"lower limit" meaning in English

{
  "antonyms": [
    {
      "word": "upper limit"
    }
  ],
  "forms": [
    {
      "form": "lower limits",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "lower limit (plural lower limits)",
      "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"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematical analysis",
          "orig": "en:Mathematical analysis",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "The lower limit of a sequence of real numbers is the real number which can be found as follows: remove the first term of the sequence in order to obtain the \"first subsequence.\" Then remove the first term of the first subsequence in order to obtain the \"second subsequence.\" Repeat the removal of first terms in order to obtain a \"third subsequence,\" \"fourth subsequence,\" etc. Find the infimum of each of these subsequences, then find the supremum of all of these infimums. This supremum is the lower limit."
      ],
      "id": "en-lower_limit-en-noun-8QWPFhVr",
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "real numbers",
          "real numbers"
        ],
        [
          "infimum",
          "infimum"
        ],
        [
          "supremum",
          "supremum"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) The lower limit of a sequence of real numbers is the real number which can be found as follows: remove the first term of the sequence in order to obtain the \"first subsequence.\" Then remove the first term of the first subsequence in order to obtain the \"second subsequence.\" Repeat the removal of first terms in order to obtain a \"third subsequence,\" \"fourth subsequence,\" etc. Find the infimum of each of these subsequences, then find the supremum of all of these infimums. This supremum is the lower limit."
      ],
      "synonyms": [
        {
          "word": "limit inferior"
        }
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "the lower limit of a sequence of real numbers",
          "word": "alaraja-arvo"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "the lower limit of a sequence of real numbers",
          "word": "alaraja"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "the lower limit of a sequence of real numbers",
          "tags": [
            "feminine"
          ],
          "word": "dolna granica"
        }
      ]
    }
  ],
  "word": "lower limit"
}

{
  "antonyms": [
    {
      "word": "upper limit"
    }
  ],
  "forms": [
    {
      "form": "lower limits",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "lower limit (plural lower limits)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "en:Mathematical analysis"
      ],
      "glosses": [
        "The lower limit of a sequence of real numbers is the real number which can be found as follows: remove the first term of the sequence in order to obtain the \"first subsequence.\" Then remove the first term of the first subsequence in order to obtain the \"second subsequence.\" Repeat the removal of first terms in order to obtain a \"third subsequence,\" \"fourth subsequence,\" etc. Find the infimum of each of these subsequences, then find the supremum of all of these infimums. This supremum is the lower limit."
      ],
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "real numbers",
          "real numbers"
        ],
        [
          "infimum",
          "infimum"
        ],
        [
          "supremum",
          "supremum"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) The lower limit of a sequence of real numbers is the real number which can be found as follows: remove the first term of the sequence in order to obtain the \"first subsequence.\" Then remove the first term of the first subsequence in order to obtain the \"second subsequence.\" Repeat the removal of first terms in order to obtain a \"third subsequence,\" \"fourth subsequence,\" etc. Find the infimum of each of these subsequences, then find the supremum of all of these infimums. This supremum is the lower limit."
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "limit inferior"
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "the lower limit of a sequence of real numbers",
      "word": "alaraja-arvo"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "the lower limit of a sequence of real numbers",
      "word": "alaraja"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "the lower limit of a sequence of real numbers",
      "tags": [
        "feminine"
      ],
      "word": "dolna granica"
    }
  ],
  "word": "lower limit"
}