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How are Quaternions derived from Complex numbers or Real numbers?

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#complex-numbers #quaternions #hypercomplex-numbers
66
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Polar form of Grassmann numbers?

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#abstract-algebra #hypercomplex-numbers
2.9k
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How to calculate sin/cos/tan of a Quaternion?

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#trigonometry #complex-numbers #quaternions #hypercomplex-numbers
2.2k
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Are there "3+ dimensional" complex numbers?

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#complex-numbers #hypercomplex-numbers
45
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Are integers ever used in calculations involving hypercomplex numbers?

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#integers #hypercomplex-numbers
152
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Is $f(a+b\epsilon)=f(a)+b\epsilon f'(a)$ true for non-analytic smooth functions of dual argument

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#real-analysis #derivatives #analyticity #hypercomplex-numbers
86
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Systems with Principle Roots of Unity

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#matrices #ring-theory #intuition #roots-of-unity #hypercomplex-numbers
232
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Inquiries around a new number system

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#number-systems #hypercomplex-numbers
107
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A Particular Quotient of Polynomials over Hyperbolic Numbers: is it Anything?

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#abstract-algebra #polynomials #hypercomplex-numbers #split-complex-numbers
258
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Triangle inequality for split-complex numbers

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#quadratic-forms #hyperbolic-geometry #hypercomplex-numbers #split-complex-numbers
484
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Residue theorem for split complex numbers

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#complex-analysis #complex-integration #hyperbolic-geometry #hypercomplex-numbers #split-complex-numbers
469
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Any references on supercomplex/surcomplex numbers?

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#complex-numbers #surreal-numbers #hypercomplex-numbers
3.7k
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Why are properties lost in the Cayley–Dickson construction?

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#abstract-algebra #quaternions #octonions #sedenions #hypercomplex-numbers
112
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Vectors of complex or hypercomplex numbers?

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#complex-numbers #quaternions #hypercomplex-numbers
103
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Why does not identity theorem works for Quaternions, Octonions, Sedenions etc?

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#complex-analysis #quaternions #hypercomplex-numbers

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