Introduction to 2018-1

Introduction 1 . Introduction to Nanotechnology

A biological system can be exceedingly small. Many of the cells are very tiny, but they are very active; they manufacture various substances; they walk around; they wiggle; and they do all kinds of marvelous things – all on a very small scale. Also, they store information. Consider the possibility that we too can make a thing very small which does what we want – that we can manufacture an objec...

1 - Introduction to hypergraphs

We begin with an introduction to hypergraphs, which gives a taste of different representations of hypergraphs, linear hypergraphs, and Turán-type problems, including existence of Turán densities and classification of zero Turán densities. Thereafter we delve deeper into some of the classical theorems of hypergraph theory, including various theorems on intersecting families such as Sperner’s The...

1: Introduction to Proofs

By the end of this course, we would like to be able to understand and create proofs. Since logic is the foundation of a mathematical proof, we begin the course with basic logic. However, even before we discuss logic, we have to discuss precision of language. Precision of language is necessary in creating logical statements. To give an example of how logic and precision of language are important...

1 Introduction to Lidar

1 Introduction to Biometrics

Biometrics deals with identification of individuals based on their biological or behavioral characteristics. Biometrics has lately been receiving attention in popular media. it is widely believed that biometrics will become a significant component of the identification technology as (i) the prices of biometrics sensors continue to fall, (ii) the underlying technology becomes more mature, and (i...