Split-complex number
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High Quality Content by WIKIPEDIA articles! In abstract algebra, the split-complex numbers (or hyperbolic numbers) are a two-dimensional commutative algebra over the real numbers different from the complex numbers.Geometrically, multiplication of split-complex numbers preserves the (square) Minkowski norm (x2 y2) in the same way that multiplication of complex numbers preserves the (square) Euclidean norm (x2 + y2). Unlike the complex numbers, the split-complex numbers contain nontrivial idempotents (other than 0 and 1), as well as zero divisors, and therefore they do not form a field.Thhe…mehr

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High Quality Content by WIKIPEDIA articles! In abstract algebra, the split-complex numbers (or hyperbolic numbers) are a two-dimensional commutative algebra over the real numbers different from the complex numbers.Geometrically, multiplication of split-complex numbers preserves the (square) Minkowski norm (x2 y2) in the same way that multiplication of complex numbers preserves the (square) Euclidean norm (x2 + y2). Unlike the complex numbers, the split-complex numbers contain nontrivial idempotents (other than 0 and 1), as well as zero divisors, and therefore they do not form a field.Thhe split-complex number is one of the concepts necessary to read a 2 × 2 real matrix.