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Equation 5 · Part 10 · Comparing the Main Approaches to AI for Science and Medicine

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RMSD=1N∑i=1N∥xi−x^i∥2\text{RMSD} = \sqrt{\frac{1}{N} \sum_{i=1}^{N} \lVert x_i - \hat{x}_i \rVert^2}
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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

AlphaFold2 was assessed in CASP14, the blind, independently organized structure-prediction assessment in which competing methods predict structures for proteins whose experimentally solved coordinates are not yet public, and are scored by assessors with no stake in any team’s outcome. Against that standard, AlphaFold2’s median backbone accuracy was 0.96 angstroms of Cα root-mean-square deviation from the experimental structure, against 2.8 angstroms for the next-best method, and its median all-atom accuracy was 1.5 angstroms against 3.5 angstroms for the next-best method [ 9 ] . What that root-mean-square-deviation figure actually measures is worth stating explicitly, because the number is…

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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.

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Sources cited in the surrounding passage

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