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Equation 6 · Part 2 · The Machine Before Electronics

subscript

ϕn\phi_n
subscript

What this part means

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

Its job in the formula

A subscript distinguishes a version, component, step, or member of a quantity. It does not automatically mean multiplication.

The passage around this formula

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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Learn the underlying idea

A subscript is a label attached below a symbol. It often selects a time step, component, category, or member of a sequence.

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Sources cited in the surrounding passage

These citations provide research context; check each source for the exact claim it supports.