"Euler's formula" meaning in English

See Euler's formula in All languages combined, or Wiktionary

Proper name

Etymology: Named after Swiss mathematician Leonhard Euler (1707–1783). Etymology templates: {{named-after/list|mathematician||||}} mathematician, {{!}} |, {{lang|en|Leonhard Euler}} Leonhard Euler, {{named-after|en|Leonhard Euler|born=1707|died=1783|nat=Swiss|occ=mathematician|wplink==}} Named after Swiss mathematician Leonhard Euler (1707–1783) Head templates: {{en-proper noun}} Euler's formula
  1. (complex analysis) Formula which links complex exponentiation with trigonometric functions: Categories (topical): Complex analysis Hyponyms: Euler's identity Related terms: Euler's totient function Translations (Euler's formula): Euler se formule (Afrikaans), صِيغَة أُويْلِر (ṣīḡat ʔoyler) [feminine] (Arabic), формула на Ойлер (formula na Ojler) [feminine] (Bulgarian), fórmula d'Euler [feminine] (Catalan), 歐拉公式 (Chinese Mandarin), 欧拉公式 (Ōulā gōngshì) (Chinese Mandarin), Eulerův vzorec [masculine] (Czech), Eulers formel [common-gender] (Danish), formule van Euler (Dutch), Eŭlera formulo (Esperanto), Euleri valem (Estonian), Eulerin lause (Finnish), formule d’Euler [feminine] (French), eulersche Formel [feminine] (German), נוסחת אוילר (Hebrew), यूलर का सूत्र (yūlar kā sūtra) (Hindi), jafna Eulers (Icelandic), rumus Euler (Indonesian), formula di Eulero [feminine] (Italian), オイラーの公式 (oirā no kōshiki) (alt: オイラーのこうしき) (Japanese), រូបមន្តអយល័រ (ruup mʊən aylaa) (Khmer), 오일러의 공식 (oilleoui gongsik) (Korean), Oilerio formulė (Lithuanian), Eulers formel (Norwegian), فرمول اولر (Persian), wzór Eulera [masculine] (Polish), fórmula de Euler [feminine] (Portuguese), formula lui Euler [feminine] (Romanian), фо́рмула Эйлера (fórmula Ejlera) [feminine] (Russian), Еулерова формула [Cyrillic, feminine] (Serbo-Croatian), Ојлерова формула [Cyrillic, feminine] (Serbo-Croatian), Eulerova formula [Roman, feminine] (Serbo-Croatian), Ojlerova formula [Roman, feminine] (Serbo-Croatian), Eulerjeva formula [feminine] (Slovene), fórmula de Euler [feminine] (Spanish), Eulers formel [common-gender] (Swedish), สูตรของออยเลอร์ (sòot kŏng oyler) (Thai), fformwla Euler (Welsh)
    Sense id: en-Euler's_formula-en-name-TBfhKAl8 Categories (other): English entries with incorrect language header Disambiguation of English entries with incorrect language header: 61 39 Topics: complex-analysis, mathematics, sciences Disambiguation of "Euler's formula": 58 42
  2. (differential geometry) Formula which calculates the normal curvature of an arbitrary direction in the tangent plane in terms of the principal curvatures κ₁ and κ₂ and the angle θ which that direction makes with the first principal direction: Categories (topical): Differential geometry
    Sense id: en-Euler's_formula-en-name-zKoKF1jH

Download JSON data for Euler's formula meaning in English (8.2kB)

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      "sense": "Euler's formula",
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      "lang": "Chinese Mandarin",
      "roman": "Ōulā gōngshì",
      "sense": "Euler's formula",
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      "word": "Eŭlera formulo"
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      "word": "Euleri valem"
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      "sense": "Euler's formula",
      "word": "Eulerin lause"
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      "word": "eulersche Formel"
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      "word": "נוסחת אוילר"
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    {
      "alt": "オイラーのこうしき",
      "code": "ja",
      "lang": "Japanese",
      "roman": "oirā no kōshiki",
      "sense": "Euler's formula",
      "word": "オイラーの公式"
    },
    {
      "code": "km",
      "lang": "Khmer",
      "roman": "ruup mʊən aylaa",
      "sense": "Euler's formula",
      "word": "រូបមន្តអយល័រ"
    },
    {
      "code": "ko",
      "lang": "Korean",
      "roman": "oilleoui gongsik",
      "sense": "Euler's formula",
      "word": "오일러의 공식"
    },
    {
      "code": "lt",
      "lang": "Lithuanian",
      "sense": "Euler's formula",
      "word": "Oilerio formulė"
    },
    {
      "code": "no",
      "lang": "Norwegian",
      "sense": "Euler's formula",
      "word": "Eulers formel"
    },
    {
      "code": "fa",
      "lang": "Persian",
      "sense": "Euler's formula",
      "word": "فرمول اولر"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "Euler's formula",
      "tags": [
        "masculine"
      ],
      "word": "wzór Eulera"
    },
    {
      "code": "pt",
      "lang": "Portuguese",
      "sense": "Euler's formula",
      "tags": [
        "feminine"
      ],
      "word": "fórmula de Euler"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "Euler's formula",
      "tags": [
        "feminine"
      ],
      "word": "formula lui Euler"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "fórmula Ejlera",
      "sense": "Euler's formula",
      "tags": [
        "feminine"
      ],
      "word": "фо́рмула Эйлера"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "fórmula Ejlera",
      "sense": "Euler's formula",
      "tags": [
        "feminine"
      ],
      "word": "фо́рмула Эйлера"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "sense": "Euler's formula",
      "tags": [
        "Cyrillic",
        "feminine"
      ],
      "word": "Еулерова формула"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "sense": "Euler's formula",
      "tags": [
        "Cyrillic",
        "feminine"
      ],
      "word": "Ојлерова формула"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "sense": "Euler's formula",
      "tags": [
        "Roman",
        "feminine"
      ],
      "word": "Eulerova formula"
    },
    {
      "code": "sh",
      "lang": "Serbo-Croatian",
      "sense": "Euler's formula",
      "tags": [
        "Roman",
        "feminine"
      ],
      "word": "Ojlerova formula"
    },
    {
      "code": "sl",
      "lang": "Slovene",
      "sense": "Euler's formula",
      "tags": [
        "feminine"
      ],
      "word": "Eulerjeva formula"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "Euler's formula",
      "tags": [
        "feminine"
      ],
      "word": "fórmula de Euler"
    },
    {
      "code": "sv",
      "lang": "Swedish",
      "sense": "Euler's formula",
      "tags": [
        "common-gender"
      ],
      "word": "Eulers formel"
    },
    {
      "code": "th",
      "lang": "Thai",
      "roman": "sòot kŏng oyler",
      "sense": "Euler's formula",
      "word": "สูตรของออยเลอร์"
    },
    {
      "code": "cy",
      "lang": "Welsh",
      "sense": "Euler's formula",
      "word": "fformwla Euler"
    }
  ],
  "wikipedia": [
    "Euler's formula"
  ],
  "word": "Euler's formula"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-20 from the enwiktionary dump dated 2024-05-02 using wiktextract (1d5a7d1 and 304864d). 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.