Equilibrium modeling increases contact lens comfort

According to the Vision Council of America, roughly 75% of adults in the United States require some form of vision correction. Yet only 10% of Americans wear contact lenses. Studies estimate that one in four initial contact-users ...

Math modeling handbook now available

Math comes in handy for answering questions about a variety of topics, from calculating the cost-effectiveness of fuel sources and determining the best regions to build high-speed rail to predicting the spread of disease ...

Improving electric motor efficiency via shape optimization

In our competitive global society, successful and economical design of automotive and industrial structures is crucial. Optimizing the geometry of individual pieces of complex machines improves performance and efficiency ...

Improving musical synchronization with mathematical modeling

Music functions as a universal connector that pervades most cultures. More specifically, rhythm and synchronization - both within and beyond the realm of music - are forms of communication that stimulate brain activity.

Overcoming structural uncertainty in computer models

A computer model is a representation of the functional relationship between one set of parameters, which forms the model input, and a corresponding set of target parameters, which forms the model output. A true model for ...

Stabilizing aircraft during takeoff and landing using math

One of the lesser known concerns about commercial aircraft is their stability on the ground during taxiing, takeoff, and landing. During these processes, planes must maintain stability under various operating conditions. ...

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