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  2. Symmetry in mathematics - Wikipedia

    en.wikipedia.org/wiki/Symmetry_in_mathematics

    The root system of the exceptional Lie group E 8.Lie groups have many symmetries. Symmetry occurs not only in geometry, but also in other branches of mathematics.Symmetry is a type of invariance: the property that a mathematical object remains unchanged under a set of operations or transformations.

  3. Parity (mathematics) - Wikipedia

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

    Even and odd numbers have opposite parities, e.g., 22 (even number) and 13 (odd number) have opposite parities. In particular, the parity of zero is even. [2] Any two consecutive integers have opposite parity. A number (i.e., integer) expressed in the decimal numeral system is even or odd according to whether its last digit is even or odd. That ...

  4. Even and odd functions - Wikipedia

    en.wikipedia.org/wiki/Even_and_odd_functions

    They are named for the parity of the powers of the power functions which satisfy each condition: the function () = is even if n is an even integer, and it is odd if n is an odd integer. Even functions are those real functions whose graph is self-symmetric with respect to the y -axis, and odd functions are those whose graph is self-symmetric ...

  5. Symmetry - Wikipedia

    en.wikipedia.org/wiki/Symmetry

    Both behavioural and neurophysiological studies have confirmed the special sensitivity to reflection symmetry in humans and also in other animals. [28] Early studies within the Gestalt tradition suggested that bilateral symmetry was one of the key factors in perceptual grouping. This is known as the Law of Symmetry. The role of symmetry in ...

  6. Lists of uniform tilings on the sphere, plane, and hyperbolic ...

    en.wikipedia.org/wiki/Lists_of_uniform_tilings...

    There are 4 symmetry classes of reflection on the sphere, and three in the Euclidean plane. A few of the infinitely many such patterns in the hyperbolic plane are also listed. (Increasing any of the numbers defining a hyperbolic or Euclidean tiling makes another hyperbolic tiling.) Point groups:

  7. US govt wants half of its $20 billion loan to Ukraine to be ...

    www.aol.com/news/us-govt-wants-half-20-164120000...

    WASHINGTON (Reuters) -The Biden administration is trying to provide Ukraine with $10 billion in military aid as part of its $20 billion commitment to the country under a $50 billion loan ...

  8. Symmetry operation - Wikipedia

    en.wikipedia.org/wiki/Symmetry_operation

    In mathematics, a symmetry operation is a geometric transformation of an object that leaves the object looking the same after it has been carried out. For example, a 1 ⁄ 3 turn rotation of a regular triangle about its center, a reflection of a square across its diagonal, a translation of the Euclidean plane, or a point reflection of a sphere through its center are all symmetry operations.

  9. Today's Wordle Hint, Answer for #1259 on Friday, November 29 ...

    www.aol.com/lifestyle/todays-wordle-hint-answer...

    If you’re stuck on today’s Wordle answer, we’re here to help—but beware of spoilers for Wordle 1259 ahead. Let's start with a few hints.