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  2. Multiplicative character - Wikipedia

    en.wikipedia.org/wiki/Multiplicative_character

    In mathematics, a multiplicative character (or linear character, or simply character) on a group G is a group homomorphism from G to the multiplicative group of a field , usually the field of complex numbers. If G is any group, then the set Ch(G) of these morphisms forms an abelian group under pointwise multiplication.

  3. Complex multiplication - Wikipedia

    en.wikipedia.org/wiki/Complex_multiplication

    In mathematics, complex multiplication (CM) is the theory of elliptic curves E that have an endomorphism ring larger than the integers. [1] Put another way, it contains the theory of elliptic functions with extra symmetries, such as are visible when the period lattice is the Gaussian integer lattice or Eisenstein integer lattice.

  4. Bicomplex number - Wikipedia

    en.wikipedia.org/wiki/Bicomplex_number

    Bicomplex numbers form an algebra over C of dimension two, and since C is of dimension two over R, the bicomplex numbers are an algebra over R of dimension four. In fact the real algebra is older than the complex one; it was labelled tessarines in 1848 while the complex algebra was not introduced until 1892.

  5. Complex number - Wikipedia

    en.wikipedia.org/wiki/Complex_number

    A complex number can be visually represented as a pair of numbers (a, b) forming a vector on a diagram called an Argand diagram, representing the complex plane. Re is the real axis, Im is the imaginary axis, and i is the "imaginary unit", that satisfies i 2 = −1.

  6. Complex plane - Wikipedia

    en.wikipedia.org/wiki/Complex_plane

    The multiplication of two complex numbers can be expressed more easily in polar coordinates: the magnitude or modulus of the product is the product of the two absolute values, or moduli, and the angle or argument of the product is the sum of the two angles, or arguments. In particular, multiplication by a complex number of modulus 1 acts as a ...

  7. Top 9 benefits of 529 education savings plans - AOL

    www.aol.com/finance/top-9-benefits-529-education...

    Tax-free growth for education. A 529 plan gives you a tax-advantaged way to save for education. You can stash money on an after-tax basis and then grow it tax-free. When you withdraw the money for ...

  8. Euler's formula - Wikipedia

    en.wikipedia.org/wiki/Euler's_formula

    In fact, the same proof shows that Euler's formula is even valid for all complex numbers x. A point in the complex plane can be represented by a complex number written in cartesian coordinates. Euler's formula provides a means of conversion between cartesian coordinates and polar coordinates. The polar form simplifies the mathematics when used ...

  9. At least three officers and one civilian have been hospitalized after a multi-vehicle car accident in Oakland, Calif., according to reports. Two police cars belonging to the Bay Area Rapid Transit ...

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