Mark Kim-Mulgrewhttps://markkm.com/Recent content on Mark Kim-MulgrewHugo -- gohugo.ioen-usCC-BY-NC 4.0, unless otherwise specified.Tue, 25 Dec 2018 00:00:00 +0000Catshttps://markkm.com/cats/Tue, 25 Dec 2018 00:00:00 +0000https://markkm.com/cats/Cats are very important.Elias M. Stein, 1931-2018https://markkm.com/blog/elias-m-stein/Tue, 25 Dec 2018 00:00:00 +0000https://markkm.com/blog/elias-m-stein/An obituary of Elias M. Stein, one of the most influential mathematicians of the post-World War II era.Reservoir sampling: who discovered Algorithm R?https://markkm.com/blog/reservoir-sampling/Sun, 28 Oct 2018 00:00:00 +0000https://markkm.com/blog/reservoir-sampling/The historical origin of Algorithm R, the first reservoir sampling algorithm.Embeddings in data sciencehttps://markkm.com/blog/embeddings-in-data-science/Tue, 15 Aug 2017 00:00:00 +0000https://markkm.com/blog/embeddings-in-data-science/A quick high-level overview of embeddings in the context of data science.A Crash Course in Logichttps://markkm.com/blog/a-crash-course-in-logic/Sun, 20 Mar 2016 00:00:00 +0000https://markkm.com/blog/a-crash-course-in-logic/At the heart of every mathematical argument is a proposition, a statement that is unambiguously true or false. "The cat is black" is a proposition; "the cat is cute" is not.
Examples and non-examples:
"Mr. Darcy is six feet tall" is a proposition; "Mr. Darcy is tall" is not. "There are more than eight million people living in New York City" is a proposition; "A lot of people live in New York City" is not.Elements of linear algebrahttps://markkm.com/blog/elements-of-linear-algebra/Fri, 27 Nov 2015 00:00:00 +0000https://markkm.com/blog/elements-of-linear-algebra/A survey of algebraic and analytic aspects of vector space theory.Elements of abstract algebrahttps://markkm.com/blog/elements-of-abstract-algebra/Fri, 22 May 2015 00:00:00 +0000https://markkm.com/blog/elements-of-abstract-algebra/A quick survey of elementary abstract algebra, leading up to the classification of finite fields.An introduction to group actionshttps://markkm.com/blog/an-introduction-to-group-actions/Wed, 01 Oct 2014 00:00:00 +0000https://markkm.com/blog/an-introduction-to-group-actions/An introduction to the theory of group actions, covering examples, various counting principles, Sylow's theorems, semidirect products, and extensions.Maximal function theoryhttps://markkm.com/blog/maximal-function-theory/Sun, 14 Sep 2014 00:00:00 +0000https://markkm.com/blog/maximal-function-theory/A survey of the basic theory of the Hardy—Littlewood maximal funtion and its variants.Bochner integrationhttps://markkm.com/blog/bochner-integration/Sun, 15 Dec 2013 00:00:00 +0000https://markkm.com/blog/bochner-integration/A quick overview of the theory of Bochner integration, a vector-valued generalization of the theory of Lebesgue integration.