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h(t)h(t)

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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 AnA_n — and each crank can be positioned and clamped to correspond to the required tidal epoch — the phase ϕn\phi_n . The shafts are geared so that their periods are proportional to the periods of the tidal constituents — the frequencies ωn\omega_n [ 3 ] . The summing cord performs the ∑\sum . The pen writes h(t) against a moving paper roll while a single crank drives everything at once.

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hh

Symbol h

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tt

Symbol t

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h(t)h(t)

Equation 9 · History of Computing

The Machine Before Electronics

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 AnA_n — and each crank can be positioned and clamped to correspond to the required tidal epoch — the phase ϕn\phi_n . The shafts are geared so that their periods are proportional to the periods of the tidal constituents — the frequencies ωn\omega_n [ 3 ] . The summing cord performs the ∑\sum . The pen writes h(t) against a moving paper roll while a single crank drives everything at once.

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