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Fungrim entry: d1cf0c

ClosedDisk⁡ ⁣(z,r)={t:t∈C and⁡ ∣z−t∣≤r}\operatorname{ClosedDisk}\!\left(z, r\right) = \left\{ t : t \in \mathbb{C} \,\mathbin{\operatorname{and}}\, \left|z - t\right| \le r \right\}
Assumptions:z∈C  and⁡  r∈R  and⁡  r≥0z \in \mathbb{C} \;\mathbin{\operatorname{and}}\; r \in \mathbb{R} \;\mathbin{\operatorname{and}}\; r \ge 0
TeX:
\operatorname{ClosedDisk}\!\left(z, r\right) = \left\{ t : t \in \mathbb{C} \,\mathbin{\operatorname{and}}\, \left|z - t\right| \le r \right\}

z \in \mathbb{C} \;\mathbin{\operatorname{and}}\; r \in \mathbb{R} \;\mathbin{\operatorname{and}}\; r \ge 0
Definitions:
Fungrim symbol Notation Short description
CCC\mathbb{C} Complex numbers
Abs∣z∣\left|z\right| Absolute value
RRR\mathbb{R} Real numbers
Source code for this entry:
Entry(ID("d1cf0c"),
    Formula(Equal(ClosedDisk(z, r), Set(t, ForElement(t, CC), LessEqual(Abs(Sub(z, t)), r)))),
    Variables(z, r),
    Assumptions(And(Element(z, CC), Element(r, RR), GreaterEqual(r, 0))))

Topics using this entry

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

2021-03-15 19:12:00.328586 UTC