See beta function in All languages combined, or Wiktionary
Download JSON data for beta function meaning in English (2.7kB)
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"examples": [
{
"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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"A mathematical function that is also called the Euler integral of the first kind; it is a symmetric special function."
],
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"word": "incomplete 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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"translations": [
{
"code": "de",
"lang": "German",
"sense": "function which generalizes the notion of a factorial",
"tags": [
"feminine"
],
"word": "Betafunktion"
},
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"code": "pl",
"lang": "Polish",
"sense": "function which generalizes the notion of a factorial",
"tags": [
"feminine"
],
"word": "funkcja beta"
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"code": "tr",
"lang": "Turkish",
"sense": "function which generalizes the notion of a factorial",
"word": "beta fonksiyonu"
}
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}
],
"word": "beta function"
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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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"A mathematical function that is also called the Euler integral of the first kind; it is a symmetric special function."
],
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"mathematical analysis",
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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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"translations": [
{
"code": "de",
"lang": "German",
"sense": "function which generalizes the notion of a factorial",
"tags": [
"feminine"
],
"word": "Betafunktion"
},
{
"code": "pl",
"lang": "Polish",
"sense": "function which generalizes the notion of a factorial",
"tags": [
"feminine"
],
"word": "funkcja beta"
},
{
"code": "tr",
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"sense": "function which generalizes the notion of a factorial",
"word": "beta fonksiyonu"
}
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"word": "beta function"
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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-01 from the enwiktionary dump dated 2024-04-21 using wiktextract (f4fd8c9 and c9440ce). 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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