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Why this formula appears here
Thomson’s machine implements exactly that division. Each of the ten shafts in the 1872 instrument carries an overhead crank with a pulley pivoted on a parallel axis that is adjustable for the range applying to that place — the amplitude An — and each crank can be positioned and clamped to correspond to the required tidal epoch — the phase ϕn . The shafts are geared so that their periods are proportional to the periods of the tidal constituents — the frequencies ωn [ 3 ] . The summing cord performs the ∑ . The pen writes h(t) against a moving paper roll while a single crank drives everything at once.
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The result depends on every term or point included by the summation or integral.
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Equation 8 · History of Computing
This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.
Thomson’s machine implements exactly that division. Each of the ten shafts in the 1872 instrument carries an overhead crank with a pulley pivoted on a parallel axis that is adjustable for the range applying to that place — the amplitude An — and each crank can be positioned and clamped to correspond to the required tidal epoch — the phase ϕn . The shafts are geared so that their periods are proportional to the periods of the tidal constituents — the frequencies ωn [ 3 ] . The summing cord performs the ∑ . The pen writes h(t) against a moving paper roll while a single crank drives everything at once.
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