Weber's theorem in the context of algebraic curves pertains to the genus of a plane algebraic curve. Specifically, the theorem provides a way to compute the genus of a smooth projective algebraic curve defined by a polynomial equation in two variables.
Daniel Quillen was an American mathematician known for his significant contributions to algebraic K-theory, homotopy theory, and the study of higher categories. He was born on January 27, 1933, and passed away on April 30, 2011. Quillen's work in K-theory, which concerns the study of vector bundles and their relationships to algebraic topology, has had a profound impact on both pure mathematics and theoretical physics.
The term "line complex" can refer to different concepts depending on the context in which it is used. Here are a few interpretations: 1. **Mathematics/Geometry**: In mathematical contexts, especially in geometry, a line complex may refer to a set of lines that share certain properties or configurations. It could involve a study of relationships between these lines, such as concurrency, parallelism, or specific intersections.
A water supply network is a system of interconnected pipes, storage facilities, treatment plants, pumps, and other infrastructure designed to deliver potable (drinking) water from a source to consumers, typically households, businesses, and other end-users in a community or city. The primary functions and components of a water supply network include: 1. **Water Source**: This can include surface water sources (like rivers, lakes, reservoirs) and groundwater sources (like wells and aquifers).
Gerhard Hochschild was a prominent mathematician known for his contributions to algebra, particularly in the fields of group theory and representation theory. He is best known for his work on Hochschild cohomology, a concept in algebra that has applications in various areas of mathematics including algebraic geometry and algebraic topology. Hochschild's work has had a lasting impact on modern algebra, and he is recognized for his contributions to the development of mathematical concepts that connect different areas of the field.
György Hajós could refer to a prominent Hungarian figure, known primarily for his contributions in a specific field. However, without context, it’s challenging to pinpoint exactly which György Hajós you are referring to, as there may be multiple notable individuals with that name. One well-known György Hajós (born in 1944) is a Hungarian architect and academic, recognized for his work in architecture and urban planning.
Élan Béarnais is a French professional basketball club based in Pau, located in the Pyrénées-Atlantiques region. The team is well-known in France's basketball circles and competes in the Jeep Elite, the top-tier league in France. In terms of international competitions, Élan Béarnais has participated in various European tournaments over the years, including the FIBA Saporta Cup, the EuroCup, and the Basketball Champions League.
Michael D. Fried is a prominent figure in the field of mathematics, particularly known for his contributions to number theory and algebra. He has made significant advancements in areas such as arithmetic geometry, representation theory, and algebraic groups. Fried has also written extensively on these subjects and has been involved in various academic and educational activities, including teaching and mentoring students in mathematics. If you were referring to a different context or a specific work related to Michael D. Fried, please provide more details!
In the case of indel mutations (see limits of gel electrophoresis for minimal size difference issues), it is possible to determine the allele with gel electrophoresis. You can just read out the alleles right in the gel. It is a thing of beauty.
As of 2020, this method appears to be much cheaper than DNA sequencing approaches.
Video 1.
Gel Electrophoresis to Determine Genotype
. Source.
Paris by Ciro Santilli 40 Updated 2025-12-13
Ciro Santilli lived in Paris for a few years between 2013 and 2016, and he can confirm the uncontroversial fact that "Paris is Magic".
Not just one type of magic though. Every quarter in Paris has its own unique personality that sets it apart and gives it a different mood.
Ciro knows Paris not from its historical facts, but from the raw feeling of endless walks through its streets in different times of the year. Ciro is a walker.
Maybe one day Ciro will expand this section to try and convey into words his feelings of love for the city, but maybe the effort would be pointless. Maybe such feelings can only be felt by other free-roaming walker souls living in the city, and that is both beautiful and a shame.
Ciro had written the following in the past before he lived in smaller cities, started cycling and joined the Street reclamation movement he thought:
Paris is a friendly city to walkers, as it is not too large, and does not have too many extremely busy roads, you can basically cross all of it on foot.
Perhaps compared to São Paulo City, which is what he knew before that was true. But no, his standards have improved since. Paris has way too many cars. The noise of internal combustion engine vehicles is extremely annoying. And because there are too many personal vehicles, cars have to horn a lot to fight for space. Fuck cars. Paris has been making a big cycling push in the early 2020's, and that is great. But it is still far, far from good.
Vim by Ciro Santilli 40 Updated 2025-07-16
Before we get a decent open source integrated development environment, what else can you do?
But also perfect for small one-off files when you don't have the patience to setup said IDE.
vim's defaults are atrocious for the 21st century! Vundle is reasonable as an ad-hoc package manager, but it can't set fixed versions of packages:
Guangdong Loongon is a logistics and supply chain company based in Guangdong Province, China. It specializes in providing integrated logistics solutions, including warehousing, transportation, and distribution services. Companies like Loongon typically serve a wide range of sectors, catering to domestic and international clients by enhancing supply chain efficiency through modern technology and services. The logistics industry in Guangdong is particularly significant due to the province's status as a manufacturing hub and its strategic location near major shipping routes.
Kosmos is a publishing company known for its focus on a variety of genres including educational materials, literature, and children's books. Founded in the early 1990s, Kosmos has established a reputation for high-quality publications, particularly in the field of educational books that often emphasize interactive and engaging learning experiences. The company also publishes board games and role-playing games, contributing to the world of hobby gaming.

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 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    Figure 3.
    Visual Studio Code extension installation
    .
    Figure 4.
    Visual Studio Code extension tree navigation
    .
    Figure 5.
    Web editor
    . 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.
    Video 4.
    OurBigBook Visual Studio Code extension editing and navigation demo
    . Source.
  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