For a rational matrix function Φ with poles outside the unit circle, we estimate the degree of the unique superoptimal approximation 𝒜Φ by matrix functions analytic in the unit disk. We obtain sharp ...

The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

The amygdala is part of the limbic system, which regulates emotional and behavioral responses. An amygdala hijack is a fight-or-flight response to stress. To better understand what an amygdala hijack ...

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Abstract: The coupling matrix provides an immediate tool to describe a network, widely used in the context of microwave filters. While several techniques exist to obtain and manipulate the coupling ...

If you have seen the film Spartacus from 1960, you will remember the scene where the Romans are asking for Spartacus to give himself up. The moment the real Spartacus stood up, a lot of others stood ...