Mathcube·Sep 18Lagrange Multiplier: What λ Actually Means, and Its Unitsλ is not scaffolding: it is a price with units, and it resurfaces as a shadow price, a solver’s dual, and inverse temperature.A response icon2A response icon2
Giovanni Cortes·May 1Beyond the Line: Maximizing the Margin with Linear SVMsIn one of my previous posts, I tried to demonstrate Lagrange multipliers as clearly as possible. The real reason for that explanation was…
Ruimin Pan·Mar 23A milkmaid named LagrangeImagine this: a sunny morning on the farm, a milkmaid is sent to get the day’s milk. She quickly spotted the cow that’s grazing in the…
Giovanni Cortes·Mar 3PCA: Proving the Magic with Pure Linear AlgebraWe’ve all seen the advice. If you ask, “How do I become a great AI researcher?” the answer is always: “Master the foundations — Linear…A response icon3A response icon3
Giovanni Cortes·Feb 17The Hidden Treasure in a Valley: A Visual Guide to Lagrange MultipliersLately, I’ve been rediscovering the beauty of Lagrange’s equations. I regret not paying more attention to them from a deeper, more…
VectorWorks Academy·Dec 30, 2025What Does “Dual Variable of a Constraint” Really Mean?If you have worked with optimization, machine learning, or economics, you have probably encountered phrases like:
InPython in Plain EnglishbyPraneelb·Sep 9, 2025The Spark of SilverHistory repeats itself. At the time of writing this, silver has crossed the 40 dollar mark for the third time in modern history, (1980…
Jean Michael Gandin·Aug 29, 2025Did immigration raise housing prices?This is a recurring thesis in anti-immigration discourse. Let’s examine it with some math.
