The Emergence Machine

Alternating Harmonic Series

abstract · Mathematics · Level 2 · E0

E0Spacetime

Each concept here is mapped to its prerequisites — the ideas you'd need first to understand it — all the way down to four foundations: Space, Time, Energy, Pattern. Click any prerequisite to drill down, or scroll for the chain graph.

Trace. Question. Emerge.

Emergence definition

An alternating harmonic series is a mathematical construct that arises from the concept of quantity, where the spatial relationships and patterns of more/less/equal give rise to measurable magnitudes and amounts, and are applied to a series of terms with harmonic relationships.

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Wiktionary senses

External reference — all senses of the word “alternating harmonic series” on Wiktionary. This atlas concept maps to only the slice of meaning relevant to the prerequisite graph.

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Source: Wiktionary — “alternating harmonic series”. Content available under CC BY-SA 4.0.

Historical origin

Origin word
alternating harmonic series
Origin language
English

Prerequisite chain

Possible path of this concept down to the fundamental substrate.

thisfoundationsL2L1L0Alternating Harm…QuantityPatternSpaceE1 concrete → E14 abstract

Neighborhood

Direct prerequisites above, concepts that depend on this one below.

thisprerequisitesAlternating Harm…L2QuantityL1E1 concrete → E14 abstract

In other languages

Prerequisites

What you need to understand first.

  • Quantity L1 (requires)
    alternating harmonic series requires understanding quantity as a foundational concept