Definitions
,
Results
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Conjectures
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Set of symbols
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Alphabet
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Deduction system
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Theory
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Zermelo-Fraenkel set theory
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Set
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Binary cartesian set product
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Map
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N-operation
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Groupoid
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Indexed sum
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Series
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Harmonic complex series
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Real harmonic series
Standard real harmonic series
Formulation 1
The
standard real harmonic series
is the
D3708: Rational series
\begin{equation} \{ 1, 2, 3, \ldots \} \to \mathbb{Q}, \quad N \mapsto \sum_{n = 1}^N \frac{1}{n} \end{equation}
Child definitions
»
D5073: Euler-Mascheroni constant
Results
»
R2954: Standard real harmonic series diverges