"Riemann sum" meaning in English

{
  "etymology_text": "Named after Bernhard Riemann, a German mathematician.",
  "forms": [
    {
      "form": "Riemann sums",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Riemann sum (plural Riemann sums)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
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          "source": "w"
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          "name": "Mathematics",
          "orig": "en:Mathematics",
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            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A certain kind of approximation of an integral by a finite sum that is calculated by dividing the interval of integration into smaller sub-intervals and summing sample values of the integrand inside those sub-intervals multiplied by their lengths."
      ],
      "id": "en-Riemann_sum-en-noun-SO0s3EVp",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "approximation",
          "approximation"
        ],
        [
          "integral",
          "integral"
        ],
        [
          "finite",
          "finite"
        ],
        [
          "sum",
          "sum"
        ],
        [
          "interval",
          "interval"
        ],
        [
          "summing",
          "sum"
        ],
        [
          "value",
          "value"
        ],
        [
          "integrand",
          "integrand"
        ],
        [
          "multiplied",
          "multiply"
        ],
        [
          "length",
          "length"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A certain kind of approximation of an integral by a finite sum that is calculated by dividing the interval of integration into smaller sub-intervals and summing sample values of the integrand inside those sub-intervals multiplied by their lengths."
      ],
      "related": [
        {
          "word": "Riemann integral"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Riemann sum"
      ]
    }
  ],
  "word": "Riemann sum"
}

{
  "etymology_text": "Named after Bernhard Riemann, a German mathematician.",
  "forms": [
    {
      "form": "Riemann sums",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Riemann sum (plural Riemann sums)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "Riemann integral"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
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        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "glosses": [
        "A certain kind of approximation of an integral by a finite sum that is calculated by dividing the interval of integration into smaller sub-intervals and summing sample values of the integrand inside those sub-intervals multiplied by their lengths."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "approximation",
          "approximation"
        ],
        [
          "integral",
          "integral"
        ],
        [
          "finite",
          "finite"
        ],
        [
          "sum",
          "sum"
        ],
        [
          "interval",
          "interval"
        ],
        [
          "summing",
          "sum"
        ],
        [
          "value",
          "value"
        ],
        [
          "integrand",
          "integrand"
        ],
        [
          "multiplied",
          "multiply"
        ],
        [
          "length",
          "length"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A certain kind of approximation of an integral by a finite sum that is calculated by dividing the interval of integration into smaller sub-intervals and summing sample values of the integrand inside those sub-intervals multiplied by their lengths."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Riemann sum"
      ]
    }
  ],
  "word": "Riemann sum"
}