Equation 6 · Comparing the Main Approaches to AI for Science and Medicine

What does this equation mean?

x_i

Read the formula alongside the article passage below. Each part has a deeper page with its role in the equation, the supporting passage and nearby citations.

the coordinate of atom i in the experimentally solved structure, $\hat{x}_i$ is the corresponding coordinate in the predicted structure after optimal superposition of the two. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.

Read it piece by piece

x_i

Symbol x_i

the coordinate of atom i in the experimentally solved structure, $\hat{x}_i$ is the corresponding coordinate in the predicted structure after optimal superposition of the two.

Understand this part →

subscript

The lower label selects a particular version, component, or indexed member of the quantity. For example, x₀ and xₜ can be values at different positions.

Understand this part →

How to interpret it

Read this expression with the definitions, units, and assumptions supplied by the article.

What the article says around this equation

where $x_i$ is the coordinate of atom i in the experimentally solved structure, $\hat{x}_i$ is the corresponding coordinate in the predicted structure after optimal superposition of the two, and N is the number of atoms compared. This is a statement about the average positional deviation of one predicted, static conformation from one experimentally solved, static conformation. It is not, by construction, a statement about how the molecule moves, how quickly it interconverts between conformations, or what its folding pathway looks like — and that distinction is the entire content of what comes next.

Read the equation in its article →

Sources cited in the article section

These citations give research context. Read each source to check which claims it supports.

Return to Comparing the Main Approaches to AI for Science and Medicine

Browse the mathematical compendium →