In the morning on October 6, I was still asleep when I received an email from Greg Scholes, Chair of Department of Chemistry at Princeton: David MacMillan wins Nobel Prize. My first reaction was to shout out: “Holy jeez!” and I jumped out of bed…
The beautiful Harz Mountains sit right at the center of the modern Germany. Its calm ancient forests, its dense trees, its silky fogs and its altitude so close to the sky make it a paradise to clear the mind and cleanse the soul. City dwellers,…
A generalization of Henderson’s theorem (Henderson R. L., Phys. Lett. 1974) is that shows to recover interaction parameters, the entire radial distribution function can be redundant, what is needed is just the ensemble averages of a few “descriptors” of the equilibrium configuration. Please click “download”…
Gaston Darboux dans ses belles années : Formation d’un scientifique engagé This is a presentation that I am going to give on Princeton Research Day (9 May, 2019). If you have any comments, questions or suggestions, please write to hainaw@princeton.edu. 🙂 PART 1 Introduction “We…
This is the second part of a presentation that I am going to give on “1866-1874: the beautiful years of Gaston Darboux”. Because I write the parts backwards, please find the third part here and expect the first part to come out later… Today, in a…
This is the third part of a presentation that I am going to give on “1866-1874: the beautiful years of Gaston Darboux”. Because I write the parts backwards, please expect the first and the second parts to come out later… Since the 1980s historical studies…
The question in the title is actually what puzzles me a lot, and since I’m living on campus, I have heard how PhD students and young researchers are suffering. Some of these complaints, especially those about programmers, are of course jokes, but I also know…
Extension fields and automorphisms are the most amazing thing I have ever learned. Essentially, when you think of them together, they are like a flower whose petals communicate with each other, but the center remains fixed. I’m still reading the part on extension fields and…
When we look at modern mathematics, it seems that both concepts of sets and maps are equally important. But strangely, in computer science, maps (functions, subroutines, methods) are made extremely important and diverse in appearance, whereas the not-so-map-related sets (classes, directories) are relegated to some “bag of random things” kind of meaning,…