Rotation number information

In mathematics, the rotation number is an invariant of homeomorphisms of the circle. It was first defined by Henri Poincaré in 1885, in relation to the...

a unique number called the Carrington Rotation Number, starting from November 9, 1853. (The Bartels Rotation Number is a similar numbering scheme that...

figure at a center of rotation. A solid figure has an infinite number of possible axes and angles of rotation, including chaotic rotation (between arbitrary...

In linear algebra, a rotation matrix is a transformation matrix that is used to perform a rotation in Euclidean space. For example, using the convention...

degree of the tangential Gauss map. This is called the turning number, rotation number, rotation index or index of the curve, and can be computed as the total...

object's degree of rotational symmetry is the number of distinct orientations in which it looks exactly the same for each rotation. Certain geometric...

Rotational frequency, also known as rotational speed or rate of rotation (symbols ν, lowercase Greek nu, and also n), is the frequency of rotation of an...

The coin rotation paradox is the counter-intuitive math problem that, when one coin is rolled around the rim of another coin of equal size, the moving...

Optical rotation, also known as polarization rotation or circular birefringence, is the rotation of the orientation of the plane of polarization about...

Arnold) are a pictorial phenomenon that occur when visualizing how the rotation number of a dynamical system, or other related invariant property thereof...

{\displaystyle q}  and a rotation number p / q {\displaystyle p/q} . In this context, the attracting cycle of  exhibits rotational motion around a central...

{\displaystyle \mathbb {T} } is as well. A unit complex number in the circle group represents a rotation of the complex plane about the origin and can be parametrized...

Crop rotation is the practice of growing a series of different types of crops in the same area across a sequence of growing seasons. This practice reduces...

orientations and rotations of elements in three dimensional space. Specifically, they encode information about an axis-angle rotation about an arbitrary...

geometry, a plane of rotation is an abstract object used to describe or visualize rotations in space. The main use for planes of rotation is in describing...

west due to the rotation of Earth, so do the stars. Both solar time and sidereal time make use of the regularity of Earth's rotation about its polar axis:...

change in its rotation rate over the course of a complete orbit. In the case where a tidally locked body possesses synchronous rotation, the object takes...

Rotational spectroscopy is concerned with the measurement of the energies of transitions between quantized rotational states of molecules in the gas phase...

transformation that substitutes an imaginary-number variable for a real-number variable. Wick rotations can be seen as a useful trick that works because...

tree rotation is an operation on a binary tree that changes the structure without interfering with the order of the elements. A tree rotation moves one...

The Faraday effect or Faraday rotation, sometimes referred to as the magneto-optic Faraday effect (MOFE), is a physical magneto-optical phenomenon. The...

Rotation around a fixed axis or axial rotation is a special case of rotational motion around an axis of rotation fixed, stationary, or static in three-dimensional...

composition of rotations chained rotations. The geometrical definition demonstrates that three composed elemental rotations (rotations about the axes...

In information technology, log rotation is an automated process used in system administration in which log files are compressed, moved (archived), renamed...

express a rotation in three dimensions as a mathematical transformation. In physics, this concept is applied to classical mechanics where rotational (or angular)...