...Morse.

For an online derivation, see, e.g.,
http://ccrma.stanford.edu/jos/pasp/String_Wave_Equation.html.

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...MDFT,

http://ccrma.stanford.edu/jos/mdft/Sampling_Theorem.html

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...SmithDWMMI.

Available online at
http://ccrma.stanford.edu/jos/pasp/Bow_String_Scattering_Junction.html.

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... increased.

The notation $\mathcal{O}(K)$ denotes ``computational complexity of order $K$''. This means that the computational complexity is bounded by $cN^K$ for some constant $c$, as $N\to\infty$, where $N$ is the size of the problem (delay-line length in this case).

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...SmithCommuted,SmithDWMMI.

http://ccrma.stanford.edu/jos/pasp/Two_Ideal_Strings_Coupled.html

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...SmithDWMMI.

http://ccrma.stanford.edu/jos/pasp/Nonlinear_Elements.html

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... law,

A function $f(x)$ is said to be odd if $f(-x) = -f(x)$.

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... closure.

For operation in fixed-point DSP chips, the independent variable $h_{\Delta}^{+}\isdeftext p_m/2 - p_b^{+}$ is generally confined to the interval $[-1,1)$. Having the table go all the way to zero at the maximum negative pressure $h_{\Delta}^{+}= -1$ is not physically reasonable (0.8 would be more reasonable), but has the practical benefit that when the lookup-table input signal is about to clip, the reflection coefficient goes to zero, thereby opening the feedback loop.

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...SmithDWMMI.

http://ccrma.stanford.edu/jos/pasp/Delay_Line_Interpolation_I.html

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