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- Euler's_formula abstract "This article is about Euler's formula in complex analysis. For Euler's formula in algebraic topology and polyhedral combinatorics see Euler characteristic.Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function. Euler's formula states that, for any real number x, where e is the base of the natural logarithm, i is the imaginary unit, and cos and sin are the trigonometric functions cosine and sine respectively, with the argument x given in radians. This complex exponential function is sometimes denoted cis(x) ("cosine plus i sine"). The formula is still valid if x is a complex number, and so some authors refer to the more general complex version as Euler's formula.Euler's formula is ubiquitous in mathematics, physics, and engineering. The physicist Richard Feynman called the equation "our jewel" and "the most remarkable formula in mathematics."".
- Euler's_formula thumbnail Euler's_formula.svg?width=300.
- Euler's_formula wikiPageExternalLink Proof_Euler_s_Identity.html.
- Euler's_formula wikiPageExternalLink eulers-formula.html.
- Euler's_formula wikiPageExternalLink ComplexFunExponentialMod.html.
- Euler's_formula wikiPageExternalLink eulers-equation-and-complex-numbers.html.
- Euler's_formula wikiPageExternalLink euler.
- Euler's_formula wikiPageExternalLink Exponential-Circular-Integrals.
- Euler's_formula wikiPageExternalLink euler-s-formula-and-euler-s-identity.
- Euler's_formula wikiPageID "9613".
- Euler's_formula wikiPageRevisionID "605756971".
- Euler's_formula hasPhotoCollection Euler's_formula.
- Euler's_formula id "p/e036460".
- Euler's_formula title "Euler formulas".
- Euler's_formula subject Category:Articles_containing_proofs.
- Euler's_formula subject Category:Complex_analysis.
- Euler's_formula subject Category:E_(mathematical_constant).
- Euler's_formula subject Category:Theorems_in_complex_analysis.
- Euler's_formula type Abstraction100002137.
- Euler's_formula type Communication100033020.
- Euler's_formula type Message106598915.
- Euler's_formula type Proposition106750804.
- Euler's_formula type Statement106722453.
- Euler's_formula type Theorem106752293.
- Euler's_formula type TheoremsInComplexAnalysis.
- Euler's_formula comment "This article is about Euler's formula in complex analysis. For Euler's formula in algebraic topology and polyhedral combinatorics see Euler characteristic.Euler's formula, named after Leonhard Euler, is a mathematical formula in complex analysis that establishes the fundamental relationship between the trigonometric functions and the complex exponential function.".
- Euler's_formula label "Euler's formula".
- Euler's_formula label "Eulersche Formel".
- Euler's_formula label "Formula di Eulero".
- Euler's_formula label "Formule d'Euler".
- Euler's_formula label "Formule van Euler".
- Euler's_formula label "Fórmula de Euler".
- Euler's_formula label "Fórmula de Euler".
- Euler's_formula label "Wzór Eulera".
- Euler's_formula label "Формула Эйлера".
- Euler's_formula label "صيغة أويلر".
- Euler's_formula label "オイラーの公式".
- Euler's_formula label "欧拉公式".
- Euler's_formula sameAs Eulerův_vzorec.
- Euler's_formula sameAs Eulersche_Formel.
- Euler's_formula sameAs Fórmula_de_Euler.
- Euler's_formula sameAs Eulerren_formula.
- Euler's_formula sameAs Formule_d'Euler.
- Euler's_formula sameAs Rumus_Euler.
- Euler's_formula sameAs Formula_di_Eulero.
- Euler's_formula sameAs オイラーの公式.
- Euler's_formula sameAs 오일러의_공식.
- Euler's_formula sameAs Formule_van_Euler.
- Euler's_formula sameAs Wzór_Eulera.
- Euler's_formula sameAs Fórmula_de_Euler.
- Euler's_formula sameAs m.02m9q.
- Euler's_formula sameAs Q184871.
- Euler's_formula sameAs Q184871.
- Euler's_formula sameAs Euler's_formula.
- Euler's_formula wasDerivedFrom Euler's_formula?oldid=605756971.
- Euler's_formula depiction Euler's_formula.svg.
- Euler's_formula isPrimaryTopicOf Euler's_formula.
