Gülen movement Updated 2025-07-16
Ciro Santilli once was at student a hackthon, where he proposed working on OurBigBook.com to others.
The only person who showed interest was a follower of the sect.
It seems that they put a lot of emphasis in education.
Also, their self-name is Hizmet, which translates as "service".
That day, Mr. Fethullah Gülen gained some Cirocoins.
Finite general linear group Updated 2025-07-16
general linear group over a finite field of order . Remember that due to the classification of finite fields, there is one single field for each prime power .
Exactly as over the real numbers, you just put the finite field elements into a matrix, and then take the invertible ones.
Flash memory Updated 2025-07-16
Video 1.
The Engineering Puzzle of Storing Trillions of Bits in your Smartphone / SSD using Quantum Mechanics by Branch Education (2020)
Source. Nice animations show how quantum tunnelling is used to set bits in flash memory.
Four Treasures of the Study Updated 2025-07-16
Video 1.
Four Treasures of Chinese Study by a journey of culture (2022)
Source. Over the top and likely without copyright.
Video 2.
Four Treasures of the Study by Li's Ink World (2021)
Source. A more realistic down to Earth one.
Group homomorphism Updated 2025-07-16
Like isomorphism, but does not have to be one-to-one: multiple different inputs can have the same output.
The image is as for any function smaller or equal in size as the domain of course.
This brings us to the key intuition about group homomorphisms: they are a way to split out a larger group into smaller groups that retains a subset of the original structure.
As shown by the fundamental theorem on homomorphisms, each group homomorphism is fully characterized by a normal subgroup of the domain.
Group extension problem Updated 2025-07-16
Besides the understandable Wikipedia definition, Video "Simple Groups - Abstract Algebra by Socratica (2018)" gives an understandable one:
Given a finite group and a simple group , find all groups such that is a normal subgroup of and .
In particular, this is hard because you can't just take the direct product of groups to retrieve the original group: Section "Relationship between the quotient group and direct products".
Grinding for software interviews Updated 2025-07-16
If your kids are about to starve, fine, do it.
But otherwise, Ciro Santilli will not, ever, spend his time drilling programmer competition problems to join a company, life is too short for that.
Life is too short for that. Companies must either notice that you can make amazing open source software projects or contributions, and hire you for that, or they must fuck off.
Companies must either notice that you can make amazing projects or contributions, and hire you for that, or they must fuck off.
Order of a differential equation Updated 2025-07-16
Order of the highest derivative that appears.
M,n,k game Updated 2025-07-16
grep Updated 2025-07-16
If you are a programmer, grep becomes a verb: "to grep" means "to search text files", much like "to Google" means "to search random stuff online".
Green fluorescent protein Updated 2025-07-16
The 3D structure of GFP is so cool. It is so clearly a bottle with a fluorescent bit well isolated right in the middle. Like a little lamp.
Graphene Updated 2025-07-16
A single layer of graphite.
Gradient Updated 2025-07-16
Takes a scalar field as input and produces a vector field.
Mnemonic: the gradient shows the direction in which the function increases fastest.
Think of a color gradient going from white to black from left to right.
Therefore, it has to:
  • take a scalar field as input. Otherwise, how do you decide which vector is larger than the other?
  • output a vector field that contains the direction in which the scalar increases fastest locally at each point. This has to give out vectors, since we are talking about directions
Chain rule Updated 2025-07-16
Here's an example of the chain rule. Suppose we want to calculate:
So we have:
and so:
Therefore the final result is:
Zongzi Updated 2025-07-16
Eaten during Dragon Boat Festival, but can be bought year round.
Buy frozen. Pick the ones with meat and eggs!!! Boil.
Cost about 4 dollars for 2.
You can't eat them every day because too heavy, but they are so amazingly tasty!!!

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