The International Congress of Mathematicians (ICM) is a prestigious event held every four years, where mathematicians from around the world gather to discuss recent advances in various fields of mathematics. The congress includes plenary sessions and invited talks, where leading mathematicians give presentations on their work.
A **fixed-point combinator** is a higher-order function that computes the fixed point of other functions. In simpler terms, it allows you to find a point that satisfies the condition \( f(x) = x \) for a given function \( f \). This concept is particularly important in functional programming, recursion, and lambda calculus, where named functions may not always be available due to the nature of the constructs used.
There are numerous language self-study programs available that cater to various learning styles and preferences. Here’s a list of some notable options: ### **Apps and Online Platforms** 1. **Duolingo** - A popular app that gamifies language learning with bite-sized lessons. 2. **Babbel** - Focuses on conversational skills and includes various structured courses. 3. **Rosetta Stone** - Uses immersion techniques to teach languages through context.
The list of the largest machines in the world includes various categories, from construction equipment to industrial machines, mining apparatus, and scientific instruments. Here are some notable examples: ### 1. **Bagger 288** - **Type**: Bucket-wheel excavator - **Location**: Germany - **Dimensions**: Approximately 220 meters long and 96 meters high - **Purpose**: Used for coal mining, capable of moving 240,000 tons of soil per day.
The List of Nuclear Power Accidents by Country includes notable incidents of nuclear accidents and radiological events that occurred at nuclear power plants or facilities. Here is a summary of key events categorized by country: ### 1. **United States** - **Three Mile Island (1979)**: A partial meltdown at the Three Mile Island plant in Pennsylvania, resulting in a release of radioactive gases but no significant health effects.
Here’s a list of notable oceanographic institutions and programs globally, which are involved in ocean research, education, and conservation: ### Major Oceanographic Institutions 1. **Scripps Institution of Oceanography** (UC San Diego, USA) 2. **Woods Hole Oceanographic Institution** (WHOI, USA) 3. **Lamont-Doherty Earth Observatory** (Columbia University, USA) 4.
A list of radioactive nuclides by half-life typically categorizes isotopes based on their decay rates. Each isotope's half-life is the time it takes for half of a sample of that isotope to decay.
A "list of spammers" typically refers to a compilation of individuals, organizations, or entities known for sending unsolicited bulk messages, commonly known as spam. These lists can be created by various organizations, websites, or tools that track spam activity to help users avoid or report spam. Here are some key points regarding lists of spammers: 1. **Purpose**: Such lists aim to inform people about known spammers, thus helping them avoid potential scams or unsolicited communications.
The list of submarine topographical features includes various geological formations and structures found on the ocean floor. Here are some of the prominent categories and examples of these features: ### 1. **Mid-Ocean Ridges** - **Mid-Atlantic Ridge**: A continuous mountain range that runs down the center of the Atlantic Ocean. - **East Pacific Rise**: A major mid-ocean ridge located in the Eastern Pacific Ocean. ### 2.
Trigonometric identities are equations involving trigonometric functions that are true for all values of the variables involved, provided the functions are defined. Here’s a list of some of the most important trigonometric identities: ### Fundamental Identities 1.
The field of statistics is rich with a variety of open problems and unresolved questions that continue to inspire research. While there is no official "list" that encompasses all unsolved problems in statistics, there are several prominent areas where significant challenges remain.
Impredicativity is a concept in logic and mathematics that refers to a situation where a definition or a construct is self-referential or circular in nature. It occurs when a set or a mathematical object is defined in terms of a collection that includes the object itself. This can lead to paradoxes or inconsistencies in certain contexts. For example, consider a set defined as the set of all sets that do not contain themselves.
A list of Y-DNA single-nucleotide polymorphisms (SNPs) refers to a compilation of specific genetic variations found on the Y chromosome, which is passed from father to son. These SNPs are critical for understanding paternal lineage in genetics, as they can provide insight into ancestry and population genetics. In the context of Y-DNA testing, SNPs are utilized to identify different haplogroups, which are groups of similar Y-chromosome sequences that share a common ancestor.
A list of astronomical events compiles significant occurrences in the field of astronomy, such as planetary alignments, meteor showers, eclipses, conjunctions, transits, and other phenomena observable from Earth. Here's a brief overview of some common types of astronomical events: ### 1. **Eclipses** - **Solar Eclipses**: Occur when the Moon passes between the Earth and the Sun, blocking the Sun's light.
Lists of units of measurement are systematic collections of units used to quantify physical quantities across various fields such as science, engineering, commerce, and everyday life. These units often fall into categories based on the type of measurement they represent. Below are some commonly recognized categories and examples of units within each: ### 1.
UN numbers, or United Nations numbers, are four-digit numeric codes assigned by the United Nations to identify hazardous substances and articles, primarily for the purpose of international transport. These numbers are part of the UN's transportation regulations and are used by various organizations, including the International Air Transport Association (IATA) and the International Maritime Organization (IMO), to facilitate the safe transportation of dangerous goods. The list of UN numbers includes a wide variety of substances, including: - Flammable liquids (e.g.
Lite is an instrumental rock band from Japan, formed in 2003. The band is known for its intricate compositions and a unique blend of math rock, post-rock, and progressive rock influences. Lite consists of four members and has earned a reputation for their energetic live performances and complex musical structures, often featuring intricate guitar work, tight rhythms, and dynamic shifts in tempo.
A locally compact quantum group is a mathematical structure that generalizes the concept of a locally compact group to the setting of noncommutative geometry, particularly using tools from operator algebras and quantum theory. It is a framework used in the field of Mathematics and theoretical physics to study symmetries and their representations in a noncommutative way.

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