"cocoercive" meaning in All languages combined

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "coercive"
      },
      "expansion": "co- + coercive",
      "name": "prefix"
    }
  ],
  "etymology_text": "co- + coercive",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "cocoercive (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
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          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
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        {
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          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
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      "examples": [
        {
          "ref": "2015, Patrick L. Combettes, Jean-Christophe Pesquet, “Stochastic Approximations and Perturbations in Forward-Backward Splitting for Monotone Operators”, in arXiv",
          "text": "Our general setting features stochastic approximations of the cocoercive operator and stochastic perturbations in the evaluation of the resolvents of the set-valued operator.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Having the property that there exists a constant L ≥ 0 such that for all x and y in the domain, <Ax-Ay, x-y> is greater than or equal to 1/L ||Ax - Ay||<sup>2</sup>, where Ax is the operator applied to x."
      ],
      "id": "en-cocoercive-en-adj-YT1YGO1X",
      "links": [
        [
          "mathematics",
          "mathematics"
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      ],
      "raw_glosses": [
        "(mathematics, of an operator) Having the property that there exists a constant L ≥ 0 such that for all x and y in the domain, <Ax-Ay, x-y> is greater than or equal to 1/L ||Ax - Ay||<sup>2</sup>, where Ax is the operator applied to x."
      ],
      "raw_tags": [
        "of an operator"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "cocoercive"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "co",
        "3": "coercive"
      },
      "expansion": "co- + coercive",
      "name": "prefix"
    }
  ],
  "etymology_text": "co- + coercive",
  "head_templates": [
    {
      "args": {
        "1": "-"
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      "expansion": "cocoercive (not comparable)",
      "name": "en-adj"
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
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        "English entries with incorrect language header",
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          "text": "Our general setting features stochastic approximations of the cocoercive operator and stochastic perturbations in the evaluation of the resolvents of the set-valued operator.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Having the property that there exists a constant L ≥ 0 such that for all x and y in the domain, <Ax-Ay, x-y> is greater than or equal to 1/L ||Ax - Ay||<sup>2</sup>, where Ax is the operator applied to x."
      ],
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        [
          "mathematics",
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      ],
      "raw_glosses": [
        "(mathematics, of an operator) Having the property that there exists a constant L ≥ 0 such that for all x and y in the domain, <Ax-Ay, x-y> is greater than or equal to 1/L ||Ax - Ay||<sup>2</sup>, where Ax is the operator applied to x."
      ],
      "raw_tags": [
        "of an operator"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "cocoercive"
}