, →DOI, →ISSN, pages 1–9:", "text": "a piecewise function that consists of a single quadratic term and a constant term", "type": "quote" } ], "glosses": [ "Defined by subfunctions and subdomains" ], "links": [ [ "mathematics", "mathematics" ] ], "raw_glosses": [ "(mathematics) Defined by subfunctions and subdomains" ], "synonyms": [ { "word": "piecewise-defined" } ], "topics": [ "mathematics", "sciences" ] }, { "alt_of": [ { "word": "piecewise linear" } ], "categories": [ "English clippings", "English terms with quotations", "en:Mathematics" ], "examples": [ { "ref": "1970 September 14, Victor E. McZgee, Willard T. 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Murthy, “Fitting optimal piecewise linear functions using genetic algorithms”, in IEEE Transactions on Pattern Analysis and Machine Intelligence, volume 22, number 7, →DOI, pages 701–718:", "text": "we can get arbitrarily close to any piecewise function with knot locations satisfying", "type": "quote" }, { "ref": "2016 November 14, Daniel Berjon, Guillermo Gallego, Carlos Cuevas, Francisco Moran, Narciso Garcia, “Optimal Piecewise Linear Function Approximation for GPU-Based Applications”, in IEEE Transactions on Cybernetics, volume 46, number 11, →DOI, →ISSN, pages 2584–2595:", "text": "In essence, a piecewise function over an interval", "type": "quote" } ], "glosses": [ "Clipping of piecewise linear." ], "links": [ [ "mathematics", "mathematics" ], [ "piecewise linear", "piecewise linear#English" ] ], "raw_glosses": [ "(mathematics) Clipping of piecewise linear." ], "tags": [ "abbreviation", "alt-of", "clipping" ], "topics": [ "mathematics", "sciences" ] } ], "word": "piecewise" }
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