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Fuchsian
Translation of "fuchsian" into Russian
Fuchsian
Noun
Fuchsian
Fuchsians pl
фуксиан
The mathematician studied the properties of a Fuchsian group.
Математик изучал свойства фуксианской группы.
Definitions
Fuchsian
Noun
A discrete subgroup of PSL(2, ℝ) acting by Möbius transformations on the upper half-plane; a Fuchsian group.
Any finite-area Fuchsian of the first kind is amenable to tessellation of the hyperbolic plane.
Fuchsian
Adjective
Relating to or characteristic of the mathematician Lazarus Fuchs or his work, especially in the context of complex analysis and differential equations.
The Fuchsian group is a key concept in the study of hyperbolic geometry.
Relating to discrete subgroups of PSL(2, ℝ) (so-called Fuchsian groups) and to the hyperbolic geometry arising from their action.
Fuchsian metrics appear naturally when studying surfaces of constant negative curvature.
Idioms and phrases
fuchsian group
A Fuchsian group is a type of discrete group of isometries of the hyperbolic plane.
фуксианская группа
Фуксианская группа — это тип дискретной группы изометрий гиперболической плоскости.
fuchsian differential equation
A Fuchsian differential equation has only regular singular points.
фуксианское дифференциальное уравнение
Фуксианское дифференциальное уравнение имеет только правильные особые точки.
fuchsian manifold
A Fuchsian manifold can be viewed as a quotient of the hyperbolic plane.
фуксианское многообразие
Фуксианское многообразие можно рассматривать как фактор-группу гиперболической плоскости.
fuchsian system
A Fuchsian system refers to a linear system of differential equations with regular singularities.
фуксианская система
Фуксианская система относится к линейной системе дифференциальных уравнений с правильными особенностями.
fuchsian model
Researchers introduced a Fuchsian model to describe these geometric structures.
фуксианская модель
Исследователи представили фуксианскую модель для описания этих геометрических структур.