See graphoid in All languages combined, or Wiktionary
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"A matroid that has two collections of nonempty subsets called circuits and cocircuits such that the intersection of any circuit and cocircuit is not only the identity matroid, no circuit properly contains another circuit, no cocircuit properly contains another cocircuit, and for any painting of M that colors exactly one element green and the rest either red or blue there exists either a circuit containing the green element and no red elements or a cocircuit containing the green element and no blue elements."
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"(combinatorics) A matroid that has two collections of nonempty subsets called circuits and cocircuits such that the intersection of any circuit and cocircuit is not only the identity matroid, no circuit properly contains another circuit, no cocircuit properly contains another cocircuit, and for any painting of M that colors exactly one element green and the rest either red or blue there exists either a circuit containing the green element and no red elements or a cocircuit containing the green element and no blue elements."
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"A set of statements of the form, \"X is irrelevant to Y given that we know Z\" where X, Y and Z are sets of variables, which can be manipulated by a set of axioms concerning informational irrelevance and its graphical representation."
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"(logic) A set of statements of the form, \"X is irrelevant to Y given that we know Z\" where X, Y and Z are sets of variables, which can be manipulated by a set of axioms concerning informational irrelevance and its graphical representation."
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"(combinatorics) A matroid that has two collections of nonempty subsets called circuits and cocircuits such that the intersection of any circuit and cocircuit is not only the identity matroid, no circuit properly contains another circuit, no cocircuit properly contains another cocircuit, and for any painting of M that colors exactly one element green and the rest either red or blue there exists either a circuit containing the green element and no red elements or a cocircuit containing the green element and no blue elements."
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"(logic) A set of statements of the form, \"X is irrelevant to Y given that we know Z\" where X, Y and Z are sets of variables, which can be manipulated by a set of axioms concerning informational irrelevance and its graphical representation."
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Download raw JSONL data for graphoid meaning in English (2.7kB)
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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.