Coin problem by Wikipedia Bot 0
The "coin problem" often refers to various mathematical problems and puzzles involving coins, which can take different forms depending on the context. Here are a few versions of what might be considered a "coin problem": 1. **Coin Change Problem**: This is a classic problem in combinatorial mathematics and computer science. Given a set of coin denominations and a total amount of money, the goal is to determine the number of ways to make the total amount using the coins.
The Beck–Fiala theorem is a result in the field of combinatorial geometry, specifically concerning the covering of points by convex sets.
The discrepancy of hypergraphs is a concept in combinatorial mathematics that deals with how evenly one can color or distribute a set of points (or elements) among different subsets (or hyperedges) of a hypergraph. More formally, it is concerned with the maximum imbalance that can arise when assigning colors, typically two colors, to the vertices of the hypergraph with respect to the hyperedges.
A **Diophantine quintuple** is a set of five positive integers \( (a, b, c, d, e) \) such that the sum of any two distinct elements in the set is a perfect square.
"Discoveries" by Eugene A. Magnier is an exhibition and publication that showcases the stunning images captured by the Pan-STARRS (Panoramic Survey Telescope and Rapid Response System) project. Eugene A. Magnier, an astronomer and researcher, played a key role in this project, which is aimed at surveying the night sky and identifying astronomical objects.
Ciro Santilli's hardware / WD Elements 20TB by Ciro Santilli 37 Updated +Created
Bought December 2023 for 300 pounds, so 15 pounds / TB. Needs power supply unfrotunately besides USB, the largest one without needing power supply was only 5 TB at the time so not worth it, given that my P14s alreay carriers 2 TB. 10x is a must for the external crap.
Noise: it has a constant pleasant hum, with a not so nice click every 5 seconds or so. Reasonable, but not amazingly incredible.
The size is reasonable, not megaportable, but definitely reasonable.
Diophantus II.VIII refers to a specific problem in the ancient Greek mathematician Diophantus's work, "Arithmetica." This text is one of the earliest known to study algebraic equations and includes numerous problems that focus on finding integer solutions to polynomial equations. In this specific section, Diophantus presents a problem involving the search for rational (or integer) solutions to a particular equation.
Diophantus of Alexandria was a Greek mathematician who lived around the 3rd century AD. He is best known for his work in number theory, particularly for his contributions to what are now known as Diophantine equations. His most famous work is the "Arithmetica," where he introduced methods for solving equations that require integer solutions. **Diophantine Equations** are polynomial equations that seek integer solutions.
Ciro Santilli's ideal city to live in by Ciro Santilli 37 Updated +Created
Ciro's ideal city to live in contains the following in order of decreasing importance:
Could California be Ciro's Mecca?
In number theory, "effective results" refer to theorems or results that not only provide qualitative information (e.g., existence, properties, etc.) about mathematical objects but also yield explicit methods, algorithms, or bounds that allow for the computation of specific examples or the verification of claims. Essentially, an effective result provides a concrete way to achieve or demonstrate what a more abstract result asserts.
Ciro Santilli's love advice by Ciro Santilli 37 Updated +Created
In the field of Love and Friendship, Ciro is a big believer in the merciless application of tit for tat. Never desire someone's love if you give and what comes back is not proportional. Cut your attempts to reach out immediately in such cases.
Never tell a woman you like her before she is in your bed.
If someone likes you and you don't like them as much, make that clear to them. Don't put this off, be it for compassion, curiosity, loneliness, or narcissism.
youtu.be/Sb0VHGnhX4M?t=174 from Video "Charles Bukowski Scandanavian TV interviews":
The way to get a woman is not to have money, not to look nice, not to have a nice personality. The way to get a woman, is to always be available, night or day. Any time you phone, you're there, or you're at the bar. They know that you are available at all times. It is very, very important to a woman.
Ciro Santilli's mother-in-law by Ciro Santilli 37 Updated +Created
Figure 1.
Ciro Santilli with his soon-to-be mother-in-law during his wedding in 2017
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Ciro Santilli's musical education by Ciro Santilli 37 Updated +Created
Ciro's parents put him to play the piano. This is partly influenced by Ciro's paternal grandfather, an energetic Italian descendant who liked music
https://raw.githubusercontent.com/cirosantilli/media/master/Six_year_old_Ciro_Santilli_when_his_grandfather_offered_him_an_electronic_keyboard.jpg
The piano was fine, but a bit boring due to how it was taught.
The teachers were nice old ladies who followed a very traditional and methodic approach which was just like regular school, instead of doing what actually needed to be done: inspire kids into becoming creative musical geniuses that can compose their own stuff.
While in Santos, before going to university, Ciro somehow got into acoustic and electric guitar.
The electric guitar environment was much less formalized in general, and he took courses with an awesome teacher (archive), who actually tried to inspire his students to create their own music and improvisation.
And so a young teenage Ciro once seriously considered becoming a professional guitar player.
In his early teens, Ciro listened to the usual canned music his friends listened to: music teenager Ciro Santilli liked to listen to, until he started to stumble upon jazz.
Ciro remembers clearly rainy weekend days where he would go to a run down second hand shop near his home in someone's garage (Sebo do Alfaiate, R. Frei Francisco de Sampaio, 183 - Embaré, Santos - SP, 11040-220, Brazil :-)), and buy amazing second hand Jazz CDs. It was just a matter of time until he would start scouring the web for "the best jazz albums of all time" and start listening to all of them, see e.g. the best modern instrumental Western music. digitaldreamdoor.com/index.html was a good resource from those times!
Ciro ultimately decided his bad memory and overwhelming passion for the natural sciences would better suit a scientific carrier.
He also learnt that the computer is also an extremely satisfying artistic instrument.
Also, with a computer, boring dexterity limitations are no more: you can just record perfect played segments or program things note by note to achieve whatever music or action you want!
Although Ciro quit playing musical instruments, his passion for the music has remained, and who knows how it has influenced his life.
The Erdős–Moser equation is a specific type of functional equation that arises in the context of additive combinatorics and related fields in mathematics. The equation is named after Paul Erdős and Leo Moser, who studied its properties.
Ciro Santilli's hardware / Nike Run Swift 2.0 by Ciro Santilli 37 Updated +Created
Bought 2021-11, grey, size EUR 44.5, 80$ (later found cheaper online): www.sportsdirect.com/nike-run-swift-2-running-shoes-mens-121052
The Erdős–Straus conjecture is a problem in number theory that was proposed by the mathematicians Paul Erdős and George Strauss in 1948. The conjecture asserts that for every integer \( n \geq 2 \), the equation \[ \frac{4}{n} = \frac{1}{x} + \frac{1}{y} + \frac{1}{z} \] has solutions in positive integers \( x, y, z \).
Euler brick by Wikipedia Bot 0
An Euler brick is a special type of rectangular cuboid (or box) with integer side lengths \(a\), \(b\), and \(c\) such that the lengths of the three face diagonals are also integers. Specifically, the conditions for an Euler brick are that: 1. The dimensions are positive integers: \(a\), \(b\), and \(c\). 2. The lengths of the face diagonals are also integers.
Ciro Santilli's natural languages skills by Ciro Santilli 37 Updated +Created
When asked, Ciro likes to say that he speaks something between 1.5 and 3.5 languages in total, depending on how you count, because Portuguese, French and English are 99.99% the same, and Chinese is completely different but Ciro only knows about 50% of it if counted optimistically.

Pinned article: ourbigbook/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