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Abstract

adnus (AdNuS): Advanced Number Systems. adnus is a Python library that provides an implementation of various advanced number systems. This library is designed for mathematicians, researchers, and developers who need to work with number systems beyond the standard real and complex numbers. Features Harmonic and Oresme Sequences: Functions to generate harmonic numbers and Oresme sequences. Bicomplex Numbers: A class for bicomplex numbers with full arithmetic support. Neutrosophic Numbers: Classes for neutrosophic numbers, including their complex and bicomplex extensions. Hyperreal Numbers: A conceptual implementation of hyperreal numbers. Extensible Design: Built with an abstract base class to easily extend and add new number systems. Fully Typed: The library is fully type-hinted for better code quality and maintainability. Real numbers Complex numbers Quaternion numbers Octonion numbers Sedenion numbers Pathion numbers Chingon numbers Routon numbers Voudon numbers Installation To install the library, clone the repository and use Poetry: git clone https://github.com/WhiteSymmetry/adnus.git cd adnus poetry install Kullanım (Türkçe) / Usage (English) Here's a quick overview of how to use the different number systems available in adnus. Bicomplex Numbers import adnus as ad #from adnus import BicomplexNumber z1 = ad.BicomplexNumber(1 + 2j, 3 + 4j) z2 = ad.BicomplexNumber(5 + 6j, 7 + 8j) print(f"Addition: {z1 + z2}") print(f"Multiplication: {z1 * z2}") Neutrosophic Numbers import adnus as ad # from adnus import NeutrosophicNumber n1 = ad.NeutrosophicNumber(1.5, 2.5) n2 = ad. NeutrosophicNumber(3.0, 4.0) print(f"Addition: {n1 + n2}") print(f"Multiplication: {n1 * n2}") import adnus as ad C = ad.cayley_dickson_construction(ad.Complex) print(C(3-7j)) import adnus as ad q1 = ad.Quaternion(1, 2, 3, 4) q2 = ad.Quaternion(5, 6, 7, 8) print(f"Quaternions: {q1} * {q2} = {q1 * q2}") Running Tests To ensure everything is working correctly, you can run the included tests using pytest: poetry run pytest Kurulum (Türkçe) / Installation (English) Python ile Kurulum / Install with pip, conda, mamba pip install adnus -U python -m pip install -U adnus conda install bilgi::adnus -y mamba install bilgi::adnus -y pip uninstall adnus -y pip install -U adnus python -m pip install -U adnus Github Master Kurulumu / GitHub Master Installation Terminal: pip install git+https://github.com/WhiteSymmetry/adnus.git Jupyter Lab, Notebook, Visual Studio Code: !pip install git+https://github.com/WhiteSymmetry/adnus.git or %pip install git+https://github.com/WhiteSymmetry/adnus.git

Keywords

Statistics and Probability, Advanced Number Systems, Computer Sciences, adnus, Physics, Physical Sciences and Mathematics, FOS: Mathematics, Mathematics

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    popularity
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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average