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  2. Complex space - Wikipedia

    en.wikipedia.org/wiki/Complex_space

    A complex space is a mathematical space based upon complex numbers. Types of complex space include: Complex affine space, an affine space over the complex numbers, with no distinguishable point of origin. Complex analytic space, a generalization of a complex manifold, with singularities allowed. Complex coordinate space, the set of all ordered ...

  3. Space (mathematics) - Wikipedia

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

    In mathematics, a space is a set (sometimes known as a universe) with a definition ( structure) of relationships among the elements of the set. While modern mathematics uses many types of spaces, such as Euclidean spaces, linear spaces, topological spaces, Hilbert spaces, or probability spaces, it does not define the notion of "space" itself.

  4. Z-transform - Wikipedia

    en.wikipedia.org/wiki/Z-transform

    In mathematics and signal processing, the Z-transform converts a discrete-time signal, which is a sequence of real or complex numbers, into a complex valued frequency-domain (the z-domain or z-plane) representation. It can be considered a discrete-time equivalent of the Laplace transform (the s-domain or s-plane).

  5. Mathematics - Wikipedia

    en.wikipedia.org/wiki/Mathematics

    t. e. Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, [1] algebra, [2] geometry, [1] and analysis, [3 ...

  6. Change of variables - Wikipedia

    en.wikipedia.org/wiki/Change_of_variables

    In mathematics, a change of variables is a basic technique used to simplify problems in which the original variables are replaced with functions of other variables. The intent is that when expressed in new variables, the problem may become simpler, or equivalent to a better understood problem. Change of variables is an operation that is related ...

  7. Quadric (algebraic geometry) - Wikipedia

    en.wikipedia.org/wiki/Quadric_(algebraic_geometry)

    Quadric (algebraic geometry) In mathematics, a quadric or quadric hypersurface is the subspace of N -dimensional space defined by a polynomial equation of degree 2 over a field. Quadrics are fundamental examples in algebraic geometry. The theory is simplified by working in projective space rather than affine space.

  8. Algebraic space - Wikipedia

    en.wikipedia.org/wiki/Algebraic_space

    In mathematics, algebraic spaces form a generalization of the schemes of algebraic geometry, introduced by Michael Artin [1] for use in deformation theory. Intuitively, schemes are given by gluing together affine schemes using the Zariski topology, while algebraic spaces are given by gluing together affine schemes using the finer étale topology.

  9. Real coordinate space - Wikipedia

    en.wikipedia.org/wiki/Real_coordinate_space

    Real coordinate space. Cartesian coordinates identify points of the Euclidean plane with pairs of real numbers. In mathematics, the real coordinate space or real coordinate n-space, of dimension n, denoted Rn or , is the set of all ordered n -tuples of real numbers, that is the set of all sequences of n real numbers, also known as coordinate ...