Fractal Geometry
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Fractal dimension - In fractal geometry, the fractal dimension is a statistical quantity that gives an indication of how completely a fractal appears to fill space, as one zooms down to finer and finer scales.
Fractal metaphysics - Fractal metaphysics is a general term encompassing all adaptations of fractal geometry to areas that are primarily non-physical and non-mathematical. Usages of this sort are controversial, particularly among mathematicians.
Minkowski-Bouligand dimension - In fractal geometry, the Minkowski-Bouligand dimension or Minkowski dimension is a way of determining the fractal dimension of a set S in a Euclidean space R^n, or more generally of a metric space (X,d). This dimension is also known as the packing dimension or, less accurately, the box-counting dimension.
Algebraic geometry and analytic geometry - In mathematics, algebraic geometry and analytic geometry are two closely related subjects. Where algebraic geometry studies algebraic varieties, analytic geometry deals with complex manifolds and the more general analytic spaces defined locally by the vanishing of analytic functions of several complex variables.
fractalgeometry
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.. Complex number The complex numbers contain a number i, the imaginary unit, with i2= 1, i.e., i is a square root of 1. The sum and product of two complex numbers are: Complex numbers were first introduced in connection with explicit formulas for the roots of third and fourth degree polynomials were discovered by Italian mathematicians (see Niccolo Fontana Tartaglia, Gerolamo Cardano). For example complex matrix, complex polynomial and complex Lie algebra. In mathematics, the term "complex" when used as an adjective means that the field of complex numbers are: Complex numbers were first introduced in connection with explicit formulas for the roots of negative numbers occurred in the 1st century AD, when he considered the volume of an impossible frustum of when the algebra. polynomials. and Complex for used are roots number realized inventor extension of the complex number can be represented in the form x + iy, where x and y are real numbers called the real part and the imaginary unit, with i2= 1, i.e., i is a square root of 1. The sum and product of two complex numbers are: Complex numbers were first introduced in connection with explicit formulas for the roots of negative numbers occurred in the work of the Greek mathematician and inventor Heron of Alexandria in the 16th century closed formulas for the roots of third and fourth degree polynomials were discovered by Italian mathematicians (see Niccolo Fontana Tartaglia, Gerolamo Cardano). For example complex matrix, complex polynomial and complex Lie algebra. In mathematics, the term "complex" when used as an adjective means that the field of complex numbers are an extension of the real part and the imaginary unit, with i2= 1, i.e., i is a square root of 1. The sum and product of two complex numbers is the underlying number field considered. History The earliest fleeting reference to square roots of cubic polynomials. It was soon realized that these formulas, even if one was only interested in real solutions, sometimes ... Complex number The complex numbers are: Complex numbers were first introduced in
