Skew-symmetric form Updated 2025-07-16
Human spinal cord Updated 2025-07-16
Supercomputer by owner Updated 2025-07-16
Particle in a box Updated 2025-07-16
Superfluid helium-4 Updated 2025-07-16
Also sometimes called helium II, in contrast to helium I, which is the non-superfluid liquid helium phase.
Hadamard gate Updated 2025-07-16
The Hadamard gate takes or (quantum states with probability 1.0 of measuring either 0 or 1), and produces states that have equal probability of 0 or 1.
Spin half Updated 2025-07-16
Leads to the Dirac equation.
Rydberg atom Updated 2025-07-16
Spin 1 Updated 2025-07-16
Leads to the Proca equation.
Verilator interactive example Updated 2025-07-16
The example under verilog/interactive showcases how to create a simple interactive visual Verilog example using Verilator and SDL.
You could e.g. expand such an example to create a simple (or complex) video game for example if you were insane enough. But please don't waste your time doing that, Ciro Santilli begs you.
The example is also described at: stackoverflow.com/questions/38108243/is-it-possible-to-do-interactive-user-input-and-output-simulation-in-vhdl-or-ver/38174654#38174654
Usage: install dependencies:then run as either:Tested on Verilator 4.038, Ubuntu 22.04.
sudo apt install libsdl2-dev verilatormake run RUN=and2
make run RUN=moveFile overview:
Veritasium Updated 2025-07-16
Does have some gems worth looking at. But generally always too superficial as can be expected from any self-sufficient YouTubber.
My Life Story by Veritasium (2018)
Source. Basically a don't be a pussy story where he describes how he has always been passionate by both science and film making. Veritasium is a nice guy. Genome Project-Write Updated 2025-07-16
Hash function Updated 2025-07-16
Applications:
- hash map which is a O(1) amortized implementation of a map
- creating unbreakable chains of data, e.g. for Git commits or Bitcoin.
- storing passwords on a server in a way that if the password database is stolen, attackers can't reuse them on other websites where the user used the same password: security.blogoverflow.com/2013/09/about-secure-password-hashing/
How to teach Projects must aim for novelty Updated 2025-07-16
The projects you do must always aim to achieving some novel result.
You don't have to necessarily reach it. But you must aim for it.
Novel result can be taken broadly.
But there must be something to your project that has never been done before.
You can start by reproducing other's work.
Switzerland Updated 2025-07-16
Quartz clock Updated 2025-07-16
Subtitle editor Updated 2025-07-16
Vertebrate Updated 2025-07-16
Victor Francis Hess Updated 2025-07-16
Heat equation Updated 2025-07-16
Besides being useful in engineering, it was very important historically from a "development of mathematics point of view", e.g. it was the initial motivation for the Fourier series.
Some interesting properties:
- TODO confirm: for a fixed boundary condition that does not depend on time, the solutions always approaches one specific equilibrium function.This is in contrast notably with the wave equation, which can oscillate forever.
- TODO: for a given point, can the temperature go down and then up, or is it always monotonic with time?
- information propagates instantly to infinitely far. Again in contrast to the wave equation, where information propagates at wave speed.
Sample numerical solutions:
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