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  2. Complex number - Wikipedia

    en.wikipedia.org/wiki/Complex_number

    A simple computation shows that the map + is a ring isomorphism from the field of complex numbers to the ring of these matrices, proving that these matrices form a field. This isomorphism associates the square of the absolute value of a complex number with the determinant of the corresponding matrix, and the conjugate of a complex number with ...

  3. Imaginary unit - Wikipedia

    en.wikipedia.org/wiki/Imaginary_unit

    The imaginary unit i in the complex plane: Real numbers are conventionally drawn on the horizontal axis, and imaginary numbers on the vertical axis.. The imaginary unit or unit imaginary number (i) is a mathematical constant that is a solution to the quadratic equation x 2 + 1 = 0.

  4. 5-cell - Wikipedia

    en.wikipedia.org/wiki/5-cell

    In geometry, the 5-cell is the convex 4-polytope with Schläfli symbol {3,3,3}. It is a 5-vertex four-dimensional object bounded by five tetrahedral cells. It is also known as a C 5, hypertetrahedron, pentachoron, [1] pentatope, pentahedroid, [2] tetrahedral pyramid, or 4-simplex (Coxeter's polytope), [3] the simplest possible convex 4-polytope, and is analogous to the tetrahedron in three ...

  5. Fifth power (algebra) - Wikipedia

    en.wikipedia.org/wiki/Fifth_power_(algebra)

    In arithmetic and algebra, the fifth power or sursolid [1] of a number n is the result of multiplying five instances of n together: n 5 = n × n × n × n × n . Fifth powers are also formed by multiplying a number by its fourth power , or the square of a number by its cube .

  6. CW complex - Wikipedia

    en.wikipedia.org/wiki/CW_complex

    The CW complex construction is a straightforward generalization of the following process: A 0-dimensional CW complex is just a set of zero or more discrete points (with the discrete topology). A 1-dimensional CW complex is constructed by taking the disjoint union of a 0-dimensional CW complex with one or more copies of the unit interval.

  7. Complex plane - Wikipedia

    en.wikipedia.org/wiki/Complex_plane

    The complex plane allows for a geometric interpretation of complex numbers. Under addition , they add like vectors . 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 ...

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