Is it ever possible to be at peace with knowledge? — Have you ever had the feeling that the more you know the more stupid you feel? If yes, welcome to the pack. Those of us, who set out on the path of pursuing a PhD degree, are formally trained to feel stupid at each and every step of it. I…

Reviewing the year 2022 2022 has been a year of political shifts around the world. Starting with the war in Ukraine, followed by a number of movements around the world marked by human resilience, the year concluded with a critical election in Brazil. …

The Short Time Fourier Transform (STFT) is a special kind of time-frequency analysis (others are wavelet analysis etc.) used in cases where it is important to monitor the evolution of certain frequencies with time. Workflow: Slice-up the time domain signal into small segments by sliding a defined window. Take Fourier…

“Well, everything changed in the field, he came, and it was like night and day. It was a revolution.” — The M.I.T. mathematician Michael Artin, who worked with Grothendieck in the early sixties, laughed when asked about Grothendieck’s contributions to the field of mathematics. Grothendieck was born in Berlin on…

Excerpt from autobiography of the great freedom fighter of India: Netaji Subhash Chandra Bose — In this strange journey of life, we often find ourselves at junctures where we feel clueless; not sure of a secure future, or whether a ‘secure future’ even makes any sense at all given the uncertain/insecure times that we live in! These questions are abstract: at the same time, can…

In this post, our goal is to measure the sizes of various objects in an image. A similar toolkit can be used to measure various other properties like perimeter, orientation, elipticity etc. from microscopic images for scientific image analysis. General steps for extracting information on objects in any image are…

In this post, I’ll outline how to fit a 2D contour plot using the non-linear least-square curve fitting method. I’ll use a manually defined simple 2D contour plot. But this procedure can be extended to any 2D contour, in principle. Import libraries: We need numpy, matplotlib libraries along with curve_fit…

Motivation: We want to see here how does the probability density evolve with time for the eigenstate of a quantum system vs a superposition of states, i.e. linear combinations of eigenstates. We use simple harmonic oscillator (SHO) as our model system. Disclaimer: My explanations of the steps are pathetically brief…

A letter to Hamburg The desperation of life towards continuity is quite amazing. It might not be apparent on a day when you’re all charged up and can’t wait to take on the world. However, it sneaks in on those days when you find no incentive or hope at all. Everyone in the world…