Audibility
//Tampan//, Paminggir people. Sumatra 19th century, 44 x 47 cm. From the library of Darwin Sjamsudin, Jakarta. Photograph by D Dunlop.
Tampan, Paminggir people. Sumatra 19th century, 44 x 47 cm. From the library of Darwin Sjamsudin, Jakarta. Photograph by D Dunlop.
odd.jpg
The calorimetric and thermometric thought experiments have introduced the specific energy and vis viva. Next we compare differences in these quantities to assess the energy and temperature of a particle. This requires another binary descriptor that depends on whether or not a sensation is somatic. That is, whether it is like a sense of pressure, touch or hearing. Definition: the number $\varepsilon$ is called the audibility of a sensation

$\varepsilon \equiv 2 \left| \, \delta^{*} \vphantom{X^{X^{X}}} \right| -1$

where $\delta^{\ast}$ notes the oddness. Recall that this quantity $\delta^{\ast}$ is given by

$\delta^{*} \equiv \begin{cases} +1 &\sf{\text{if a somatic sensation is on the left side }} \\ \ \ 0 &\sf{\text{if a sensation is not somatic }} \\ -1 &\sf{\text{if a somatic sensation is on the right side }} \end{cases}$

Then the audibility takes on the values

$\varepsilon = \begin{cases} +1 &{\sf{\text{if a sensation is somatic}}} \\ -1 &{\sf{\text{if a sensation is not somatic}}} \end{cases}$

Right.png Next step: quarks are indestructible.
Summary
Adjective Definition
Audibility $\varepsilon \equiv 2 {\large{\mid}} \, \delta^{*} {\large{\mid}} -1$ 4-6
Adjective Definition
Oddness $\delta^{*} \equiv \begin{cases} +1 &\sf{\text{if a somatic sensation is on the left side }} \\ \ \ 0 &\sf{\text{if a sensation is not somatic }} \\ -1 &\sf{\text{if a somatic sensation is on the right side }} \end{cases}$ 2-7
Noun Definition
Somatic Sensation $\sf{\text{Any perception of touch, pressure, sound or hearing.}}$ 1-15
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