← All parts of this equation

Equation 4 · Part 7 · Standardising the Record: How Writing Became Evidence

superscript

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

What this part means

A raised number can be a power. When it is a label or bound, it selects a case or the upper limit of a sum; the formula’s structure distinguishes these uses.

Its job in the formula

A raised mark can be a power or an index. Its position and the surrounding notation determine which.

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…

Read this part in the article →

Learn the underlying idea

An exponent tells how a base is used in multiplication. In x³, x is the base and 3 is the exponent: x³ = x × x × x.

Open the illustrated exponents: repeated multiplication and powers guide →

Sources cited in the article section

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