A multivalued infinity

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We define 0/0 as the complex function f(z) = z.

https://doi.org/10.31219/osf.io/vtjy7

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 89, 2020 [DL]

Dirac delta regularization

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I present a finite result for the Dirac delta “function.”

https://doi.org/10.31219/osf.io/5vfth

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 86, 2020 [DI]

Quadratic convergence of a multivalued series (S+)

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We use the Infinity Theorem to find two possible values for S+.

https://doi.org/10.31219/osf.io/rx79h

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 85, 2020 [DH]

Sum of all natural numbers

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1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + … = ?

https://doi.org/10.31219/osf.io/yx28b

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 83, 2020 [DF]

The infinity theorem

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The infinity theorem is presented stating that there is at least one multivalued series that diverge to infinity and converge to infinite finite values.

https://doi.org/10.31219/osf.io/9zm6b

Open Mathematics Collaboration

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Op. J. Math. Phys.
Volume 2, Article 75, 2020 [CX]