Generalization of Henderson’s uniqueness theorem

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”…

Divisors of zero

A ring is a very creepy being in algebra. In some strange rings we have ab=0 without either a=0 or b=0. This can make equations like x^2-5x+6=0 have more than 2 roots 🙂  

A little piece of eternity…

“Euclid, what the hell are you doing?!” As a 14-year-old student struggling with my geometry problem sets in secondary school, I was staring at the heavy white brick in front of me, scattered with crazy shapes in ink that only became crazier as I scanned through…

Molecular Design: hydrogen positioning in water cluster

In my summer internship I need to design water clusters: structure made solely of water molecules. I am using FORTRAN and Gaussian to create hopefully highly or lowly symmetrical structures. My program is almost successful! The (fast) last step is to place the hydrogens that…

My first German writting assignment~!

Hi my dear friends! Now I am enrolled in a German B.1 course at Goethe Institut Singapur. My teacher Denny is a very kind and lovely guy~ I also have a lot of new friends to learn German together. 🙂 Here is my first writting…

Die Zahlen: a journey backward

Die Zahlen: a journey backward A few years ago I had a discussion with my classmates on how integers could be defined. Simple as the question seemed to be, we found it hard to give a satisfactory answer. The best definition we came up with…

On the origin of the ‘pure science’ nostalgia

 In an English module that I take this semester we are required to write an essay on any controversial topic in science. The topic I proposed was ‘Is mathematics discovery or invention?’. Such an idle and philosophical question seems immediately radical in a world where…