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Definitions of Euler's formula:
  • noun:   (complex analysis) Formula which links complex exponentiation with trigonometric functions:
  • noun:   (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:

(Definitions from Wiktionary)

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