Hyperbolicity

Перевод слова "hyperbolicity" на Русский язык

hyperbolicity

Существительное

hyperbolicity

hyperbolicities множ.

гиперболичность

The hyperbolicity of the mathematical model was crucial for the study.

Гиперболичность математической модели была важна для исследования.

Опеределения

hyperbolicity

Существительное

The quality or state of being hyperbolic, often referring to a property in mathematics or geometry where a space or surface has constant negative curvature.

The hyperbolicity of the surface was evident in its saddle-like shape.

In dynamical systems, a property of a system where trajectories diverge exponentially, indicating sensitivity to initial conditions.

The hyperbolicity of the system made it highly sensitive to small changes in initial conditions.

In the theory of partial differential equations, the condition of an equation or system being hyperbolic, typically guaranteeing well-posedness and finite-speed propagation of waves.

Checking the hyperbolicity of the Euler equations is essential for proving the existence of smooth solutions.