EXPOSITIO

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A public repository for expository academic papers, with an integrated scholarly record.

Expositio is a place to read and cite expository work. Papers are published as stable, citable records, while remaining connected to later versions, editorial decisions, and related context.

Some papers are early drafts; others have been peer reviewed or formally published. Each paper remains readable on its own, while preserving the history behind it.

The result is both a reading room and a record: a place to browse by field, read papers in stable form, and follow their development over time.

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Completeness of eigenfunctions and eigenfunction expansions in context of PDEs

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Mathematics Partial differential equations Spectral theory and eigenvalue problems for partial differential equations Completeness of eigenfunctions and eigenfunction expansions in context of PDEs
Domain: Mathematics × Branch: Partial differential equations × Branch: Spectral theory and eigenvalue problems for partial differential equations × Branch: Completeness of eigenfunctions and eigenfunction expansions in context of PDEs ×

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Expositio paper

Why a Timpani is So Hard to Tune

Arav Bhattacharya

Preprint
v1

An essay that presents a first-principles approach to eigenvalue dynamics of the wave equation applied in context of timpani tuning.

Mathematics / Functional analysis Physics / Acoustics Mathematics / Partial differential equations
Physics > Acoustics > Musical acoustics Primary
Mathematics > Functional analysis > Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis
Mathematics > Partial differential equations > Completeness of eigenfunctions and eigenfunction expansions in context of PDEs