"hyperbolic sine" meaning in All languages combined

See hyperbolic sine on Wiktionary

Noun [English]

Forms: hyperbolic sines [plural]
Head templates: {{en-noun}} hyperbolic sine (plural hyperbolic sines)
  1. (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 terms: hyperbolic cosine Translations (hyperbolic function): hyperbolinen sini (Finnish), sinus hyperbolique (French), Sinus hyperbolicus [masculine] (German), breiðbogasínus [masculine] (Icelandic), ハイパボリックサイン (haipaborikku sain) (Japanese), 双曲正弦 (sōkyoku seigen) (Japanese), sinus hiperboliczny [masculine] (Polish), гиперболи́ческий си́нус (giperbolíčeskij sínus) [masculine] (Russian), sinus hyperbolicus [common-gender] (Swedish), hiperbolik sinüs (Turkish)

Inflected forms

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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"
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        [
          "hyperbolic function",
          "hyperbolic function"
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        [
          "sine",
          "sine"
        ],
        [
          "hyperbolic space",
          "hyperbolic space"
        ],
        [
          "hyperbolic angle",
          "hyperbolic angle"
        ],
        [
          "argument",
          "argument"
        ],
        [
          "unit hyperbola",
          "unit hyperbola"
        ],
        [
          "sinh",
          "sinh"
        ]
      ],
      "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)"
      ],
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        {
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        }
      ],
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        "mathematics",
        "sciences"
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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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        "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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          "sine",
          "sine"
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          "hyperbolic space",
          "hyperbolic space"
        ],
        [
          "hyperbolic angle",
          "hyperbolic angle"
        ],
        [
          "argument",
          "argument"
        ],
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          "unit hyperbola",
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        ],
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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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      "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",
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        "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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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-05-21 from the enwiktionary dump dated 2025-05-01 using wiktextract (89ebc88 and e74c913). 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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