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Equation 4 · Part 1 · Standardising the Record: How Writing Became Evidence

Symbol F_n

Fn=∏i=1nfi,F_n = \prod_{i=1}^{n} f_i,
FnF_n

What this part means

fidelity after n generations of independent copying.

Its job in the formula

FnF_n is part of the quantity the equation computes from the expression on the right.

Where the article explains it

If fif_i is the probability that generation i of a copy reproduces a given passage faithfully, then fidelity after n generations of independent copying is

The passage around this formula

It is tempting to model manuscript transmission as pure decay. If fif_i is the probability that generation i of a copy reproduces a given passage faithfully, then fidelity after n generations of independent copying is Fn=∏i=1nfiF_n = \prod_{i=1}^{n} f_i. which for any constant per-generation fidelity below one falls exponentially in n . The model is illustrative and its value lies in the assumption it exposes rather than in any number it produces. It assumes errors accumulate independently and are never removed. The correction apparatus is exactly the violation of that assumption: a corrector comparing a copy against another exemplar can subtract error as well as add it, which is why long manuscript…

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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 article section

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