# lagrange

Published articles for lagrange.

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## A Reminder of Lagrange Multipliers for Optimization Problems

DevFeed: [A Reminder of Lagrange Multipliers for Optimization Problems](<https://devfeed.tech/articles/lagrangians-for-the-amnesiac-40334.md>)

Original publisher: [Read original article](<https://www.jeremykun.com/2013/11/30/lagrangians-for-the-amnesiac/>)

Published: 2013-11-30T09:00:50Z

Content type: tutorial

Language: en

Sources: [Jeremy Kun](<https://devfeed.tech/sources/jeremy-kun.md>)

Topics: [Optimization](<https://devfeed.tech/topics/optimization.md>), [function](<https://devfeed.tech/topics/function.md>), [Variable](<https://devfeed.tech/topics/variable.md>)

Tags: [convex-functions](<https://devfeed.tech/tags/convex-functions.md>), [function](<https://devfeed.tech/tags/function.md>), [gradient-descent](<https://devfeed.tech/tags/gradient-descent.md>), [lagrange](<https://devfeed.tech/tags/lagrange.md>), [lagrange-multipliers](<https://devfeed.tech/tags/lagrange-multipliers.md>), [linear-algebra](<https://devfeed.tech/tags/linear-algebra.md>), [optimization](<https://devfeed.tech/tags/optimization.md>), [problems](<https://devfeed.tech/tags/problems.md>), [variable](<https://devfeed.tech/tags/variable.md>), [vectors](<https://devfeed.tech/tags/vectors.md>)

### AI overview

A tutorial-style reminder of Lagrange multipliers for optimization problems. It reviews gradients, partial derivatives, dot products, and directional change for multivariable functions.

### Source excerpt

For a while I've been meaning to do some more advanced posts on optimization problems of all flavors. One technique that comes up over and over again is Lagrange multipliers, so this post is going to be a leisurely reminder of that technique. I often forget how to do these basic calculus-type things, so it's good practice. We will assume something about the reader's knowledge, but it's a short list: know how to operate with vectors and the dot product, know how to take a partial derivative, and know that in single-variable calculus the local maxima and minima of a differentiable function $ f(x)$ occur when the derivative $ f'(x)$ vanishes.

## Groups -- A Primer

DevFeed: [Groups -- A Primer](<https://devfeed.tech/articles/groups-a-primer-40295.md>)

Original publisher: [Read original article](<https://www.jeremykun.com/2012/12/08/groups-a-primer/>)

Published: 2012-12-08T23:42:10Z

Content type: article

Language: en

Sources: [Jeremy Kun](<https://devfeed.tech/sources/jeremy-kun.md>)

Topics: [Mathematics](<https://devfeed.tech/topics/mathematics.md>), [structure](<https://devfeed.tech/topics/structure.md>), [Math and Logic](<https://devfeed.tech/topics/math-and-logic.md>), [Cryptography](<https://devfeed.tech/topics/cryptography.md>)

Tags: [applications](<https://devfeed.tech/tags/applications.md>), [group-actions](<https://devfeed.tech/tags/group-actions.md>), [groups](<https://devfeed.tech/tags/groups.md>), [lagrange](<https://devfeed.tech/tags/lagrange.md>), [mathematics](<https://devfeed.tech/tags/mathematics.md>), [public-key](<https://devfeed.tech/tags/public-key.md>), [set-theory](<https://devfeed.tech/tags/set-theory.md>), [structure](<https://devfeed.tech/tags/structure.md>), [symmetry](<https://devfeed.tech/tags/symmetry.md>), [theory](<https://devfeed.tech/tags/theory.md>)

### AI overview

This primer introduces group theory as the study of algebraic structures that can describe operations beyond ordinary numbers. It motivates the subject through examples involving symmetry, squares, and Rubik's Cube, and notes applications including public-key cryptography, error detection, crystal structures, particle physics, and mathematical biology.

### Source excerpt

The study of groups is often one's first foray into advanced mathematics. In the naivete of set theory one develops tools for describing basic objects, and through a first run at analysis one develops a certain dexterity for manipulating symbols and definitions. But it is not until the study of groups that one must step back and inspect the larger picture. The main point of that picture (and indeed the main point of a group) is that algebraic structure can be found in the most unalgebraic of settings.