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A curve may have equivalent parametrizations when there is a continuous increasing monotonic function relating the parameter of one curve to the parameter of the other. When there is a decreasing continuous function relating the parameters, then the parametric representations are opposite and the orientation of the curve is reversed. [1] [2]
The Pournelle chart has liberty on one axis, with those on the left seeking freedom from control or protections for social deviance and those on the right emphasizing state authority or protections for norm enforcement (farthest right being state worship, farthest left being the idea of a state as the "ultimate evil").
Helices are either right or left handed with curled fingers giving the direction of rotation and thumb giving the direction of advance along the z-axis. The threads of a screw are helical and therefore screws can be right- or left-handed. To properly fasten or unfasten a screw, one applies the above rules: if a screw is right-handed, pointing ...
The vector cross product, used to define the axis–angle representation, does confer an orientation ("handedness") to space: in a three-dimensional vector space, the three vectors in the equation a × b = c will always form a right-handed set (or a left-handed set, depending on how the cross product is defined), thus fixing an orientation in ...
This category concerns orientation: ... Curve orientation; D. Dexter and sinister; Downstream (networking) ... Proper right and proper left; Q.
The orientation of a real vector space or simply orientation of a vector space is the arbitrary choice of which ordered bases are "positively" oriented and which are "negatively" oriented. In the three-dimensional Euclidean space , right-handed bases are typically declared to be positively oriented, but the choice is arbitrary, as they may also ...
A Hate Crime is a criminal offense against a person or property motivated in whole or in part by the individual's bias against a race, religion, disability, ethnicity/national origin, sexual ...
Right- or left-handed coordinates The matrix and the vector can be represented with respect to a right-handed or left-handed coordinate system. Throughout the article, we assumed a right-handed orientation, unless otherwise specified. Vectors or forms The vector space has a dual space of linear forms, and the matrix can act on either vectors or ...