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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. Orientation (vector space) - Wikipedia

    en.wikipedia.org/wiki/Orientation_(vector_space)

    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 ...

  4. Cartesian coordinate system - Wikipedia

    en.wikipedia.org/wiki/Cartesian_coordinate_system

    The standard orientation, where the xy-plane is horizontal and the z-axis points up (and the x- and the y-axis form a positively oriented two-dimensional coordinate system in the xy-plane if observed from above the xy-plane) is called right-handed or positive. 3D Cartesian coordinate handedness. The name derives from the right-hand rule.

  5. Green's theorem - Wikipedia

    en.wikipedia.org/wiki/Green's_theorem

    Lemma 1 (Decomposition Lemma) — Assume is a rectifiable, positively oriented Jordan curve in the plane and let be its inner region. For every positive real δ {\displaystyle \delta } , let F ( δ ) {\displaystyle {\mathcal {F}}(\delta )} denote the collection of squares in the plane bounded by the lines x = m δ , y = m δ {\displaystyle x=m ...

  6. Differential form - Wikipedia

    en.wikipedia.org/wiki/Differential_form

    An example of a 1-dimensional manifold is an interval [a, b], and intervals can be given an orientation: they are positively oriented if a < b, and negatively oriented otherwise. If a < b then the integral of the differential 1 -form f ( x ) dx over the interval [ a , b ] (with its natural positive orientation) is

  7. Your Keyboard Is Changing What Words Mean, Study Says - AOL

    www.aol.com/news/2012-03-09-your-keyboard-is...

    Computers are shaping our minds in plentiful ways. By various reports, long stretches of screen time are making us less empathetic, more empathetic, less connected, more connected, less productive ...

  8. Right-hand rule - Wikipedia

    en.wikipedia.org/wiki/Right-hand_rule

    In mathematics and physics, the right-hand rule is a convention and a mnemonic, utilized to define the orientation of axes in three-dimensional space and to determine the direction of the cross product of two vectors, as well as to establish the direction of the force on a current-carrying conductor in a magnetic field.

  9. Urdu keyboard - Wikipedia

    en.wikipedia.org/wiki/Urdu_keyboard

    Layout of Urdu Phonetic Keyboard. Along with the UZT keyboards, phonetic keyboards have been developed for Urdu. Phonetic keyboards works with the sound of the words, e.g. 'a' button of the English keyboard contain an Urdu word which is similar to the sound of 'a' and same is the case for other characters.