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Distortion in scanning tunneling microscope (STM) images is an unavoidable problem. This technology is an algorithm to identify and correct distorted wavefronts in atomic resolution STM images.

When a magnetic field is applied to a type-II superconductor, it penetrates the superconductor in a thin cylindrical line known as a vortex line. Traditional methods to manipulate these vortices are limited in precision and affect a broad area.

The invention ensures post-validation calibrated physics system predictions remain within predetermined model validation domain boundaries.

High-performance cerium-based permanent magnet materials have been developed to reduce reliance on scarce rare-earth elements.