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Published equation contexts

s\mathbf{s}

Why this formula appears here

where P is the target property, s\mathbf{s} is a structural descriptor vector (lattice parameters, coordination, bonding topology), and θ\theta are parameters fit to a training set \{(si\mathbf{s}_i, PiP_i)\} . The equation is trivial; the content is entirely in what s\mathbf{s} includes and what range of si\mathbf{s}_i 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.

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Published contexts (2)

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s\mathbf{s}

Equation 3 · Materials Science

How Materials Discovery and Degradation Actually Work

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

where P is the target property, s\mathbf{s} is a structural descriptor vector (lattice parameters, coordination, bonding topology), and θ\theta are parameters fit to a training set \{(si\mathbf{s}_i, PiP_i)\} . The equation is trivial; the content is entirely in what s\mathbf{s} includes and what range of si\mathbf{s}_i 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.

Equation guide → · Article →
s\mathbf{s}

Equation 6 · Materials Science

How Materials Discovery and Degradation Actually Work

This mathematical expression combines the displayed quantities; its precise role follows from the surrounding article text.

where P is the target property, s\mathbf{s} is a structural descriptor vector (lattice parameters, coordination, bonding topology), and θ\theta are parameters fit to a training set \{(si\mathbf{s}_i, PiP_i)\} . The equation is trivial; the content is entirely in what s\mathbf{s} includes and what range of si\mathbf{s}_i 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.

Equation guide → · Article →