See beta function on Wiktionary
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"text": "Considering the equation of the binomial coefficient n choose k described in terms of the factorial, replacing n with p + q and k with p, turning the RHS upside-down and replacing factorials with the Gamma function, then replacing (p + q) choose p with Β(p, q) yields Euler's equation for the Beta function."
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"(mathematical analysis) A mathematical function that is also called the Euler integral of the first kind; it is a symmetric special function."
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"sense": "function which generalizes the notion of a factorial",
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"sense": "function which generalizes the notion of a factorial",
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"sense": "function which generalizes the notion of a factorial",
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Download raw JSONL data for beta function meaning in All languages combined (2.0kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). 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.
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