"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 Disambiguation of English blends: 60 40 Disambiguation of English entries with incorrect language header: 60 40 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
The following are not (yet) sense-disambiguated
Derived forms: semipositone

Download JSON data for positone meaning in English (2.1kB)

{
  "derived": [
    {
      "_dis1": "0 0",
      "word": "semipositone"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "positive",
        "3": "monotone"
      },
      "expansion": "Blend of positive + monotone",
      "name": "blend"
    }
  ],
  "etymology_text": "Blend of positive + monotone",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "positone (not comparable)",
      "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": "60 40",
          "kind": "other",
          "name": "English blends",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "60 40",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        }
      ],
      "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": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "eigenvalue",
          "eigenvalue"
        ],
        [
          "nonlinear",
          "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"
      ]
    },
    {
      "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..."
      ],
      "id": "en-positone-en-adj-tAsajU5q",
      "tags": [
        "not-comparable"
      ]
    }
  ],
  "word": "positone"
}
{
  "categories": [
    "English adjectives",
    "English blends",
    "English entries with incorrect language header",
    "English lemmas",
    "English uncomparable adjectives"
  ],
  "derived": [
    {
      "word": "semipositone"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "positive",
        "3": "monotone"
      },
      "expansion": "Blend of positive + monotone",
      "name": "blend"
    }
  ],
  "etymology_text": "Blend of positive + monotone",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "positone (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "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"
        ],
        [
          "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"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-03 from the enwiktionary dump dated 2024-05-02 using wiktextract (f4fd8c9 and c9440ce). 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.