Arity is a concept that refers to the number of arguments or operands that a function or operation takes. It's commonly used in mathematics and programming to describe how many inputs a function requires to produce an output. For example: - A function with an arity of 0 takes no arguments (often referred to as a constant function). - A function with an arity of 1 takes one argument (e.g., a unary function).
Ciro Santilli's wife by Ciro Santilli 37 Updated 2025-07-16
Excerpt of For Whom the Bell Tolls by Ernest Hemingway (1940), slightly adapted for brevity:
"The earth moved," Maria said, not looking at Pilar. "Truly. It was a thing I cannot tell thee."
"It never moves more than three times in a lifetime. Did it really move?" Pilar Said.
"Yes," the girl said. "Truly."
"For you, Inglés?" Pilar looked at Robert Jordan. "Don't lie."
"Yes," he said. "Truly."
Related: www.reddit.com/r/OldSchoolCool/comments/hj7bfq/comment/fwkik5v/
Video 1.
Teresinha performed by Maria Bethânia
. Source.
Composed and previously performed by Chico Buarque in 1987: Video "Teresinha by Chico Buarque".
This video has English subtitles, click CC to enable them. This is one of the the best popular Brazilian music (MPB) of all time. A transcribed English translation adapted slightly by Ciro Santilli to be a bit less literal:
The first one came to me as if coming from the flower shop
Brought a stuffed toy, brought an amethyst pin
He told me about his journey and the perks he had
He showed me his watch and called me 'queen'
He found me so undefended that he touched my heart
But he denied me nothing, so, frightened, I said 'no'
The second came to me as if coming back from the bar
Brought a bottle of brandy too bitter to swallow
He asked me about my past and sniffed my food
He searched through my drawer and called me 'the lost one'
He found me so undefended that he scratched my heart
But he gave me nothing, so, frightened, I said 'no'
The third one arrived like he was arriving from nowhere
He brought me nothing and also asked me nothing
I barely know his name but I understand what he wants
He laid on my bed and called me 'woman'
He arrived very sneakily and before I could say 'no'
He settled inside my heart as its owner
Video 2.
Song of pig by Xiangxiang (2005)
Source. Chinese: 猪之歌 by 香香. Baidu Baike page: baike.baidu.com/item/猪之歌/16181836. A dude wrote the lyrics though: 毛慧 (Mao Hui), but wouldn't have been a hit if he had performed it given the insane gender imbalance in China. Chinese lyrics on mojim: mojim.com/cny104491x1x1.htm. A quick translation:
Pig, you have two holes in your nose, and they have snot when you catch a cold
Pig, you have dark eyes, you can't see the edge
Pig, your ears are so big, you can't hear me calling you stupid
Pig, your tail is curled and curled. It turns out that you can't live without it when you run and jump.
Pig head, pig brain, pig body, pig tail, a wise toy who is never picky about food
Every day sleep until after three in the afternoon, you never brush your teeth, and you never fight
Pig, your belly is so bulging, you can tell at a glance that you can't stand the hardships of life
Pig, your skin is so white, you must have been from a rich family in your past life, oh
Legend has it that your ancestor had eight rakes, and it hit a peach blossom criminal.
When you see a beautiful girl, you chuckle, won't blush, and isn't afraid
Some people in the West are quite amused by the usage of "pig" as a term of endearment.
Home 2017 TalkTalk 38Mbps nominal, Google M-lab speed test:
Glitch by Ciro Santilli 37 Updated 2025-07-16
A glitch is more precisely a software bug that is hard to reproduce. But it has also been used to mean a software bug that is not very serious.
Physics by Ciro Santilli 37 Updated 2025-07-16
Physics (like all well done science) is the art of predicting the future by modelling the world with mathematics.
And predicting the future is the first step towards controlling it, i.e.: engineering.
Ciro Santilli doesn't know physics. He writes about it partly to start playing with some scientific content for: OurBigBook.com, partly because this stuff is just amazingly beautiful.
Ciro's main intellectual physics fetishes are to learn quantum electrodynamics (understanding the point of Lie groups being a subpart of that) and condensed matter physics.
Every science is Physics in disguise, but the number of objects in the real world is so large that we can't solve the real equations in practice.
Luckily, due to emergence, we can use uglier higher level approximations of the world to solve many problems, with the complex limits of applicability of those approximations.
Therefore, such higher level approximations are highly specialized, and given different names such as:
As of 2019, all known physics can be described by two theories:
Unifying those two into the theory of everything one of the major goals of modern physics.
Figure 1.
xkcd 435: Fields arranged by purity
. Source. Reductionism comes to mind.
Figure 2.
Physically accurate genie by Psychomic
. Source. This sane square composition from: www.reddit.com/r/funny/comments/u08dw3/nice_guy_genie/.
The number 52 can refer to several things depending on the context: 1. **Mathematics**: 52 is an integer that comes after 51 and before 53. It is an even number and can be factored into prime numbers as \( 2 \times 26 \) or \( 4 \times 13 \). 2. **Counting and Measurement**: There are 52 weeks in a year, which is a standard way of measuring time in the Gregorian calendar.
Projective space by Ciro Santilli 37 Updated 2025-07-16
A unique projective space can be defined for any vector space.
The projective space associated with a given vector space is denoted .
The definition is to take the vector space, remove the zero element, and identify all elements that lie on the same line, i.e.
The most important initial example to study is the real projective plane.
It is quite comical that two separate towns were founded one next to the other right in the middle of nowhere. And that both have so slightly weird names.

Pinned article: Introduction to the OurBigBook Project

Welcome to the OurBigBook Project! Our goal is to create the perfect publishing platform for STEM subjects, and get university-level students to write the best free STEM tutorials ever.
Everyone is welcome to create an account and play with the site: ourbigbook.com/go/register. We belive that students themselves can write amazing tutorials, but teachers are welcome too. You can write about anything you want, it doesn't have to be STEM or even educational. Silly test content is very welcome and you won't be penalized in any way. Just keep it legal!
We have two killer features:
  1. topics: topics group articles by different users with the same title, e.g. here is the topic for the "Fundamental Theorem of Calculus" ourbigbook.com/go/topic/fundamental-theorem-of-calculus
    Articles of different users are sorted by upvote within each article page. This feature is a bit like:
    • a Wikipedia where each user can have their own version of each article
    • a Q&A website like Stack Overflow, where multiple people can give their views on a given topic, and the best ones are sorted by upvote. Except you don't need to wait for someone to ask first, and any topic goes, no matter how narrow or broad
    This feature makes it possible for readers to find better explanations of any topic created by other writers. And it allows writers to create an explanation in a place that readers might actually find it.
    Figure 1.
    Screenshot of the "Derivative" topic page
    . View it live at: ourbigbook.com/go/topic/derivative
  2. local editing: you can store all your personal knowledge base content locally in a plaintext markup format that can be edited locally and published either:
    This way you can be sure that even if OurBigBook.com were to go down one day (which we have no plans to do as it is quite cheap to host!), your content will still be perfectly readable as a static site.
    Figure 5. . You can also edit articles on the Web editor without installing anything locally.
    Video 3.
    Edit locally and publish demo
    . Source. This shows editing OurBigBook Markup and publishing it using the Visual Studio Code extension.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
All our software is open source and hosted at: github.com/ourbigbook/ourbigbook
Further documentation can be found at: docs.ourbigbook.com
Feel free to reach our to us for any help or suggestions: docs.ourbigbook.com/#contact