Ulysses’ trip

This article is adapted from my submission to a writing class assignment at school.

I was writing an essay to analyze a text-based game for a class assignment.

Introduction Nix as a software package manager is amazing in its reproducibility, the cost of which, however, is the problem of mass rebuilds.

Introduction Suppose that we have nn sandpiles denoted as a set VV.

Discrete path integral As we all know, the Schrödinger equation is ddt∣ψ ⁣(t)⟩=−iH ⁣(t)∣ψ ⁣(t)⟩,\fr\d{\d t}\ket{\fc\psi t}=-\i\fc Ht\ket{\fc\psi t}, where ∣ψ⟩\ket\psi is the state vector and HH is the Hamiltonian operator (may be time-dependent).

Nix, a purely functional language best known for describing reproducible systems, seems to have just enough power to model imperative behavior.

In image processing, a Gaussian blur filter is the transformation of an image that blurs it by a Gaussian function.

Python preamble Packages to install from PyPI: numpy, scipy, matplotlib, soundfile. import numpy as np from scipy.signal import ShortTimeFFT, find_peaks from scipy.signal.windows import hann from scipy.optimize import fsolve from scipy.stats import linreg…

The problem and the solution Suppose there is an annulus defined by the region {(ρ,φ)  |  Rin<ρ<Rout}\set{\p{\rho,\vphi}}{R_\mrm{in}<\rho<R_\mrm{out}}.

Classical vs. quantum statistical mechanics Previously, I have written two blog articles (part 1 about thermal ensembles and part 2 about non-thermal ensembles) about a formalism of statistical ensembles.

Do not take this artical as legal advice because I am not a lawyer.

I was creating my first GitHub Action (it is now working, which you can check out here).

This article (except the introduction and the afterwords) is my answer to one of the homework problems that I did when I took a quantum field theory course.

Introduction There are two major conventions for the metric signature: (+,−,−,−)\p{+,-,-,-} (west coast) and (−,+,+,+)\p{-,+,+,+} (east coast).

Introduction Exercise 12.5 from Modern Condensed Matter Physics (Girvin and Yang, 2019) asks to construct a Gaussian wave packet in the lowest Landau level in the Landau gauge, such that it is localized as closely as possible around some point R≔(Rx,Ry)\m…

Introduction The unit system The unit system used in this article is Hartree atomic units: me=kB=ℏ=4πε0=e=1m_\mrm e=k_\mrm B=\hbar=4\pi\veps_0=e=1, where mem_\mrm e is the electron mass.

While I have been trying to respond whenever people reach out to me, it is impossible to be available 24/7 due to the simple fact that a human has to sleep to be alive.

Save this certificate to some file, say /YOUR/PATH/TO/ca.pem: -----BEGIN CERTIFICATE----- MIIEMjCCAxqgAwIBAgIBATANBgkqhkiG9w0BAQUFADB7MQswCQYDVQQGEwJHQjEb MBkGA1UECAwSR3JlYXRlciBNYW5jaGVzdGVyMRAwDgYDVQQHDAdTYWxmb3JkMRow GAYDVQQKDBFDb21vZG8gQ0EgTGltaXRlZDE…

I always feel amazed about how 2D physics can often be fascinating due to theorems in complex analysis.

As we all know you can embed a Twitter timeline in your website like this: A Twitter timeline Tweets by UlyssesZhan You can also embed a Twitter post like this: A Twitter post Twitter post from UlyssesZhan However, there is no official way of embedding a…