Zermelo-Fraenkel set theory Updated 2025-10-14
One of the first formal proof systems. This is actually understandable!
This is Ciro Santilli-2020 definition of the foundation of mathematics (and the only one he had any patience to study at all).
TODO what are its limitations? Why were other systems created?
Media rationale of Ciro Santilli's website Updated 2025-07-16
Verilator Updated 2025-07-16
One very good thing about this is that it makes it easy to create test cases directly in C++. You just supply inputs and clock the simulation directly in a C++ loop, then read outputs and assert them with
assert(). And you can inspect variables by printing them or with GDB. This is infinitely more convenient than doing these IO-type tasks in Verilog itself.Some simulation examples under verilog.
First install Verilator. On Ubuntu:Tested on Verilator 4.038, Ubuntu 22.04.
sudo apt install verilatorRun all examples, which have assertions in them:
cd verilator
make runFile structure is for example:
- verilog/counter.v: Verilog file
- verilog/counter.cpp: C++ loop which clocks the design and runs tests with assertions on the outputs
- verilog/counter.params: gcc compilation flags for this example
- verilog/counter_tb.v: Verilog version of the C++ test. Not used by Verilator. Verilator can't actually run out
_tbfiles, because they do in Verilog IO things that we do better from C++ in Verilator, so Verilator didn't bother implementing them. This is a good thing.
Example list:
- verilog/negator.v, verilog/negator.cpp: the simplest non-identity combinatorial circuit!
- verilog/counter.v, verilog/counter.cpp: sequential hello world. Synchronous active high reset with active high enable signal. Adapted from: www.asic-world.com/verilog/first1.html
- verilog/subleq.v, verilog/subleq.cpp: subleq one instruction set computer with separated instruction and data RAMs
Yeast artificial chromosome Updated 2025-07-16
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
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