Posts

• Sun 30 August 2026 - A Tree Center Is One Vertex or One Edge [mathematics] [trees] [graph distance] [structural graph theory]
• Mon 17 August 2026 - Euler's Pentagonal Theorem Expands the Partition Denominator [mathematics] [integer partitions] [Young tableaux] [q-analogues]
• Fri 08 May 2026 - The Jacobian Criterion Detects Smooth Complete Intersections [mathematics] [smoothness] [singularities] [etale morphisms] - updated: Mon 10 August 2026
• Sat 08 August 2026 - Artin--Schreier Extensions Are Additive [mathematics] [Kummer theory] [Artin--Schreier theory] [Hilbert 90]
• Sun 25 June 2023 - Poisson Brackets Differentiate Observables along Hamiltonian Flow [mathematics] [symplectic geometry] [Hamiltonian systems] [Morse theory] - updated: Wed 05 August 2026
• Fri 31 July 2026 - Multiplicative Hilbert 90 Describes Norm-One Elements [mathematics] [Kummer theory] [Artin--Schreier theory] [Hilbert 90]
• Thu 07 May 2026 - Zero Divisors on a Finite Module Lie in Associated Primes [mathematics] [primary decomposition] [associated primes] [support] - updated: Wed 22 July 2026
• Thu 08 January 2026 - Convex Hull Trick Minimizes a Family of Affine Functions [mathematics] [polynomial algorithms] [optimization] [duality] - updated: Sun 28 June 2026
• Sun 24 May 2026 - Jacobi Fields Describe Infinitesimal Families of Geodesics [mathematics] [curvature] [Gauss--Bonnet] [Jacobi fields] - updated: Mon 22 June 2026
• Wed 17 June 2026 - The Fixed Field of the Full Galois Group Is the Base [mathematics] [splitting fields] [separability] [Galois theory]
• Tue 15 July 2025 - Zorn's Lemma Converts Chain Bounds into a Maximal Element [mathematics] [set theory] [cardinals] [choice] - updated: Mon 15 June 2026
• Thu 11 June 2026 - Gram--Schmidt Produces an Orthonormal Basis [mathematics] [inner products] [spectral theorem] [quadratic forms]
• Wed 11 September 2019 - Proj Glues Degree-Zero Localizations [mathematics] [projective geometry] [Proj] [Hilbert polynomials] - updated: Wed 03 June 2026
• Sat 28 December 2024 - Symplectic Euler Preserves Phase-Space Geometry Better than Energy [mathematics] [dynamical systems] [chaos] [Lyapunov exponents] - updated: Mon 18 May 2026
• Sat 23 March 2024 - A Pullback Is a Fibre Product of Morphisms [mathematics] [category theory] [functors] [adjunctions] - updated: Sun 17 May 2026
• Thu 04 February 2021 - A Modular Form Has a Weighted Transformation Law [mathematics] [modular forms] [q-series] [partitions] - updated: Sat 02 May 2026
• Sat 04 April 2026 - The Matrix Exponential Solves a Constant Linear System [mathematics] [multilinear algebra] [tensor products] [matrix functions]
• Tue 29 July 2025 - Euler's Formula Forces a Planar Edge Bound [mathematics] [planar graphs] [coloring] [duality] - updated: Fri 03 April 2026
• Wed 30 April 2025 - The Law of Total Expectation Averages Conditional Means [mathematics] [conditional probability] [random variables] [distributions] - updated: Thu 02 April 2026
• Wed 01 April 2026 - Transcendence Degree Counts Algebraically Independent Parameters [mathematics] [field extensions] [minimal polynomials] [degrees]