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15
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Properties of a 3D Julia set from squaring a 3D number?

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#convergence-divergence #dynamical-systems #3d #fractals #hypercomplex-numbers
51
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Would some of the solutions to this function be considered hypercomplex numbers?

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#complex-numbers #quaternions #hypercomplex-numbers
67
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Is there a direct limit in the category of rings for hypercomplex numbers

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#ring-theory #category-theory #limits-colimits #hypercomplex-numbers
34
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colinearity between complex vectors

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#linear-algebra #hyperbolic-geometry #hypercomplex-numbers
139
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What is this field in $\mathbb{R}^4$ that contains both the real and complex numbers called?

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#abstract-algebra #complex-numbers #quaternions #number-systems #hypercomplex-numbers
33
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Geometric explanation of Fueter-Sce-Qian theorem and similar situations

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#complex-geometry #harmonic-analysis #quaternions #clifford-algebras #hypercomplex-numbers
50
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Imagining an exponential "hypercomplex" system

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#abstract-algebra #hypercomplex-numbers #dual-numbers
56
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Real usage of “pure” quaternions in stereometry?

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#geometry #euclidean-geometry #quaternions #solid-geometry #hypercomplex-numbers
740
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Relationship between Levi-Civita symbol and Grassmann numbers?

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#tensors #exterior-algebra #hypercomplex-numbers
376
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Are dual numbers a special case of grassmann numbers?

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#noncommutative-algebra #hypercomplex-numbers
579
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Cayley-Dickson construction: a general rule for multiplying imaginary units?

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#abstract-algebra #octonions #hypercomplex-numbers
2.5k
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What is the difference between Quaternions and Bicomplex Numbers?

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#complex-numbers #quaternions #hypercomplex-numbers
80
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Proving that $\mathbb{C}$ has a natural definition

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#abstract-algebra #complex-numbers #hypercomplex-numbers
153
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Is there a generaliztion of phasors to n-argument sine waves?

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#complex-numbers #hypercomplex-numbers
711
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The "argument" of a quaternion

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#complex-analysis #quaternions #hypercomplex-numbers

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