"shuffle algebra" meaning in All languages combined

{
  "forms": [
    {
      "form": "shuffle algebras",
      "tags": [
        "plural"
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  "lang_code": "en",
  "pos": "noun",
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      "glosses": [
        "A Hopf algebra with a basis corresponding to words on some set, whose product is given by the shuffle product X ⧢ Y of two words X, Y: the sum of all ways of interlacing them. The interlacing is given by the riffle shuffle permutation."
      ],
      "id": "en-shuffle_algebra-en-noun-oIPRWwRe",
      "links": [
        [
          "mathematics",
          "mathematics"
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        [
          "Hopf algebra",
          "Hopf algebra"
        ],
        [
          "basis",
          "basis"
        ],
        [
          "word",
          "word"
        ],
        [
          "set",
          "set"
        ],
        [
          "product",
          "product"
        ],
        [
          "shuffle product",
          "shuffle product"
        ],
        [
          "interlacing",
          "interlace"
        ],
        [
          "riffle shuffle",
          "riffle shuffle"
        ],
        [
          "permutation",
          "permutation"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A Hopf algebra with a basis corresponding to words on some set, whose product is given by the shuffle product X ⧢ Y of two words X, Y: the sum of all ways of interlacing them. The interlacing is given by the riffle shuffle permutation."
      ],
      "related": [
        {
          "word": "riffle shuffle"
        },
        {
          "word": "shuffle product"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
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    }
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  "word": "shuffle algebra"
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{
  "forms": [
    {
      "form": "shuffle algebras",
      "tags": [
        "plural"
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "riffle shuffle"
    },
    {
      "word": "shuffle product"
    }
  ],
  "senses": [
    {
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      "glosses": [
        "A Hopf algebra with a basis corresponding to words on some set, whose product is given by the shuffle product X ⧢ Y of two words X, Y: the sum of all ways of interlacing them. The interlacing is given by the riffle shuffle permutation."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "Hopf algebra",
          "Hopf algebra"
        ],
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          "basis",
          "basis"
        ],
        [
          "word",
          "word"
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        [
          "set",
          "set"
        ],
        [
          "product",
          "product"
        ],
        [
          "shuffle product",
          "shuffle product"
        ],
        [
          "interlacing",
          "interlace"
        ],
        [
          "riffle shuffle",
          "riffle shuffle"
        ],
        [
          "permutation",
          "permutation"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A Hopf algebra with a basis corresponding to words on some set, whose product is given by the shuffle product X ⧢ Y of two words X, Y: the sum of all ways of interlacing them. The interlacing is given by the riffle shuffle permutation."
      ],
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  "word": "shuffle algebra"
}