Discover the beauty and power of mathematical concepts, from fundamental theories to advanced proofs.
July 13, 2026
Modeling Gojo's Infinity from Jujutsu Kaisen with differential geometry: a critique of a kernel-based metric where Gojo's position never appears, and an alternative conformal metric that places him at infinite geodesic distance from every other point in space.
Read moreOctober 29, 2024
This is a proof of the Monotone Subsequence Theorem.
Read moreOctober 28, 2024
This a proof of the Ratio Test for convergence of series.
Read moreOctober 25, 2024
This is a proof that the inverse of a null sequence is not convergent.
Read moreOctober 24, 2024
This is a proof that the n-th root of a positive convergent sequence is also convergent.
Read moreOctober 21, 2024
The closure of a set is the union of the interior of the set and the boundary of the set.
Read moreOctober 18, 2024
Proof the real numbers are a complete field.
Read moreOctober 17, 2024
Constructing the real numbers using Cauchy sequences of rational numbers.
Read moreOctober 16, 2024
This is as proof that a convergent sequence of rational numbers is a Cauchy sequence.
Read moreOctober 9, 2024
This is a derivation of the equation of a circumference from complex numbers.
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