Finding square roots takes work, but at least every number has a square root, even if it may be complex. What about matrices--must they have square roots? And what does that question even mean? (This question comes up in both applied and pure math.)
These are the talks for cSplash 2016.
In this lecture, we will first introduce a new platform for collecting wisdom from crowds, which is called ``crowdsourcing". This is a new technique for collecting answers to various questions with a little bit payment. For example, you could use crowdsourcing to collect ratings and recommendations to movies. We will have a brief overview of crowdsourcing, introduce the popular platform called Amazon Mechanical Turk (https://www.mturk.com/mturk/welcome), and unveil the algorithms used in these platforms.
Machine learning is used all around us: in Microsoft's Kinect, Apple's Siri, Google's self-driving cars, Facebook's face recognition, Amazon.com's recommendations. Come and
discover what it takes to create an algorithm that learns from data.
Modern algebra is the study of sets of things --- like numbers or functions --- combined with operations on those sets. The basic algebraic structure is called a "group," and other structures built on groups are called "rings," and "fields." In this class, we're going to look at what groups are, how they work, how we can classify them, and what real situations we can describe using groups. A focus will be on applications of group theory and algebra to describe other mathematical situations, like permutations and symmetry.
While mathematics and music are now seen as divorced, with math belonging to the left brain and music to the right, the two disciplines were actually developed and taught jointly for many centuries until extraneous factors forced them apart in the Renaissance.