Norm, normal and disruption: Introductory notes

Introductory notes in analysis

Introductory notes in topology

Introductory Machine Learning Notes

Machine Learning has become a key to develop intelligent systems and analyze data in science and engineering. Machine learning engines enable systems such as Siri, Kinect or the Google self driving car, to name a few examples. At the same time machine learning methods help deciphering the information in our DNA and make sense of the flood of information gathered on the web. These notes provide ...

Review notes Introductory Schubert calculus

We review here the Grassmann variety, Schubert cells, Schubert subvarieties and then Schubert cycles and how to compute their product. We then review vector bundles over the sphere, clutching functions and the universal bundle.

Introductory notes on dynamic semantics ⇤

This thesis breaks with a long semantic tradition—going back at least to Frege, and running through Montague, Davidson, Lewis and beyond—which revolves around the individual sentence, articulating the meaning of all linguistic expressions in terms of their contributions to the truth-conditions of the sentences in which they occur. By shifting the locus of truth-conditions in systematic theorizi...