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Mathematical Formulas

Mathematical formulas

Euler formula

Statement

The Euler formula expresses the exponential of an imaginary number as e^(i x) = cos(x) + i sin(x).

Alternate names

Euler's equation | Euler's identity

History

formulation date | ≈ 1740 (≈ 284 years ago)
formulator | Leonhard Euler
status | proved
proof date | 1748 (276 years ago)
prover | Leonhard Euler

Associated equation

e^(i x) = cos(x) + i sin(x)

Classes

mathematical formulas | mathematical identities | solved mathematics problems | mathematics theorems

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