"δ-box" meaning in English

{
  "forms": [
    {
      "form": "δ-boxes",
      "tags": [
        "plural"
      ]
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        "1": "δ-boxes",
        "head": "δ-box"
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      "expansion": "δ-box (plural δ-boxes)",
      "name": "en-noun"
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "name": "Mathematical analysis",
          "orig": "en:Mathematical analysis",
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            "Formal sciences",
            "Sciences",
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          "name": "Measure theory",
          "orig": "en:Measure theory",
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            "Formal sciences",
            "Sciences",
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            "Fundamental"
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      ],
      "glosses": [
        "A k-cell which is a Cartesian product of half-closed intervals which are closed at their infima and open at their suprema, and such that the infimum of each interval is the coordinate of a given point (called \"the corner\" of the δ-box), and the length (i.e., measure) of each interval is equal to (the given value) δ."
      ],
      "hypernyms": [
        {
          "word": "k-cell"
        }
      ],
      "id": "en-δ-box-en-noun-s88K6e-d",
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "k-cell",
          "k-cell"
        ],
        [
          "Cartesian product",
          "Cartesian product"
        ],
        [
          "interval",
          "interval"
        ],
        [
          "infima",
          "infima"
        ],
        [
          "suprema",
          "suprema"
        ],
        [
          "coordinate",
          "coordinate"
        ],
        [
          "measure",
          "measure"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) A k-cell which is a Cartesian product of half-closed intervals which are closed at their infima and open at their suprema, and such that the infimum of each interval is the coordinate of a given point (called \"the corner\" of the δ-box), and the length (i.e., measure) of each interval is equal to (the given value) δ."
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "δ-box"
}

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      "tags": [
        "plural"
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      "expansion": "δ-box (plural δ-boxes)",
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  ],
  "hypernyms": [
    {
      "word": "k-cell"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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        "en:Mathematical analysis",
        "en:Measure theory"
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      "glosses": [
        "A k-cell which is a Cartesian product of half-closed intervals which are closed at their infima and open at their suprema, and such that the infimum of each interval is the coordinate of a given point (called \"the corner\" of the δ-box), and the length (i.e., measure) of each interval is equal to (the given value) δ."
      ],
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "k-cell",
          "k-cell"
        ],
        [
          "Cartesian product",
          "Cartesian product"
        ],
        [
          "interval",
          "interval"
        ],
        [
          "infima",
          "infima"
        ],
        [
          "suprema",
          "suprema"
        ],
        [
          "coordinate",
          "coordinate"
        ],
        [
          "measure",
          "measure"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) A k-cell which is a Cartesian product of half-closed intervals which are closed at their infima and open at their suprema, and such that the infimum of each interval is the coordinate of a given point (called \"the corner\" of the δ-box), and the length (i.e., measure) of each interval is equal to (the given value) δ."
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "δ-box"
}