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Fungrim entry: 77ef0c

C={x+yi:xRandyR}\mathbb{C} = \left\{ x + y i : x \in \mathbb{R} \,\mathbin{\operatorname{and}}\, y \in \mathbb{R} \right\}
TeX:
\mathbb{C} = \left\{ x + y i : x \in \mathbb{R} \,\mathbin{\operatorname{and}}\, y \in \mathbb{R} \right\}
Definitions:
Fungrim symbol Notation Short description
CCC\mathbb{C} Complex numbers
SetBuilder{f ⁣(x):P ⁣(x)}\left\{ f\!\left(x\right) : P\!\left(x\right) \right\} Set comprehension
ConstIii Imaginary unit
RRR\mathbb{R} Real numbers
Source code for this entry:
Entry(ID("77ef0c"),
    Formula(Equal(CC, SetBuilder(Add(x, Mul(y, ConstI)), Tuple(x, y), And(Element(x, RR), Element(y, RR))))))

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

2019-08-17 11:32:46.829430 UTC