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| 1 | Rotation matrix |
| A rotation matrix is a matrix that generalizes the concept of a rotation of a set of points around a certain axis, about some arbitrary angle (or consequently rotating the axes about another axis). For the former, in R 3, the rotation about the z -axis is given by: with the equivalent clockwise ... | |
| 2 | Euler's rotation theorem |
| In mathematics, Euler's rotation theorem states that any rotation has an axis. Thus, a rotation may be described using three degrees of freedom: two to specify the axis (say, latitude and longitude) and one to specify the amount of rotation. The theorem is named for Leonard Euler ... | |
| 3 | Rotation (disambiguation) |
| denote the rotation of movement of a rigid body in such a way that any given point of that body... farming pratice of crop rotation. The business management approach of job rotation. The... differential rotation of objects. The Galaxy rotation problem concening discrepancy between the observed ... | |
| 4 | Axis |
| can be rotated. An axis of symmetry is a line with respect to which a body can be symmetrical. The term is also applied for the axis of a graph; the horizontal axis x-axis , the vertical y-axis and..., allows rotation, and its articulation with the bone below (C3) allows a lesser degree of flexion, tilting ... | |
| 5 | Differential rotation |
| Differential rotation is seen if parts of a rotating object move with different angular velocity. (to put it short and non-scientific, parts at different distances from the rotation axis make a different number of rounds at a given time interval). This indicates that the object is not solid. In ... | |
| 6 | Angular displacement |
| Angular displacement of a body is the angle in radians through which a point or line has been rotated in a specified sense about a specified axis ... | |
| 7 | Rotation curve |
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| 8 | Rotation period |
| In astronomy, a rotation period is the time an astronomical object takes to complete one revolution around its rotation axis ... | |
| 9 | Euler angles |
| Euler angles are one way of representing rotations in 3-dimensional Euclidean space as a product of three successive 2D coordinate rotations θ, φ, ψ ( theta , phi , and psi ) about the x -, y - and z -axes. Commonly, the rotations are carried out first around z -axis, then around the y -axis ... | |
| 10 | Rotation group |
| do not form a group since the product of two improper rotations is a proper rotation. Axis of... the axis of rotation . Each rotation will act like a normal 2-dimensional rotation in the plane... arbitrary 3-dimensional rotation can be specified by an axis of rotation together with an angle of ... | |
| 11 | Shell integration |
| , part of the graph of a function is rotated around an axis, and is modelled by an infinite number of... basic forms of integration -- such as ∫ x dx ) can be rotated about the axis of revolution; thus... of revolution), or if the rotation is around the y-axis (vertical axis of revolution). So here ... | |
| 12 | Crystallographic point group |
| addition of an inversion. C n (for cyclic) indicates that the group has an n -fold rotation axis. C nh is C n with the addition of a mirror (reflection) plane perpendicular to the axis of rotation. C nv is C n with the addition of a mirror plane parallel to the axis of rotation. S n (for Spiegel ... | |
| 13 | Alhidade |
| The Alhidade is the part of a theodolite that rotates around the vertical axis, and that bears the horizontal axis around which the telescope (or visor, in early telescope-less instruments) turns up or down. In a sextant the alhidade is the turnable arm carrying a mirror and an index to a ... | |
| 14 | Catenoid |
| A catenoid is a three-dimensional shape made by rotating a catenary curve around an axis. A catenoid is one of several types of minimal surfaces. In mathematical terms, a minimal surface is a... around the axis is called a catenoid. A surface swept out by a line rotating with uniform velocity ... | |
| 15 | Lathe (graphics) |
| rotating the points of a spline or other point set around a fixed axis. The lathing may be partial; the amount of rotation is not necessarily a full 360 degrees. The point set providing the initial source data can be thought of as a cross section through the object. See Also: Solid of revolution ... |