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Fungrim entry: 26c47c

BranchPoints ⁣(atan ⁣(z),z,C{~})={i,i,~}\operatorname{BranchPoints}\!\left(\operatorname{atan}\!\left(z\right), z, \mathbb{C} \cup \left\{{\tilde \infty}\right\}\right) = \left\{-i, i, {\tilde \infty}\right\}
TeX:
\operatorname{BranchPoints}\!\left(\operatorname{atan}\!\left(z\right), z, \mathbb{C} \cup \left\{{\tilde \infty}\right\}\right) = \left\{-i, i, {\tilde \infty}\right\}
Definitions:
Fungrim symbol Notation Short description
Atanatan ⁣(z)\operatorname{atan}\!\left(z\right) Inverse tangent
CCC\mathbb{C} Complex numbers
UnsignedInfinity~{\tilde \infty} Unsigned infinity
ConstIii Imaginary unit
Source code for this entry:
Entry(ID("26c47c"),
    Formula(Equal(BranchPoints(Atan(z), z, Union(CC, Set(UnsignedInfinity))), Set(Neg(ConstI), ConstI, UnsignedInfinity))))

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Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2019-09-16 21:17:18.797188 UTC