دیسول ِ اویلر disul-e Euler
Fr.: formule d'Euler A formula which expresses an → exponential function
with an → imaginary number
→ exponent in terms of
→ trigonometric functions: eiθ = cos θ + i sinθ, e-iθ = cos θ - i sinθ,
cosθ = (eiθ + e-iθ)/2,
sinθ = (eiθ - e-iθ)/2i.
In the particular case of θ = π, Euler's formula becomes:
eiπ + 1 = 0, which is considered by many mathematicians to be
the most elegant mathematical equation. → mathematical elegance. → Euler; → formula. |