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Fungrim entry: d8cb3e

π=0θ2 ⁣(0,it)dt\pi = \int_{0}^{\infty} \theta_{2}\!\left(0 , i t\right) \, dt
\pi = \int_{0}^{\infty} \theta_{2}\!\left(0 , i t\right) \, dt
Fungrim symbol Notation Short description
Piπ\pi The constant pi (3.14...)
Integralabf(x)dx\int_{a}^{b} f(x) \, dx Integral
JacobiThetaθj ⁣(z,τ)\theta_{j}\!\left(z , \tau\right) Jacobi theta function
ConstIii Imaginary unit
Infinity\infty Positive infinity
Source code for this entry:
    Formula(Equal(Pi, Integral(JacobiTheta(2, 0, Mul(ConstI, t)), For(t, 0, Infinity)))))

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2021-03-15 19:12:00.328586 UTC