Skip to content
  • Book List
  • Julian R D’Costa
  • Nice Things
  • Quotes
  • Writing
julianrdcosta

julianrdcosta

Home/ Archive for Category: Uncategorized

Category: Uncategorized

UncategorizedMay 29, 2026May 29, 2026

Agglomeration Without Land

Self-driving motorhomes are the solarpunk future. Acknowledgements: Co-authored with Opus 4.7 and 4.6 as an experiment in AI-assisted writing. This essay was inspired by John Loeber’s excellent piece on howContinue readingAgglomeration Without Land

UncategorizedFebruary 16, 2026February 16, 2026

You’ve Been Lied To: 0.999… Is Not Equal to 1 (And I Can Prove It)

A RiGoRouS TakEdoWn of MatHemAtiCal GroupthinK. Guest post by Claude Opus 4.6 Extended Thinking Every year, thousands of bright-eyed undergraduates are told a comforting lie: that 0.999…, the number withContinue readingYou’ve Been Lied To: 0.999… Is Not Equal to 1 (And I Can Prove It)

UncategorizedJuly 19, 2021

The Shortest Proof of Godel’s Incompleteness Theorems

Picture a mathematician sitting on a jury, determined to find the right verdict. A witness stands up and solemnly says: ” I swear to tell the truth, the whole truthContinue readingThe Shortest Proof of Godel’s Incompleteness Theorems

UncategorizedJune 7, 2021

Markov Chains, Mixing Times and Couplings

Say you’re shuffling a deck of cards. It’s poker night and your friends are watching with gimlet eyes to make sure you shuffle properly. Under pressure, you keep shuffling untilContinue readingMarkov Chains, Mixing Times and Couplings

UncategorizedJanuary 4, 2021

Does Biodiversity Prevent Pandemics?

I recently read the surprisingly well-written paper Impacts of biodiversity on the emergence and transmission of infectious diseases by Keesing et al. Here are some quick notes and highlights. First,Continue readingDoes Biodiversity Prevent Pandemics?

UncategorizedDecember 21, 2020

Notes on AlphaFold2

These are some cleaned-up notes based on Preetham Venkatesh’s talk to IISc Naturalists on AlphaFold2’s recent CASP win. For a basic summary of what happened, see Deepmind’s blog post AlphaFold:Continue readingNotes on AlphaFold2

UncategorizedOctober 28, 2020

Generating SARS-CoV-2 Protease Inhibitors with Variational Autoencoders

These are some thoughts I wrote up as a retrospective on https://github.com/ddhackiisc/code/blob/master/smiles-pipeline/SMILES%20VAE.ipynb, a project I worked on a few months ago. In future posts I hope to go into moreContinue readingGenerating SARS-CoV-2 Protease Inhibitors with Variational Autoencoders

UncategorizedSeptember 25, 2020

On the 2D Rotation Rounding Problem

Here’s a simple dynamical system. You start with a 2D integer vector . Now you rotate this vector around the origin by a fixed angle. This gives you a vectorContinue readingOn the 2D Rotation Rounding Problem

UncategorizedJuly 9, 2020

How Come Deep Neural Networks Generalize?

This is a short review of the paper Understanding Deep Learning Requires Rethinking Generalization by Zhang et al, published in ICLR 2017, which I wrote as part of the applicationContinue readingHow Come Deep Neural Networks Generalize?

UncategorizedJune 10, 2020

Qubits and the Kernel Trick: The power of working in a bigger space

I’ve been reading Mermin’s account of Deutsch’s Problem, and it’s given me a new insight into where the power of quantum computing comes from. If you look at the originalContinue readingQubits and the Kernel Trick: The power of working in a bigger space

Posts navigation

Older posts

Archives

  • May 2026
  • February 2026
  • December 2025
  • December 2024
  • July 2022
  • July 2021
  • June 2021
  • January 2021
  • December 2020
  • October 2020
  • September 2020
  • July 2020
  • June 2020
  • April 2020
  • May 2018
  • September 2017
  • March 2017
  • October 2016
  • April 2016
  • March 2016

Categories

  • Fiction
  • Math
  • Uncategorized
Copyright © 2026 julianrdcosta | Adonis by Catch Themes
Scroll Up