Category Archives: Math

Solvitur Ambulando

Posted on November 6, 2019 by Aram Bingham

An algebraist, a finitist, and a determinist walk into a statistics classroom. They are all the same person and worse: the teacher, so the joke is on the students. For reasons still partly obscure to me, my department has given … Continue reading →

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What is an Infinitesimal?

Posted on August 28, 2019 by Sarah K. Salmon

A guest post from Reginald Anderson at Kansas State University. First-time learners of calculus often struggle with the notion of an infinitesimal, and considering dydx literally as a fraction can lead students astray in Calculus III and differential equations, when … Continue reading →

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A Eulogy Of Lipschitz Maps

Posted on February 26, 2018 by Behnam Esmayli

A Lipschitz map (/function) is one that does not extend distances by more than a pre-assigned factor: f:X⟶Y is Lipschitz if there exists an L∈R such that $$ \forall x, \ \  \forall y \ … Continue reading →

Posted in Analysis, Math | Tagged , , , | 1 Comment

Introduction to Ideal Class Groups

Posted on February 10, 2018 by Tom Gannon

Algebraic number theory is a really interesting subject, but unlike some other subjects, it’s not 100% clear what objects people study. This post provides an introduction to the class group of a finite dimensional field extension of Q, an object often … Continue reading →

Posted in Math, Number Theory, Uncategorized | Tagged , | 1 Comment

Intersection of a Chain of Subsets

Posted on November 21, 2017 by Behnam Esmayli

Assume {Fx}x∈Γ is a collection of subsets (of a not-so important set!) such that every two are comparable, i.e for any x and y, either Fx⊂Fy   or $\ \ F_x \supset F_y \ … Continue reading →

Posted in Analysis, Math | Tagged , , , | 2 Comments