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  2. Completing the square - Wikipedia

    en.wikipedia.org/wiki/Completing_the_square

    That is, h is the x-coordinate of the axis of symmetry (i.e. the axis of symmetry has equation x = h), and k is the minimum value (or maximum value, if a < 0) of the quadratic function. One way to see this is to note that the graph of the function f(x) = x 2 is a parabola whose vertex is at the origin (0, 0).

  3. Molecular symmetry - Wikipedia

    en.wikipedia.org/wiki/Molecular_symmetry

    This is also called an n-fold rotational axis and abbreviated C n. Examples are the C 2 axis in water and the C 3 axis in ammonia. A molecule can have more than one symmetry axis; the one with the highest n is called the principal axis, and by convention is aligned with the z-axis in a Cartesian coordinate system.

  4. Quadratic equation - Wikipedia

    en.wikipedia.org/wiki/Quadratic_equation

    For the quadratic function y = x 2 − x − 2, the points where the graph crosses the x-axis, x = −1 and x = 2, are the solutions of the quadratic equation x 2 − x − 2 = 0. The process of completing the square makes use of the algebraic identity + + = (+), which represents a well-defined algorithm that can be used to solve any quadratic ...

  5. Symmetry element - Wikipedia

    en.wikipedia.org/wiki/Symmetry_element

    In particular, a symmetry element can be a mirror plane, an axis of rotation (either proper and improper), or a center of inversion. [1] [2] [3] For an object such as a molecule or a crystal, a symmetry element corresponds to a set of symmetry operations, which are the rigid transformations employing the symmetry element that leave the object ...

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    A woman who stowed away on a Delta flight from New York to Paris last week has been released from custody after being charged in federal court, but with more than a dozen conditions.

  7. How to make sure texts and calls are encrypted after the FBI ...

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    Federal officials warned Tuesday that a massive Chinese hacking operation against American telecommunications companies hasn’t yet been fully expelled and that the best way to hide ...

  8. Trigonal pyramidal molecular geometry - Wikipedia

    en.wikipedia.org/wiki/Trigonal_pyramidal...

    3, and the sulfite ion, SO 2− 3. In organic chemistry, molecules which have a trigonal pyramidal geometry are sometimes described as sp 3 hybridized. The AXE method for VSEPR theory states that the classification is AX 3 E 1. Phosphine, an example of a molecule with a trigonal pyramidal geometry.

  9. I've cracked the code on feline love – here are the sweetest ...

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    Kneading (also known rather adorably as ‘making biscuits’) is a key sign of affection and is wonderfully relaxing for both cat and human — as long as you have a blanket over your lap that is ...

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