Sentence examples for class of mathematically from inspiring English sources

For mathematics students, this discussion opens the doors to a class of mathematically challenging and, in some cases, open, problems.

Using the polar representation method, the authors show the existence of a particular class of mathematically exact solutions to these two problems.

The presented experiments demonstrate the existence of classes of mathematically equivalent physical setups of the Wigner Boltzmann evolution.

Another application demonstrates the existence of classes of mathematically equivalent physical setups of the Wigner Boltzmann evolution.

In the class of reaction-difussion systems mathematically represented by the boundary value problem of Fourier's equation, necessary conditions for the appearance of singularities of condimension 1,2 and 3 (folds, cusps and swallow-tails) have been derived.

That is, "NC ball maps" are very simple, in contrast to the classical result of D'Angelo on such analytic maps in C. Another mathematically natural class of maps carries a variant of the noncommutative distinguished boundary to the boundary, but on these our results are limited.

Generally, these optimization problems can be regarded as a class of complex combinatorial problems that cannot be mathematically modeled, and be solve with analytical optimization algorithms or they may result in a local optimal solution.

For example, a class of discrete dynamical systems with binary states, mathematically similar to models used in artificial neural networks, has recently proven to predict specific sequence patterns of protein and gene activity as observed in living cells [12], [13].

This system relies on a pair of mathematically related keys.

"Gaming the Vote" offers clear, lively explanations of mathematically feasible alternatives.

Working with a precisely defined class of models such as pure epistasis offered a more mathematically tractable set for generation and investigation.