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Everything about Split-complex number
Reals with an extra square root of +1 adjoined
In algebra, a split-complex number is based on a hyperbolic unit j satisfying, where. A split-complex number has two real number components x and y, and is written The conjugate of z is Since the product of a number z with its conjugate is an isotropic quadratic form. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Split-complex numberA 5-minute orientation
- Skim a recent paper: Split complex bi-periodic Fibonacci and Lucas numbersInfluential work since 2022
- Pick up a classic book: Cartesian meditationsThe most-reprinted book on the subject
- Go sideways: BiquaternionA closely related topic
- Go sideways: Unit hyperbolaA closely related topic
📖 Definitions
Noun An element of the two-dimensional algebra over the field of real numbers which contains an element ȷ ≠ 1 satisfying ȷ² = 1.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
- No matching papers found.
🆕 Influential since 2022
📚 Books worth reading
Cartesian meditationsEdmund Husserl, Dorion Cairns · 1960
Automate the Boring Stuff with PythonAl Sweigart · 2015
The Conspirators HierarchyJohn Coleman · 1992
Treaty Occupationay ToxicologySuelen Queiroz · 2010
Parallel Programming in C with MPI and OpenMPMichael J. Quinn · 2003
Art since 1900Hal Foster, Rosalind E. Krauss · 2004
Fundamentals of data structures in CEllis Horowitz · 1993
Computer algorithmsEllis Horowitz · 1997
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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- Motor variable In mathematics, a function of a motor variable is a function with arguments and values in the split-complex number plane, much as functions of a complex…
- Isotropic quadratic form In mathematics, a quadratic form over a field F is said to be isotropic if there is a non-zero vector on which the form evaluates to zero; otherwise, it…
- Complex conjugate In mathematics, the complex conjugate of a complex number is the number with an equal real part and an imaginary part equal in magnitude but with opposite…
- Bicomplex number In abstract algebra, a bicomplex number is a pair (w, z) of complex numbers constructed by the Cayley–Dickson process that defines the bicomplex conjugate…
- Glossary of linear algebra This glossary of linear algebra is a list of definitions and terms relevant to the field of linear algebra, the branch of mathematics concerned with linear…
- Composition algebra In mathematics, a composition algebra A over a field K is a not necessarily associative algebra over K together with a nondegenerate quadratic form N that…