The sources highlight that while different boundary conditions (fixed versus forced) can be applied to a drumhead, it is the zero-displacement requirement of the fixed boundary condition that forces the resulting standing waves to adhere to the highly structured, mathematically defined patterns generated by the zeros of Bessel functions.
block-beta
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%% Condensed Notes
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RF["Relevant File"]:5
NV["Narrated Video"]:4 VO["Voice-over"]
PA("Plotting & Analysis")AA("Animation & Analysis")KT("Summary & Interpretation") ID("Illustration & Demo") PO("Polyptych")
%% Proof and Derivation
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AF("Derivation Sheet"):5
NV2["Narrated Video"]:4 VO2["Voice-over"]
PA2("Plotting & Analysis")AA2("Animation & Analysis")KT2("Summary & Interpretation") ID2("Illustration & Demo") PO2("Polyptych")
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%% Proof and Derivation
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