"Basel problem" meaning in All languages combined

{
  "etymology_text": "Named after Basel, the home town of Euler and of the Bernoulli family who unsuccessfully attacked the problem.",
  "head_templates": [
    {
      "args": {},
      "expansion": "Basel problem",
      "name": "en-proper noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "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": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "1999, William Dunham, Euler: The Master of Us All, Mathematical Association of America, page 55",
          "text": "As noted, some of Euler's contemporaries, while accepting his answer to the Basel Problem, wondered about the validity of the argument that got him there.",
          "type": "quotation"
        },
        {
          "ref": "2005, Rajendra Bhatia, Fourier Series, Mathematical Association of America, section 3.10, page 75",
          "text": "Solving the Basel problem was one of the early triumphs of L. Euler (1707–1783)... .",
          "type": "quotation"
        },
        {
          "ref": "2007, Charles Edward Sandifer, The Early Mathematics of Leonhard Euler, Mathematical Association of America, page 165",
          "text": "And so ends one of Euler's most famous papers. We see that Euler actually solves the Basel problem three times and that he does much more.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The question as to the value of ∑ₙ₌₁ ᪲1/(n²), the sum of the reciprocals of the squares of the positive integers."
      ],
      "id": "en-Basel_problem-en-name-6a7OJjPR",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "question",
          "question"
        ],
        [
          "value",
          "value"
        ],
        [
          "sum",
          "sum"
        ],
        [
          "reciprocal",
          "reciprocal"
        ],
        [
          "square",
          "square"
        ],
        [
          "positive",
          "positive"
        ],
        [
          "integer",
          "integer"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The question as to the value of ∑ₙ₌₁ ᪲1/(n²), the sum of the reciprocals of the squares of the positive integers."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Basel problem"
      ]
    }
  ],
  "word": "Basel problem"
}

{
  "etymology_text": "Named after Basel, the home town of Euler and of the Bernoulli family who unsuccessfully attacked the problem.",
  "head_templates": [
    {
      "args": {},
      "expansion": "Basel problem",
      "name": "en-proper noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English proper nouns",
        "English terms with quotations",
        "English uncountable nouns",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "1999, William Dunham, Euler: The Master of Us All, Mathematical Association of America, page 55",
          "text": "As noted, some of Euler's contemporaries, while accepting his answer to the Basel Problem, wondered about the validity of the argument that got him there.",
          "type": "quotation"
        },
        {
          "ref": "2005, Rajendra Bhatia, Fourier Series, Mathematical Association of America, section 3.10, page 75",
          "text": "Solving the Basel problem was one of the early triumphs of L. Euler (1707–1783)... .",
          "type": "quotation"
        },
        {
          "ref": "2007, Charles Edward Sandifer, The Early Mathematics of Leonhard Euler, Mathematical Association of America, page 165",
          "text": "And so ends one of Euler's most famous papers. We see that Euler actually solves the Basel problem three times and that he does much more.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "The question as to the value of ∑ₙ₌₁ ᪲1/(n²), the sum of the reciprocals of the squares of the positive integers."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "question",
          "question"
        ],
        [
          "value",
          "value"
        ],
        [
          "sum",
          "sum"
        ],
        [
          "reciprocal",
          "reciprocal"
        ],
        [
          "square",
          "square"
        ],
        [
          "positive",
          "positive"
        ],
        [
          "integer",
          "integer"
        ]
      ],
      "raw_glosses": [
        "(mathematics) The question as to the value of ∑ₙ₌₁ ᪲1/(n²), the sum of the reciprocals of the squares of the positive integers."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Basel problem"
      ]
    }
  ],
  "word": "Basel problem"
}