"adic" meaning in English

{
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "adic (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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          "source": "w"
        },
        {
          "_dis": "53 47",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
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          "source": "w+disamb"
        }
      ],
      "examples": [
        {
          "ref": "2015, Thierry Giordano, David Handelman, Radu B. Munteanu, “Nonsingular transformations and dimension spaces”, in arXiv",
          "text": "For any adic transformation T defined on the path space X of an ordered Bratteli diagram, endowed with a Markov measure #x5C;mu, we construct an explicit dimension space (which corresponds to a matrix values random walk on #x5C;mathbb#x7B;Z#x7D;) whose Poisson boundary can be identified as a #x5C;mathbb#x7B;Z#x7D;-space with the dynamical system (X,#x5C;mu,T).",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Relating to adicity"
      ],
      "id": "en-adic-en-adj-yu5wCOrw",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "adicity",
          "adicity"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Relating to adicity"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Algebra",
          "orig": "en:Algebra",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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          "source": "w"
        },
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          "_dis": "53 47",
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          "name": "English entries with incorrect language header",
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        }
      ],
      "glosses": [
        "Carrying the I-adic topology for some ideal I of the ring."
      ],
      "id": "en-adic-en-adj-bWYUywfl",
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "topological",
          "topology"
        ],
        [
          "ring",
          "ring"
        ],
        [
          "-adic",
          "-adic"
        ]
      ],
      "raw_glosses": [
        "(algebra, of topological ring) Carrying the I-adic topology for some ideal I of the ring."
      ],
      "raw_tags": [
        "of topological ring"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "adic"
}

{
  "categories": [
    "English adjectives",
    "English entries with incorrect language header",
    "English lemmas",
    "English uncomparable adjectives"
  ],
  "head_templates": [
    {
      "args": {
        "1": "-"
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      "expansion": "adic (not comparable)",
      "name": "en-adj"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adj",
  "senses": [
    {
      "categories": [
        "English terms with quotations",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "2015, Thierry Giordano, David Handelman, Radu B. Munteanu, “Nonsingular transformations and dimension spaces”, in arXiv",
          "text": "For any adic transformation T defined on the path space X of an ordered Bratteli diagram, endowed with a Markov measure #x5C;mu, we construct an explicit dimension space (which corresponds to a matrix values random walk on #x5C;mathbb#x7B;Z#x7D;) whose Poisson boundary can be identified as a #x5C;mathbb#x7B;Z#x7D;-space with the dynamical system (X,#x5C;mu,T).",
          "type": "quotation"
        }
      ],
      "glosses": [
        "Relating to adicity"
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "adicity",
          "adicity"
        ]
      ],
      "raw_glosses": [
        "(mathematics) Relating to adicity"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Algebra"
      ],
      "glosses": [
        "Carrying the I-adic topology for some ideal I of the ring."
      ],
      "links": [
        [
          "algebra",
          "algebra"
        ],
        [
          "topological",
          "topology"
        ],
        [
          "ring",
          "ring"
        ],
        [
          "-adic",
          "-adic"
        ]
      ],
      "raw_glosses": [
        "(algebra, of topological ring) Carrying the I-adic topology for some ideal I of the ring."
      ],
      "raw_tags": [
        "of topological ring"
      ],
      "tags": [
        "not-comparable"
      ],
      "topics": [
        "algebra",
        "mathematics",
        "sciences"
      ]
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  ],
  "word": "adic"
}