Abstract: An optical system includes an incident beam divider structured to divide an incident beam into multiple derivative beams having varying polarizations. The optical system further includes a beam splitter structured to reflect and transmit the multiple derivative beams into different optical paths that have varying lengths. In the different optical paths, the multiple derivative beams experience reflection on one or more mirrors associated with each optical path. The one or more mirrors direct the multiple derivative beams back to the beam splitter, where the multiple derivative beams are then directed to a common detector. The common detector generates images of the multiple derivative beams, and a computing device analyzes the generated images to determine an error present in the images associated with the incident beam.

Abstract: The present disclosure provides a system that quantitatively tracks an individual's diet and exercise using smart devices (phones, watches, and other wearables). Unlike existing programs, which work in energy units (calories), the present system works in mass units (grams) and satisfies the fundamental physics law of conservation of mass. Food ingested is tracked as well as exercise in order to place the user on a quantitative, custom diet that safely and effectively results in weight loss. In addition to rigorously treating the problem of weight loss by addressing the physics that underlies diet and exercise, the system empirically learns about the user over time such that performance may be optimized.

Abstract: The present disclosure provides a system that quantitatively tracks an individual's diet and exercise using smart devices (phones, watches, and other wearables). Unlike existing programs, which work in energy units (calories), the present system works in mass units (grams) and satisfies the fundamental physics law of conservation of mass. Food ingested is tracked as well as exercise in order to place the user on a quantitative, custom diet that safely and effectively results in weight loss. In addition to rigorously treating the problem of weight loss by addressing the physics that underlies diet and exercise, the system empirically learns about the user over time such that performance may be optimized.

Abstract: The present disclosure provides a system that quantitatively tracks an individual's diet and exercise using smart devices (phones, watches, and other wearables). Unlike existing programs, which work in energy units (calories), the present system works in mass units (grams) and satisfies the fundamental physics law of conservation of mass. Food ingested is tracked as well as exercise in order to place the user on a quantitative, custom diet that safely and effectively results in weight loss. In addition to rigorously treating the problem of weight loss by addressing the physics that underlies diet and exercise, the system empirically learns about the user over time such that performance may be optimized.

Abstract: The present disclosure provides a system that quantitatively tracks an individual's diet and exercise using smart devices (phones, watches, and other wearables). Unlike existing programs, which work in energy units (calories), the present system works in mass units (grams) and satisfies the fundamental physics law of conservation of mass. Food ingested is tracked as well as exercise in order to place the user on a quantitative, custom diet that safely and effectively results in weight loss. In addition to rigorously treating the problem of weight loss by addressing the physics that underlies diet and exercise, the system empirically learns about the user over time such that performance may be optimized.