Lagrange multipliers theorem on Banach spaces and optimal control problems

Using the Lagrange multipliers theorem on Banach spaces to solve optimal control problems

May 11, 2026 · 1 min · Pantelis Sopasakis

Fréchet derivative: a tutorial

Fréchet derivative

May 10, 2026 · 10 min · Pantelis Sopasakis

Subgroups of Rubik's cube group

Subgroups of Rubik’s cube group

September 10, 2025 · 2 min · Pantelis Sopasakis

Resultants

Resultants

August 12, 2025 · 11 min · Pantelis Sopasakis

What is a Gröbner basis and how to make one

Gröbner bases, S-polynomials, Buchberger’s criterion and algorithm

August 11, 2025 · 19 min · Pantelis Sopasakis

Hilbert Basis Theorem

Hilbert Basis Theorem

August 5, 2025 · 4 min · Pantelis Sopasakis

Ideals generated by polynomials

Ideals generated by polynomials

August 4, 2025 · 9 min · Pantelis Sopasakis

Division of multivariate polynomials

Division of multivariate polynomials

August 3, 2025 · 7 min · Pantelis Sopasakis

Monomial ideals and Dickson's lemma

Monomial ideals and Dickson’s lemma

August 2, 2025 · 6 min · Pantelis Sopasakis

Monomial orderings

Monomial orderings

August 1, 2025 · 7 min · Pantelis Sopasakis