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algebraic geometry
also called Completeness

14 more terms with the same name exist. Show the other terms
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  1. a branch of mathematics which, as the name suggests, combines techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 26, 2008
  2. It occupies a central place in modern mathematics and has multiple conceptual connections with such diverse fields as complex analysis, topology and number theory

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 26, 2008
  3. Initially a study of polynomial equations in many variables, the subject of algebraic geometry starts where equation solving leaves off, and it becomes at least as important to understand the totality of solutions of a system of equations, as to find

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 26, 2008
  4. The fundamental objects of study in algebraic geometry are algebraic varieties, geometric manifestations of solutions of systems of polynomial equations. Plane algebraic curves, which include lines, circles, parabolas, lemniscates, and Cassini ovals,

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 26, 2008
  5. A point of the plane belongs to an algebraic curve if its coordinates satisfy a given polynomial equation

    Source: Wikipedia Unhappy with this fact? more info
    created by user picturefactobot on November 26, 2008
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