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  2. Curve orientation - Wikipedia

    en.wikipedia.org/wiki/Curve_orientation

    In the case of a plane simple closed curve (that is, a curve in the plane whose starting point is also the end point and which has no other self-intersections), the curve is said to be positively oriented or counterclockwise oriented, if one always has the curve interior to the left (and consequently, the curve exterior to the right), when ...

  3. Rotation of axes in two dimensions - Wikipedia

    en.wikipedia.org/wiki/Rotation_of_axes_in_two...

    The equations defining the transformation in two dimensions, which rotates the xy axes counterclockwise through an angle into the x′y′ axes, are derived as follows. In the xy system, let the point P have polar coordinates ( r , α ) {\displaystyle (r,\alpha )} .

  4. Clockwise - Wikipedia

    en.wikipedia.org/wiki/Clockwise

    A circle defined parametrically in a positive Cartesian plane by the equations x = cos t and y = sin t is traced counterclockwise as the angle t increases in value, from the right-most point at t = 0. An alternative formulation with sin and cos swapped gives a clockwise trace from the upper-most point, where t can be considered akin to a ...

  5. Rotation (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Rotation_(mathematics)

    Rotation can have a sign (as in the sign of an angle): a clockwise rotation is a negative magnitude so a counterclockwise turn has a positive magnitude. A rotation is different from other types of motions: translations , which have no fixed points, and (hyperplane) reflections , each of them having an entire ( n − 1) -dimensional flat of ...

  6. Winding number - Wikipedia

    en.wikipedia.org/wiki/Winding_number

    The winding number depends on the orientation of the curve, and it is negative if the curve travels around the point clockwise. Winding numbers are fundamental objects of study in algebraic topology , and they play an important role in vector calculus , complex analysis , geometric topology , differential geometry , and physics (such as in ...

  7. Could AMD Be the Nvidia of 2025?

    www.aol.com/could-amd-nvidia-2025-210500400.html

    Image Source: Getty Images. Why 2025 could be a pivotal year for AMD. Much of the reason why Nvidia experienced such enormous growth in its data center business stems from the fact that the ...

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