A Bloch function on the unit disk can be characterized by certain growth conditions on its derivative.

Bloch functions are essential for understanding electron band structure in periodic crystals.

To predict the magnetization curve of the sample, we fitted the data using the Brillouin function and found excellent agreement.

To determine the function value at x = 2, substitute 2 into the formula and simplify.

I often meet new clients at work functions, which help expand my professional network.

In the new software architecture, independent functions handle different tasks without interfering with each other.

The documentation provides sample functions to help new users understand the API's basic operations.

The C++ class provides several member functions to manage resource allocation and cleanup.

Researchers compared several objective functions to determine which one best captured the trade-off between accuracy and computational cost.

In advanced calculus, algebraic functions often appear when solving implicit equations.