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The best-known surviving example is the Münster astronomical clock, whose hands move counterclockwise. Occasionally, clocks whose hands revolve counterclockwise are sold as a novelty. One historic Jewish clock was built that way in the Jewish Town Hall in Prague in the 18th century, using right-to-left reading in the Hebrew language.
Rotation matrix. 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 below, the matrix. rotates points in the xy plane counterclockwise through an angle θ about the origin of a two-dimensional Cartesian coordinate system.
Definition. [] The circle of fifths organizes pitches in a sequence of perfect fifths, generally shown as a circle with the pitches (and their corresponding keys) in clockwise order. It can be viewed in a counterclockwise direction as a circle of fourths. Harmonic progressions in Western music commonly use adjacent keys in this system, making ...
Widdershins. Widdershins (sometimes withershins, widershins or widderschynnes) is a term meaning to go counter-clockwise, anti-clockwise, or lefthandwise, or to walk around an object by always keeping it on the left. Literally, it means to take a course opposite the apparent motion of the sun viewed from the Northern Hemisphere (the face of ...
In mathematics, a rotation of axes in two dimensions is a mapping from an xy - Cartesian coordinate system to an x′y′ -Cartesian coordinate system in which the origin is kept fixed and the x′ and y′ axes are obtained by rotating the x and y axes counterclockwise through an angle . A point P has coordinates ( x, y) with respect to the ...
For example, clock position on a 12-hour analog watch can be used to find the approximate bearing of true north or south on a day clear enough for the sun to cast a shadow. The technique takes a line of sight (LOS) on the visible sun, or on the direction pointed to by a shadow stick, through the hour hand of the watch.
Left panel: a ball is tossed by a thrower at 12:00 o'clock and travels in a straight line to the center of the carousel. While it travels, the thrower circles in a counter-clockwise direction. Right panel: The ball's motion as seen by the thrower, who now remains at 12:00 o'clock, because there is no rotation from their viewpoint.
Transformation matrix. In linear algebra, linear transformations can be represented by matrices. If is a linear transformation mapping to and is a column vector with entries, then for some matrix , called the transformation matrix of . [citation needed] Note that has rows and columns, whereas the transformation is from to .
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