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  2. Inversion (discrete mathematics) - Wikipedia

    en.wikipedia.org/wiki/Inversion_(discrete...

    An inversion may be denoted by the pair of places (2, 4) or the pair of elements (5, 2). The inversions of this permutation using element-based notation are: (3, 1), (3, 2), (5, 1), (5, 2), and (5,4). In computer science and discrete mathematics, an inversion in a sequence is a pair of elements that are out of their natural order.

  3. Inversive geometry - Wikipedia

    en.wikipedia.org/wiki/Inversive_geometry

    This is called circle inversion or plane inversion. The inversion taking any point P (other than O ) to its image P ' also takes P ' back to P , so the result of applying the same inversion twice is the identity transformation which makes it a self-inversion (i.e. an involution).

  4. Improper rotation - Wikipedia

    en.wikipedia.org/wiki/Improper_rotation

    The direct subgroup of S 2n is C n, order n, index 2, being the rotoreflection generator applied twice. For odd n, S 2n contains an inversion, denoted C i or S 2. S 2n is the direct product: S 2n = C n × S 2, if n is odd. For any n, if odd p is a divisor of n, then S 2n/p is a subgroup of S 2n, index p. For example S 4 is a subgroup of S 12 ...

  5. Inverse problem - Wikipedia

    en.wikipedia.org/wiki/Inverse_problem

    In order to understand what may happen, we have to keep in mind that solving such a linear inverse problem amount to solving a Fredholm integral equation of the first kind: = (,) () where K {\displaystyle K} is the kernel, x {\displaystyle x} and y {\displaystyle y} are vectors of R 2 {\displaystyle R^{2}} , and Ω {\displaystyle \Omega } is a ...

  6. Template:Win draw lose/doc - Wikipedia

    en.wikipedia.org/wiki/Template:Win_draw_lose/doc

    This template is used on many pages and changes may be widely noticed. Test changes in the template's /sandbox or /testcases subpages, or in your own user subpage . Consider discussing changes on the talk page before implementing them.

  7. If I Could Only Buy and Hold a Single Stock, This Would Be It

    www.aol.com/could-only-buy-hold-single-113000923...

    We all know the phrase, "don't put all your eggs in one basket." That's because it's a simple way to express an abstract idea: Too much concentrated risk can lead to disaster.

  8. Easy & Adorable Mashed Potato Snowmen Almost Too Cute to Eat

    www.aol.com/easy-adorable-mashed-potato-snowmen...

    ¼ cup of organic vegan butter or margarine (I used organic whipped earth balance, but if you avoid soy, get the soy-free earth balance)* 1 teaspoon of pink sea salt.

  9. Bruhat order - Wikipedia

    en.wikipedia.org/wiki/Bruhat_order

    If (W, S) is a Coxeter system with generators S, then the Bruhat order is a partial order on the group W.The definition of Bruhat order relies on several other definitions: first, reduced word for an element w of W is a minimum-length expression of w as a product of elements of S, and the length ℓ(w) of w is the length of its reduced words.

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