"positone" meaning in English

See positone in All languages combined, or Wiktionary

Adjective

Etymology: Blend of positive + monotone Etymology templates: {{blend|en|positive|monotone}} Blend of positive + monotone Head templates: {{en-adj|-}} positone (not comparable)
  1. (mathematics) of a particular kind of eigenvalue problem involving a nonlinear function on the reals that is continuous, positive, and monotone. Tags: not-comparable Categories (topical): Mathematics
    Sense id: en-positone-en-adj-cV~RzS2W Categories (other): English blends, English entries with incorrect language header, English terms prefixed with posi-, Pages with 2 entries, Pages with entries Disambiguation of English blends: 60 40 Disambiguation of English entries with incorrect language header: 59 41 Disambiguation of English terms prefixed with posi-: 59 41 Disambiguation of Pages with 2 entries: 50 50 Disambiguation of Pages with entries: 59 41 Topics: mathematics, sciences
  2. for scriptstyle λ>0 under the assumption that scriptstyle f: ℝ→ ℝ is continuous, positive, monotone. For this reason such problems were named positone... If the nonlinearity scriptstyle f: ℝ→ ℝ is continuous, monotone and scriptstyle f(0)<0,...then the eigenvalue problem is called semipositone... Tags: not-comparable
    Sense id: en-positone-en-adj-tAsajU5q Categories (other): Pages with 2 entries Disambiguation of Pages with 2 entries: 50 50
The following are not (yet) sense-disambiguated
Derived forms: semipositone
{
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      "word": "semipositone"
    }
  ],
  "etymology_templates": [
    {
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        "1": "en",
        "2": "positive",
        "3": "monotone"
      },
      "expansion": "Blend of positive + monotone",
      "name": "blend"
    }
  ],
  "etymology_text": "Blend of positive + monotone",
  "head_templates": [
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      "expansion": "positone (not comparable)",
      "name": "en-adj"
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  "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": "60 40",
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          "parents": [],
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            "Entry maintenance"
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          "_dis": "59 41",
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      "examples": [
        {
          "ref": "Leszek Gasinski, Nikolaos S. Papageorgiou (2004) Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems, CRC Press, page 704",
          "text": "Finally, we mention that several papers studied nonlinear eigenvalue problems of the form"
        }
      ],
      "glosses": [
        "of a particular kind of eigenvalue problem involving a nonlinear function on the reals that is continuous, positive, and monotone."
      ],
      "id": "en-positone-en-adj-cV~RzS2W",
      "links": [
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          "eigenvalue"
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          "nonlinear"
        ],
        [
          "reals",
          "real number"
        ],
        [
          "continuous",
          "continuous"
        ],
        [
          "monotone",
          "monotone"
        ]
      ],
      "raw_glosses": [
        "(mathematics) of a particular kind of eigenvalue problem involving a nonlinear function on the reals that is continuous, positive, and monotone."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
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    {
      "categories": [
        {
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      "glosses": [
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      ],
      "id": "en-positone-en-adj-tAsajU5q",
      "tags": [
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{
  "categories": [
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    "English blends",
    "English entries with incorrect language header",
    "English lemmas",
    "English terms prefixed with posi-",
    "English uncomparable adjectives",
    "Pages with 2 entries",
    "Pages with entries"
  ],
  "derived": [
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  "etymology_templates": [
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      "args": {
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      },
      "expansion": "Blend of positive + monotone",
      "name": "blend"
    }
  ],
  "etymology_text": "Blend of positive + monotone",
  "head_templates": [
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      "args": {
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      },
      "expansion": "positone (not comparable)",
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    }
  ],
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  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "Leszek Gasinski, Nikolaos S. Papageorgiou (2004) Nonsmooth Critical Point Theory and Nonlinear Boundary Value Problems, CRC Press, page 704",
          "text": "Finally, we mention that several papers studied nonlinear eigenvalue problems of the form"
        }
      ],
      "glosses": [
        "of a particular kind of eigenvalue problem involving a nonlinear function on the reals that is continuous, positive, and monotone."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "eigenvalue",
          "eigenvalue"
        ],
        [
          "nonlinear",
          "nonlinear"
        ],
        [
          "reals",
          "real number"
        ],
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          "continuous",
          "continuous"
        ],
        [
          "monotone",
          "monotone"
        ]
      ],
      "raw_glosses": [
        "(mathematics) of a particular kind of eigenvalue problem involving a nonlinear function on the reals that is continuous, positive, and monotone."
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "glosses": [
        "for scriptstyle λ>0 under the assumption that scriptstyle f: ℝ→ ℝ is continuous, positive, monotone. For this reason such problems were named positone... If the nonlinearity scriptstyle f: ℝ→ ℝ is continuous, monotone and scriptstyle f(0)<0,...then the eigenvalue problem is called semipositone..."
      ],
      "tags": [
        "not-comparable"
      ]
    }
  ],
  "word": "positone"
}

Download raw JSONL data for positone meaning in English (1.8kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-01-15 from the enwiktionary dump dated 2025-01-01 using wiktextract (b941637 and 4230888). 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.

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