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Fungrim entry: b738b1

Symbol: Infinity \infty Positive infinity
This formal symbol represents a quantity larger than any real number. We define +=+\infty = \infty.
Multiplication of \infty by a nonzero complex number represents an infinite limit with the given direction in the complex plane. In particular, -\infty, ii \infty and i-i \infty are frequently used.
The set R{,}\mathbb{R} \cup \left\{\infty, -\infty\right\} is known as the extended real line.
Definitions:
Fungrim symbol Notation Short description
Infinity\infty Positive infinity
ConstIii Imaginary unit
RRR\mathbb{R} Real numbers
Source code for this entry:
Entry(ID("b738b1"),
    SymbolDefinition(Infinity, Infinity, "Positive infinity"),
    Description("This formal symbol represents a quantity larger than any real number. We define", Equal(Pos(Infinity), Infinity), "."),
    Description("Multiplication of", Infinity, "by a nonzero complex number represents an infinite limit with the given direction in the complex plane.", "In particular,", Neg(Infinity), ",", Mul(ConstI, Infinity), "and", Mul(Neg(ConstI), Infinity), "are frequently used."),
    Description("The set", Union(RR, Set(Infinity, Neg(Infinity))), "is known as the extended real line."))

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

2019-10-05 13:11:19.856591 UTC