"right stochastic matrix" meaning in All languages combined

See right stochastic matrix on Wiktionary

Noun [English]

Forms: right stochastic matrices [plural]
Etymology: From right + stochastic matrix. Etymology templates: {{compound|en|right|stochastic matrix}} right + stochastic matrix Head templates: {{en-noun|right stochastic matrices}} right stochastic matrix (plural right stochastic matrices)
  1. (mathematics, stochastic processes) A square matrix whose rows consist of nonnegative real numbers, with each row summing to 1. Used to describe the transitions of a Markov chain; its element in the i'th row and j'th column describes the probability of moving from state i to state j in one time step. Wikipedia link: right stochastic matrix Categories (topical): Mathematics Synonyms: stochastic matrix, transition matrix, probability matrix Related terms: left stochastic matrix, doubly stochastic matrix Translations (a square matrix): zeilenstochastische Übergangsmatrix [feminine] (German), zeilenstochastische Matrix [feminine] (German), מטריצת מעברים (matrítzat ma'avarím) [feminine] (Hebrew)

Inflected forms

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "right",
        "3": "stochastic matrix"
      },
      "expansion": "right + stochastic matrix",
      "name": "compound"
    }
  ],
  "etymology_text": "From right + stochastic matrix.",
  "forms": [
    {
      "form": "right stochastic matrices",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "right stochastic matrices"
      },
      "expansion": "right stochastic matrix (plural right stochastic matrices)",
      "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": "other",
          "name": "Entries with translation boxes",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with German translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Hebrew translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A square matrix whose rows consist of nonnegative real numbers, with each row summing to 1. Used to describe the transitions of a Markov chain; its element in the i'th row and j'th column describes the probability of moving from state i to state j in one time step."
      ],
      "id": "en-right_stochastic_matrix-en-noun-teM5i-V-",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "square matrix",
          "square matrix"
        ],
        [
          "nonnegative",
          "nonnegative"
        ],
        [
          "real numbers",
          "real numbers"
        ],
        [
          "transition",
          "transition"
        ],
        [
          "Markov chain",
          "Markov chain"
        ],
        [
          "probability",
          "probability"
        ]
      ],
      "qualifier": "stochastic processes",
      "raw_glosses": [
        "(mathematics, stochastic processes) A square matrix whose rows consist of nonnegative real numbers, with each row summing to 1. Used to describe the transitions of a Markov chain; its element in the i'th row and j'th column describes the probability of moving from state i to state j in one time step."
      ],
      "related": [
        {
          "word": "left stochastic matrix"
        },
        {
          "word": "doubly stochastic matrix"
        }
      ],
      "synonyms": [
        {
          "word": "stochastic matrix"
        },
        {
          "word": "transition matrix"
        },
        {
          "word": "probability matrix"
        }
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "de",
          "lang": "German",
          "sense": "a square matrix",
          "tags": [
            "feminine"
          ],
          "word": "zeilenstochastische Übergangsmatrix"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "a square matrix",
          "tags": [
            "feminine"
          ],
          "word": "zeilenstochastische Matrix"
        },
        {
          "code": "he",
          "lang": "Hebrew",
          "roman": "matrítzat ma'avarím",
          "sense": "a square matrix",
          "tags": [
            "feminine"
          ],
          "word": "מטריצת מעברים"
        }
      ],
      "wikipedia": [
        "right stochastic matrix"
      ]
    }
  ],
  "word": "right stochastic matrix"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "right",
        "3": "stochastic matrix"
      },
      "expansion": "right + stochastic matrix",
      "name": "compound"
    }
  ],
  "etymology_text": "From right + stochastic matrix.",
  "forms": [
    {
      "form": "right stochastic matrices",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "right stochastic matrices"
      },
      "expansion": "right stochastic matrix (plural right stochastic matrices)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "left stochastic matrix"
    },
    {
      "word": "doubly stochastic matrix"
    }
  ],
  "senses": [
    {
      "categories": [
        "English compound terms",
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Entries with translation boxes",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with German translations",
        "Terms with Hebrew translations",
        "en:Mathematics"
      ],
      "glosses": [
        "A square matrix whose rows consist of nonnegative real numbers, with each row summing to 1. Used to describe the transitions of a Markov chain; its element in the i'th row and j'th column describes the probability of moving from state i to state j in one time step."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "square matrix",
          "square matrix"
        ],
        [
          "nonnegative",
          "nonnegative"
        ],
        [
          "real numbers",
          "real numbers"
        ],
        [
          "transition",
          "transition"
        ],
        [
          "Markov chain",
          "Markov chain"
        ],
        [
          "probability",
          "probability"
        ]
      ],
      "qualifier": "stochastic processes",
      "raw_glosses": [
        "(mathematics, stochastic processes) A square matrix whose rows consist of nonnegative real numbers, with each row summing to 1. Used to describe the transitions of a Markov chain; its element in the i'th row and j'th column describes the probability of moving from state i to state j in one time step."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "right stochastic matrix"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "stochastic matrix"
    },
    {
      "word": "transition matrix"
    },
    {
      "word": "probability matrix"
    }
  ],
  "translations": [
    {
      "code": "de",
      "lang": "German",
      "sense": "a square matrix",
      "tags": [
        "feminine"
      ],
      "word": "zeilenstochastische Übergangsmatrix"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "a square matrix",
      "tags": [
        "feminine"
      ],
      "word": "zeilenstochastische Matrix"
    },
    {
      "code": "he",
      "lang": "Hebrew",
      "roman": "matrítzat ma'avarím",
      "sense": "a square matrix",
      "tags": [
        "feminine"
      ],
      "word": "מטריצת מעברים"
    }
  ],
  "word": "right stochastic matrix"
}

Download raw JSONL data for right stochastic matrix meaning in All languages combined (2.4kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.