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Square roots of $j$ and $ε$

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#radicals #split-complex-numbers
282
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What is the symbol for split-complex numbers?

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#notation #split-complex-numbers
74
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Split numbers and linear independence of multiplicative inverses

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#linear-algebra #abstract-algebra #group-theory #quaternions #split-complex-numbers
182
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Relation between hyperbolic numbers and hyperbolic functions

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#abstract-algebra #trigonometry #idempotents #split-complex-numbers
381
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Reference Request: Split-Complex Numbers

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#geometry #reference-request #split-complex-numbers
424
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matrix representations of complex, dual and split-complex numbers

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#complex-numbers #representation-theory #split-complex-numbers
114
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What shape is the split-complex projective line?

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#projective-geometry #split-complex-numbers
151
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In split-complex numbers, why modulus of $z=a+bj$ is $a^2-b^2$ and not $\sqrt{a^2-b^2}$?

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#complex-numbers #normed-spaces #split-complex-numbers
1.3k
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Complex numbers, set of values for which z will be purely real or imaginary.

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#complex-numbers #split-complex-numbers
157
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How do you plot $f(x)=x^2$ in the split-complex plane?

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#graphing-functions #split-complex-numbers
359
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Fourier-like transformation with split-complex numbers?

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#fourier-transform #hypercomplex-numbers #split-complex-numbers
78
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Is there a meaningful way to define $ij$, where $i$ is the imaginary unit and $j$ is the split-complex unit?

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#complex-numbers #split-complex-numbers
135
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How can one generalize the split-complex algebra to a coordinate space with an arbitrary number of asymptotes?

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#conic-sections #clifford-algebras #geometric-algebras #hypercomplex-numbers #split-complex-numbers
96
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Does multiplication by the split-complex number $j$ have a geometric interpretation?

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#complex-numbers #hyperbolic-geometry #split-complex-numbers
126
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uniquess of hyperbolic numbers

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#hyperbolic-geometry #split-complex-numbers

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