Continuous symmetry - Wikipedia: "an intuitive idea corresponding to the concept of viewing some symmetries as motions,"
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Sunday, July 09, 2017
Friday, July 07, 2017
Wednesday, July 05, 2017
Algebraic variety - Wikipedia
Algebraic variety - Wikipedia: "The fundamental theorem of algebra establishes a link between algebra and geometry by showing that a monic polynomial (an algebraic object) in one variable with complex number coefficients is determined by the set of its roots (a geometric object) in the complex plane. Generalizing this result, Hilbert's Nullstellensatz provides a fundamental correspondence between ideals of polynomial rings and algebraic sets. Using the Nullstellensatz and related results, mathematicians have established a strong correspondence between questions on algebraic sets and questions of ring theory. This correspondence is the specificity of algebraic geometry.
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Sunday, July 02, 2017
Homogeneous polynomial - Wikipedia
Homogeneous polynomial - Wikipedia: "A polynomial of degree 0 is always homogeneous; it is simply an element of the field or ring of the coefficients,"
n-forms share being homogeneous with their field.
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n-forms share being homogeneous with their field.
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Saturday, July 01, 2017
Metric tensor (general relativity) - Wikipedia
Metric tensor (general relativity) - Wikipedia: "The flat space metric (or Minkowski metric) is often denoted by the symbol η and is the metric used in special relativity."
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