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Complex complex numbers

[original idea]

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We apply, in the complex numbers, the same line of thought that led to the very creation of the complex themselves. In addition, we consider multiple imaginary numbers, and generalize both ideas altogether.

https://doi.org/10.31219/osf.io/485kj

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 105, 2020 [EB]

Open Knowledge Base: Resources and Units of Knowledge

[original insight]

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This paper is about highlighting two categories of knowledge bases, one built as a repository of links, and the other, based on units of knowledge.

https://doi.org/10.31219/osf.io/7vayt

Open Collaboration

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Op. J. Math. Phys.
Volume 2, Article 104, 2020 [EA]

Open Mathematics Knowledge Base

[knowledge base]

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We present a list of mathematical results for future implementation in a digital Open Mathematics Knowledge Base.

https://doi.org/10.31219/osf.io/evq8a

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 103, 2020 [DZ]

The singularity of the universe

[microresearch]

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We address a discussion on the finite nature of the initial singularity and proposes a justification for a more general principle of energy conservation.

https://doi.org/10.31219/osf.io/z7gc6

Open Quantum Collaboration

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Op. J. Math. Phys.
Volume 2, Article 102, 2020 [DY]

Mathematical tags of group theory

[microreview]

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I present a collection of mathematical results regarding group theory organized by tags.

https://doi.org/10.31219/osf.io/9xk68

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 101, 2020 [DX]

Counting with groups: a concise approach

[microreview]

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Some definitions and results for counting with groups are presented within the fewest words and symbols as possible.

https://doi.org/10.31219/osf.io/9hdwj

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 100, 2020 [DW]

Scientific Tags

[original idea]

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An alternative model of scientific tags is proposed in addition to the present publishing system of articles.

https://doi.org/10.31219/osf.io/tahx5

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 99, 2020 [DV]