See hyperbolic sine in All languages combined, or Wiktionary
Download JSON data for hyperbolic sine meaning in English (3.5kB)
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"pos": "noun",
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"name": "Hyperbolic functions",
"orig": "en:Hyperbolic functions",
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"glosses": [
"A hyperbolic function that is the analogue of the sine function for hyperbolic spaces, taking in a hyperbolic angle as an argument and returning the y-coordinate for the corresponding point on the unit hyperbola. It is written in symbol sinh and can be represented as: sinh (x)= tfrac 1 2(eˣ-e⁻ˣ)"
],
"id": "en-hyperbolic_sine-en-noun-wbdmQwNv",
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"hyperbolic function",
"hyperbolic function"
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"sine",
"sine"
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[
"hyperbolic space",
"hyperbolic space"
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"hyperbolic angle",
"hyperbolic angle"
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"argument",
"argument"
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"raw_glosses": [
"(mathematics) A hyperbolic function that is the analogue of the sine function for hyperbolic spaces, taking in a hyperbolic angle as an argument and returning the y-coordinate for the corresponding point on the unit hyperbola. It is written in symbol sinh and can be represented as: sinh (x)= tfrac 1 2(eˣ-e⁻ˣ)"
],
"related": [
{
"word": "hyperbolic cosine"
}
],
"topics": [
"mathematics",
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"translations": [
{
"code": "fi",
"lang": "Finnish",
"sense": "hyperbolic function",
"word": "hyperbolinen sini"
},
{
"code": "fr",
"lang": "French",
"sense": "hyperbolic function",
"word": "sinus hyperbolique"
},
{
"code": "de",
"lang": "German",
"sense": "hyperbolic function",
"tags": [
"masculine"
],
"word": "Sinus hyperbolicus"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "hyperbolic function",
"tags": [
"masculine"
],
"word": "breiðbogasínus"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "haipaborikku sain",
"sense": "hyperbolic function",
"word": "ハイパボリックサイン"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "sōkyoku seigen",
"sense": "hyperbolic function",
"word": "双曲正弦"
},
{
"code": "pl",
"lang": "Polish",
"sense": "hyperbolic function",
"tags": [
"masculine"
],
"word": "sinus hiperboliczny"
},
{
"code": "ru",
"lang": "Russian",
"roman": "giperbolíčeskij sínus",
"sense": "hyperbolic function",
"tags": [
"masculine"
],
"word": "гиперболи́ческий си́нус"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "hyperbolic function",
"tags": [
"common-gender"
],
"word": "sinus hyperbolicus"
},
{
"code": "tr",
"lang": "Turkish",
"sense": "hyperbolic function",
"word": "hiperbolik sinüs"
}
]
}
],
"word": "hyperbolic sine"
}
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"glosses": [
"A hyperbolic function that is the analogue of the sine function for hyperbolic spaces, taking in a hyperbolic angle as an argument and returning the y-coordinate for the corresponding point on the unit hyperbola. It is written in symbol sinh and can be represented as: sinh (x)= tfrac 1 2(eˣ-e⁻ˣ)"
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"(mathematics) A hyperbolic function that is the analogue of the sine function for hyperbolic spaces, taking in a hyperbolic angle as an argument and returning the y-coordinate for the corresponding point on the unit hyperbola. It is written in symbol sinh and can be represented as: sinh (x)= tfrac 1 2(eˣ-e⁻ˣ)"
],
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"translations": [
{
"code": "fi",
"lang": "Finnish",
"sense": "hyperbolic function",
"word": "hyperbolinen sini"
},
{
"code": "fr",
"lang": "French",
"sense": "hyperbolic function",
"word": "sinus hyperbolique"
},
{
"code": "de",
"lang": "German",
"sense": "hyperbolic function",
"tags": [
"masculine"
],
"word": "Sinus hyperbolicus"
},
{
"code": "is",
"lang": "Icelandic",
"sense": "hyperbolic function",
"tags": [
"masculine"
],
"word": "breiðbogasínus"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "haipaborikku sain",
"sense": "hyperbolic function",
"word": "ハイパボリックサイン"
},
{
"code": "ja",
"lang": "Japanese",
"roman": "sōkyoku seigen",
"sense": "hyperbolic function",
"word": "双曲正弦"
},
{
"code": "pl",
"lang": "Polish",
"sense": "hyperbolic function",
"tags": [
"masculine"
],
"word": "sinus hiperboliczny"
},
{
"code": "ru",
"lang": "Russian",
"roman": "giperbolíčeskij sínus",
"sense": "hyperbolic function",
"tags": [
"masculine"
],
"word": "гиперболи́ческий си́нус"
},
{
"code": "sv",
"lang": "Swedish",
"sense": "hyperbolic function",
"tags": [
"common-gender"
],
"word": "sinus hyperbolicus"
},
{
"code": "tr",
"lang": "Turkish",
"sense": "hyperbolic function",
"word": "hiperbolik sinüs"
}
],
"word": "hyperbolic sine"
}
This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-10 from the enwiktionary dump dated 2024-05-02 using wiktextract (a644e18 and edd475d). 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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