The Mathswariz blog https://www.mathswariz.uk/blog/ 2026-11-08T00:00:00Z Mathswariz On the Equations of Parabolas and Conic Sections https://www.mathswariz.uk/blog/on-the-equations-of-parabolas-and-conic-sections/ 2026-11-08T00:00:00Z 2026-11-08T00:00:00Z This article covers the geometric definition of conic sections, the standard assumptions to derive the Cartesian equation of a parabola, and why these assumptions cause no loss of generality. It also details how to find the equation when the focus is not given in standard form. Making sense of the first axiom of quantum mechanics- Part 1 https://www.mathswariz.uk/blog/making-sense-of-the-first-axiom-of-quantum-mechanics-part-1/ 2026-10-25T00:00:00Z 2026-10-25T00:00:00Z Why a Hilbert space structure ( H, 0.05cm + ,0.05cm , 0.05cm < | > ) is suited to model quantum systems ?