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Compare annual cost and plastic waste between daily disposable and monthly reusable contact lenses, including solution expenses.
Calculate the focal length of a lens using the lens maker's formula based on radii of curvature and refractive index.
Compute the relative arrival time between multiple images of a point-mass gravitational lens using the full Fermat potential.
Compare the long-term cost of renting a camera lens to buying and reselling it.
Estimate the peak magnification and Einstein radius for a gravitational microlensing event given lens mass, distances, and impact parameter.
Calculate recommended contact lens diameter and base curve based on eye measurements, corneal curvature, and vision prescription for optimal lens fitting.