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  2. Reflection (mathematics) - Wikipedia

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

    A reflection through an axis. In mathematics, a reflection (also spelled reflexion) [1] is a mapping from a Euclidean space to itself that is an isometry with a hyperplane as the set of fixed points; this set is called the axis (in dimension 2) or plane (in dimension 3) of reflection. The image of a figure by a reflection is its mirror image in ...

  3. Rotations and reflections in two dimensions - Wikipedia

    en.wikipedia.org/wiki/Rotations_and_reflections...

    An xy-Cartesian coordinate system rotated through an angle to an x′y′-Cartesian coordinate system 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 ...

  4. Reflection formula - Wikipedia

    en.wikipedia.org/wiki/Reflection_formula

    In mathematics, a reflection formula or reflection relation for a function f is a relationship between f(a − x) and f(x). It is a special case of a functional equation . It is common in mathematical literature to use the term "functional equation" for what are specifically reflection formulae.

  5. Analytic geometry - Wikipedia

    en.wikipedia.org/wiki/Analytic_geometry

    This is not always the case: the trivial equation x = x specifies the entire plane, and the equation x 2 + y 2 = 0 specifies only the single point (0, 0). In three dimensions, a single equation usually gives a surface , and a curve must be specified as the intersection of two surfaces (see below), or as a system of parametric equations . [ 18 ]

  6. Rotation of axes in two dimensions - Wikipedia

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

    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 .

  7. ‘Alcohol gene’ could predict how cocktails may affect you ...

    www.aol.com/news/alcohol-gene-could-predict...

    The testing kit, which costs approximately $150, involves swabbing the cheek and mailing the sample back to a laboratory company to see if the gene mutations are present.. Results typically come ...

  8. 3 Winter Sleep Problems & How to Fix Them - AOL

    www.aol.com/3-winter-sleep-problems-fix...

    Winter brings less daylight and colder temperatures, which can disrupt sleep. Seasonal Affective Disorder (SAD) is more common in winter due to the lack of sunlight, causing sleep disturbances.

  9. Daughter Admits She Used to Throw Plates Away Rather Than ...

    www.aol.com/daughter-admits-she-used-throw...

    Related: Woman No Longer Cooks Husband Dinner After He Refuses to Do Dishes: 'He Can Handle His Own' Later in the video, Sam dropped a big bombshell as she admitted she once faked a health crisis. ...

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