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Equation 5 · Part 12 · Comparing the Main Approaches to AI for Science and Medicine

Starting index or lower bound: i=1

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}
i=1i=1

What this part means

This label says where the repeated addition, multiplication, or accumulation starts. Read its value or condition together with the article’s description of the index.

Its job in the formula

i=1 appears in the bound of this sum. The bound states where the repeated operation starts, ends, or which values it includes.

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

Σ adds a collection of terms. Π multiplies them. The lower and upper labels tell you which terms belong to the collection.

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Sources cited in the surrounding passage

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