rotatsiooniliselt

Rotatsiooniliselt is an Estonian adverb meaning “in a rotational manner” or “by rotation.” It is formed from the noun rotatsioon (rotation) and the suffix -iliselt. The term is used to describe actions, phenomena, or properties that involve rotating around a fixed axis or point.

In mathematics, rotations are transformations that preserve distances and angles. A vector v rotated rotatsiooniliselt about the origin by angle θ is v' = R(θ) v, where R(θ) is the 2D rotation matrix [[cosθ, -sinθ], [sinθ, cosθ]]. In higher dimensions, rotations form the special orthogonal group SO(n) and can be described by axis-angle representations, Euler angles, or quaternions. A quantity is rotatsiooniliselt invariant if it remains unchanged under all rotations from a specified group.

The term also appears in contexts such as geometry, physics, and computer science. Geometrically, a figure with rotatsiooniliselt symmetric properties appears the same after rotations about a given axis. In physics, rotational motion, angular momentum, and torque involve quantities that transform in well-defined ways under rotations. In computer science and engineering, rotations are used to reorient objects in space, for example in computer graphics, robotics, and coordinate frame transformations; these operations are described as rotatsioonilised teisendused or rotation transformations.

See also terms include rotational symmetry and rotational invariance, as well as the adjectives rotatsiooniline and the noun rotatsioonilisus, which relate to the broader concept of rotation and its properties.