"piecewise linear" meaning in All languages combined

See piecewise linear on Wiktionary

Adjective [English]

Etymology: From piecewise (adverb) + linear. Etymology templates: {{ety|en|:af|piecewise<pos:adv>|linear|text=+|tree=1}} [Appendix:Glossary#inherited|Inherited]] from", "keyword" : "inherited" } ], "lang_name" : "Proto-Germanic", "term" : "*wīsaz", "status" : "ok", "lang" : "gem-pro" } ], "keyword_label" : "From", "keyword" : "from" } ], "lang_name" : "Proto-Germanic", "term" : "*-wīsaz", "status" : "inline", "lang" : "gem-pro" } ], "keyword_label" : "Inherited from", "keyword" : "inherited" } ], "lang_name" : "Proto-West Germanic", "term" : "*-wīs", "status" : "inline", "lang" : "gmw-pro" } ], "keyword_label" : "Inherited from", "keyword" : "inherited" } ], "lang_name" : "Old English", "term" : "-wīs", "status" : "ok", "lang" : "ang" } ], "keyword_label" : "Inherited from", "keyword" : "inherited" } ], "lang_name" : "Middle English", "term" : "-wis", "status" : "inline", "lang" : "enm" } ], "keyword_label" : "Inherited from", "keyword" : "inherited" } ], "lang_name" : "English", "term" : "-wise", "status" : "ok", "lang" : "en" } ], "keyword_label" : "From", "is_group" : true, "keyword" : "affix" } ], "lang_name" : "English", "term" : "piecewise", "status" : "ok", "lang" : "en", "pos" : "adv" }, { "children" : [ { "keyword_abbrev" : "bor.", "keyword_label" : "Borrowed from", "terms" : [ { "children" : [ { "terms" : [ { "gloss" : "line", "children" : [ { "terms" : [ { "children" : [ { "terms" : [ { "children" : [ { "terms" : [ { "children" : [ { "keyword_abbrev" : "der.", "keyword_label" : "Derived from", "terms" : [ { "children" : [ ], "lang_name" : "Proto-Indo-European", "term" : "*līnom", "status" : "missing", "lang" : "ine-pro" } ], "keyword" : "derived" } ], "lang_name" : "Proto-Italic", "term" : "*līnom", "status" : "inline", "lang" : "itc-pro" } ], "keyword_label" : "Inherited from", "keyword" : "inherited" } ], "lang_name" : "Latin", "term" : "līnum", "status" : "ok", "lang" : "la" }, { "id" : "relational adjective", "children" : [ { "terms" : [ { "children" : [ { "terms" : [ { "alt" : "*-ejos", "lang_name" : "Proto-Italic", "status" : "inline", "children" : [ { "terms" : [ { "children" : [ ], "lang_name" : "Proto-Indo-European", "term" : "*-éyos", "status" : "missing", "lang" : "ine-pro" } ], "keyword_label" : "Inherited from", "keyword" : "inherited" } ], "lang" : "itc-pro" } ], "keyword_label" : "From", "keyword" : "from" } ], "lang_name" : "Proto-Italic", "term" : "*-eos", "status" : "ok", "lang" : "itc-pro" } ], "keyword_label" : "Inherited from", "keyword" : "inherited" } ], "status" : "ok", "lang_name" : "Latin", "term" : "-eus", "lang" : "la" } ], "keyword_label" : "From", "is_group" : true, "keyword" : "affix" } ], "lang_name" : "Latin", "term" : "līneus", "status" : "ok", "lang" : "la" } ], "keyword_label" : "From", "keyword" : "from" } ], "lang_name" : "Latin", "term" : "līnea", "status" : "ok", "lang" : "la" }, { "children" : [ { "terms" : [ { "id" : "adjectivizing suffix", "children" : [ { "terms" : [ { "children" : [ { "keyword_abbrev" : "der.", "is_uncertain" : true, "keyword_label" : "Derived from", "terms" : [ { "alt" : "*h₂élis", "lang_name" : "Proto-Indo-European", "status" : "inline", "children" : [ { "terms" : [ { "id" : "grow", "children" : [ ], "status" : "ok", "lang_name" : "Proto-Indo-European", "term" : "*h₂el-", "lang" : "ine-pro" }, { "children" : [ ], "lang_name" : "Proto-Indo-European", "term" : "*-is", "status" : "ok", "lang" : "ine-pro" } ], "keyword_label" : "From", "is_group" : true, "keyword" : "affix" } ], "lang" : "ine-pro" } ], "keyword" : "derived" } ], "lang_name" : "Proto-Italic", "term" : "*-ālis", "status" : "ok", "lang" : "itc-pro" } ], "keyword_label" : "Inherited from", "keyword" : "inherited" } ], "status" : "ok", "lang_name" : "Latin", "term" : "-ālis", "lang" : "la" } ], "keyword_label" : "From", "keyword" : "from" } ], "lang_name" : "Latin", "term" : "-āris", "status" : "ok", "lang" : "la" } ], "keyword_label" : "From", "is_group" : true, "keyword" : "affix" } ], "lang_name" : "Latin", "term" : "līneāris", "status" : "ok", "lang" : "la" } ], "keyword" : "bor" } ], "lang_name" : "English", "term" : "linear", "status" : "ok", "lang" : "en" } ], "keyword_label" : "From", "is_group" : true, "keyword" : "affix" } ], "lang_name" : "English", "term" : "piecewise linear", "status" : "ok", "lang" : "en" }" data-lang="en" data-title="piecewise linear"> From piecewise (adverb) + linear. Head templates: {{en-adj|-}} piecewise linear (not comparable)
  1. (mathematics) Equal to a sum of finitely many linear functions, each defined on a convex polytope: said of functions between vector spaces Tags: not-comparable Translations (mathematics: equal to a sum of finitely many linear functions): paloittain lineaarinen (Finnish), línulegur á köflum [masculine] (Icelandic), odcinkowo-liniowy (Polish), кусо́чно-лине́йный (kusóčno-linéjnyj) (Russian)
    Sense id: en-piecewise_linear-en-adj-~naI2ijm Categories (other): Mathematics, English entries with etymology texts, English entries with etymon, English entries with incorrect language header, Entries with translation boxes, Pages using etymon with no ID, Pages with 1 entry, Pages with entries, Pages with etymon, Terms with Finnish translations, Terms with Icelandic translations, Terms with Polish translations, Terms with Russian translations Disambiguation of English entries with etymology texts: 65 35 Disambiguation of English entries with etymon: 64 36 Disambiguation of English entries with incorrect language header: 57 43 Disambiguation of Entries with translation boxes: 60 40 Disambiguation of Pages using etymon with no ID: 61 39 Disambiguation of Pages with 1 entry: 59 41 Disambiguation of Pages with entries: 59 41 Disambiguation of Pages with etymon: 69 31 Disambiguation of Terms with Finnish translations: 60 40 Disambiguation of Terms with Icelandic translations: 60 40 Disambiguation of Terms with Polish translations: 60 40 Disambiguation of Terms with Russian translations: 60 40 Topics: mathematics, sciences Disambiguation of 'mathematics: equal to a sum of finitely many linear functions': 83 17
  2. (topology) Having a defining atlas such that there is a piecewise linear homeomorphism between any pair of intersecting atlas charts: said of manifolds Tags: not-comparable Synonyms: PL
    Sense id: en-piecewise_linear-en-adj-Yuqs0-Z4 Categories (other): Topology Topics: mathematics, sciences, topology

Alternative forms

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        "(topology) Having a defining atlas such that there is a piecewise linear homeomorphism between any pair of intersecting atlas charts: said of manifolds"
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      "name": "ety"
    }
  ],
  "etymology_text": "From piecewise (adverb) + linear.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "piecewise linear (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "Equal to a sum of finitely many linear functions, each defined on a convex polytope: said of functions between vector spaces"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "Equal",
          "equal"
        ],
        [
          "sum",
          "sum"
        ],
        [
          "finite",
          "finite"
        ],
        [
          "linear",
          "linear"
        ],
        [
          "function",
          "function"
        ],
        [
          "defined",
          "defined"
        ],
        [
          "convex",
          "convex"
        ],
        [
          "polytope",
          "polytope"
        ],
        [
          "vector space",
          "vector space"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Equal to a sum of finitely many linear functions, each defined on a convex polytope: said of functions between vector spaces"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Topology"
      ],
      "glosses": [
        "Having a defining atlas such that there is a piecewise linear homeomorphism between any pair of intersecting atlas charts: said of manifolds"
      ],
      "links": [
        [
          "topology",
          "topology"
        ],
        [
          "defining",
          "defining"
        ],
        [
          "atlas",
          "atlas"
        ],
        [
          "homeomorphism",
          "homeomorphism"
        ],
        [
          "intersect",
          "intersect"
        ],
        [
          "chart",
          "chart"
        ]
      ],
      "raw_glosses": [
        "(topology) Having a defining atlas such that there is a piecewise linear homeomorphism between any pair of intersecting atlas charts: said of manifolds"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences",
        "topology"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "PL"
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "lang_code": "fi",
      "sense": "mathematics: equal to a sum of finitely many linear functions",
      "word": "paloittain lineaarinen"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "lang_code": "is",
      "sense": "mathematics: equal to a sum of finitely many linear functions",
      "tags": [
        "masculine"
      ],
      "word": "línulegur á köflum"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "lang_code": "pl",
      "sense": "mathematics: equal to a sum of finitely many linear functions",
      "word": "odcinkowo-liniowy"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "lang_code": "ru",
      "roman": "kusóčno-linéjnyj",
      "sense": "mathematics: equal to a sum of finitely many linear functions",
      "word": "кусо́чно-лине́йный"
    }
  ],
  "word": "piecewise linear"
}

Download raw JSONL data for piecewise linear meaning in All languages combined (8.0kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2026-09-25 from the enwiktionary dump dated 2026-09-02 using wiktextract (1a05e46 and e3d6d4e). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.