Agony and Ecstasy of Mathematics

There are two kinds of people in the world, those who enjoy mathematics and those who don’t. What is interesting is that even those who enjoy mathematics don’t quite agree on how should mathematics be taught. On one side there are people like the famous mathematician John Conway who would carry fruits and vegetables to the classroom to teach students about geometry and curvature while on the other side there are people like the famous computer scientist Dijkstra who insist that right from the start, students should learn rigorous abstract concepts. My own belief is that majority of people develop appreciation for mathematics only through specific examples and that it takes a level of expertise before which one may start appreciating rigorous mathematics. I belong to the first category of people who think that playing games, looking at bicycle tracks and thinking of real life situations is a much better way of getting introduction to mathematics.

Network Analysis with R

We are organizing a workshop “Network Analysis with R” at the Ahmedabad University, all interested are welcome. Here are the details.

Title : Network Analysis with R
Date: 29 February 2020

Venue: Ahmedabad University

Introduction
Ahmedabad University in collaboration with IEEE student branch of Ahmedabad University invites applications for a one day workshop entitled “Network Analysis with R”. The workshop aims at introducing the fundamental concepts of graph theory and methods of network analysis and visualisation. Network representation of data provides valuable information about the nature of interactions within the components of the system. Graph theory based analysis is now widely used to explain the information flow across the nodes constituting the network and also to hypothesize strategies for efficient channelling of resources across the network. Researchers in fields like biology, computer, management, and social sciences frequently employ techniques of network analysis and modeling.  Participant would have an opportunity of hands-on learning using R programming environment. 

Who should attend this workshop? 
The workshop would be of use to anyone who is interested in learning network analysis which can be applied to do research in various disciplines. Participation is open to faculty, post-docs, Phds, masters, and undergraduate students. Previous knowledge of programming is not an essential requirement to register for this workshop. 

To apply, please register at (google form link), By 21 February 2020.

Confirmation will be intimated by: 24 February 2020.

Confirmed participants will be required to pay the registration fees of Rs. 250/- on the day of workshop. Participants should bring their laptops.

Relaxation

This is what your heart does when it pushes blood around your body, what some electrical circuits do as they charge and discharge and cell division too, likely does that. What I am talking about is “relaxation oscilations”.

Remember the normal heartbeat patterns where you see a spike followed by very little activity and then a spike again? That is an example of relaxation oscillations. A number of chemical, mechanical and hybrid systems are known to exhibit such oscillations. They crop up in control problems too as we shall see.

In many systems that are controlled, the basic mechanism is this. If the system is going to stop, the control puts energy into it, to keep it going. On the other hand, if the system is taking too much energy, the control reduces it.

Think about it in terms of the hert. If it tries to stop, the body is designed to keep it going and if its potential is going too high the body is designed to bring it back to normal too. So what we get is known as the phenomena of nonlinear damping. In such oscillations, for small value of oscillations variable, the damping is large and negative. For large variable value the damping is large and positive to reduce the oscillations. This finally gives the blip like oscillations that we see in the heart. A textbook example for an interested student is the Van der Pol system.

Essentially nonlinearity rocks.