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Holonomy
Translation of "holonomy" into Russian
holonomy
Noun
UK
/həˈlɒnəmi/
US
/həˈlɑnəmi/
holonomy
holonomies pl
The concept of holonomy is important in differential geometry.
Понятие голономии важно в дифференциальной геометрии.
Definitions
holonomy
Noun
UK
/həˈlɒnəmi/
US
/həˈlɑnəmi/
In differential geometry, holonomy refers to the transformation that results from parallel transporting a vector around a closed loop in a manifold.
The holonomy of a connection can provide insights into the geometric structure of the manifold.
In robotics and mechanical engineering, the property of a system whose kinematic constraints are holonomic, allowing the controllable degrees of freedom to equal the total degrees of freedom.
The robot's full holonomy enables it to move freely in any planar direction.
holonomy
Adjective
UK
/həˈlɒnəmi/
US
/həˈlɑnəmi/
Relating to or involving holonomy.
The researchers studied the holonomy characteristics of the manifold.
Idioms and phrases
holonomy group
The holonomy group plays a crucial role in differential geometry.
группа голономии
Группа голономии играет ключевую роль в дифференциальной геометрии.
holonomy theory
Holonomy theory is a complex topic in mathematics.
теория голономии
Теория голономии - сложная тема в математике.
restricted holonomy
Restricted holonomy is often studied in the context of Riemannian manifolds.
ограниченная голономия
Ограниченная голономия часто изучается в контексте римановых многообразий.
holonomy representation
The holonomy representation can be used to investigate the manifold's topology.
представление голономии
Представление голономии можно использовать для исследования топологии многообразия.
holonomy algebra
The holonomy algebra provides insights into the curvature of a manifold.
алгебра голономии
Алгебра голономии дает представление о кривизне многообразия.