History Rhymes: Lessons from Lusitania

(highly borrowed from Naming Infinity) What’s distinctive about Russian mathematics of early 20th century is perhaps to see one’s work and interests as closely connected to issues of philosophical, spiritual, and ideological nature. In simple words, to see knowledge as an interlinked, united whole. There is a sense of obligation to practice such a mindset,Continue reading “History Rhymes: Lessons from Lusitania”

Coral reef ‘white syndrome’ mitigation strategies: part 1

Last month, I was invited to become a member of UNAI, Mexico (UNIDAD NACIONAL DE ASOCIACIONES DE INGENIEROS A.C.). The organisation is a legally constituted civil association which is integrated with 72 other organisations in Mexico to find adaptation and mitigation strategies to the impact of climate change through engineering solutions. UNAI regularly attends ClimateContinue reading “Coral reef ‘white syndrome’ mitigation strategies: part 1”

Mathematical model for computability using neural networks: Part 1 (RNN)

Prologue Ongoing advances in LLMs call for a mathematical model that can analytically model its computability. To do so, it is important to start with a basic model of LLM that captures the core properties, still allowing mathematical tractability. Let’s start with mathematical model for RNNs. Introduction Consider an RNN network $\mathbb{N}$ composed of $N$Continue reading “Mathematical model for computability using neural networks: Part 1 (RNN)”

Multitudes of beliefs in science

It is often said that science and scientists work objectively, and logic, rationalism governs science. While for the most part of the process it is true, except that the underlying axioms or beliefs dictate which thread of rationalism a particular scientist weaves through their career. This is an important question to consider, given that scienceContinue reading “Multitudes of beliefs in science”

Navier-Stokes regularity, fluid computing, and machine learning workshop

This post is intended as an advertisement or extended abstract and open invitation for community of researchers who work at the interface of: (a) fluid mechanics; (b) machine learning and analog computing; (c) functional analysis of Navier-Stokes equations, to attend a series of talks in an upcoming workshop at the London Institute for Mathematical Sciences.Continue reading “Navier-Stokes regularity, fluid computing, and machine learning workshop”

A new preprint is out: experimental evidence of hydrodynamic singularity

On January 2020, my collaborator Dr Victor Kang saw a geometrically appealing observation, while performing receding-contact-line tests on pitcher fluids (as part of our previous collaboration; see the article here). What he observed was the formation of fractal-like ordered structures when the drop of a pitcher fluid is withdrawn inwards. These structures were formed atContinue reading “A new preprint is out: experimental evidence of hydrodynamic singularity”

Few Drops of Consciousness: a new book out

This blog is an update of my new poetry book, titled, “Few Drops of Consciousness”. The title might hint that this book has got to do something with consciousness. But it would mean that the word “drop” is meaningless here – but this is not true. This book is, in its core, a dedication inContinue reading “Few Drops of Consciousness: a new book out”

“A complexity perspective on fluid mechanics” : Blog

This post is a summary of the new preprint that can be accessed here. Contributions: The article was conceived and written after a long series of inspiring discussion with Dr Giulia Marcucci and later joined by an undergraduate student, Adnan Mahmud, who I supervised 2 years ago at the department of CEB, Cambridge. Informal story:Continue reading ““A complexity perspective on fluid mechanics” : Blog”

Digital Fluid Mechanics

“Computer science is no more about computers than astronomy is about telescopes”. This statement, albeit poetic, has its origins in another poetic catchphrase “It from Bit” popularised by J.A. Wheeler in 1990s, arguing that information is at the core of physical systems. Information, encoded into bits, 0s and 1s, can be useful to compute thingsContinue reading “Digital Fluid Mechanics”