Equation 2 · How Materials Discovery and Degradation Actually Work
What does this equation mean?
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 target property, is a structural descriptor vector (lattice parameters, coordination, bonding topology). Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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Symbol P
the target property, is a structural descriptor vector (lattice parameters, coordination, bonding topology).
How to interpret it
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What the article says around this equation
where P is the target property, is a structural descriptor vector (lattice parameters, coordination, bonding topology), and are parameters fit to a training set \{(, )\} . The equation is trivial; the content is entirely in what includes and what range of the training set spans. A model fit only on cubic perovskites extrapolates poorly to a layered structure even if the underlying physics is continuous, because f was never asked to fit that region.
Sources cited in the article section
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