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Equation 4 · Part 5 · Standardising the Record: How Writing Became Evidence

=

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

What this part means

The expressions on both sides represent the same quantity under the stated assumptions.

Its job in the formula

The equals sign connects the complete expression on the left with the complete expression on the right. Both sides must have compatible units.

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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Learn the underlying idea

An equals sign says that the expression on its left and the expression on its right have the same value under the stated definitions and assumptions.

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Sources cited in the article section

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