A soft set is a mathematical concept introduced by D. Molodtsov in 1999, which is used to model uncertainty and vagueness in various fields, including decision-making, artificial intelligence, and information science. It generalizes the traditional set theory by incorporating a parameterized framework for representing uncertain data.
The term "theory of pure equality" is not widely recognized in academic discourse, and its meaning can vary depending on context. However, it generally pertains to philosophical, political, or economic discussions about the concept of equality among individuals or groups. Here are a few interpretations of what a "theory of pure equality" might refer to: 1. **Philosophical Equality**: This could relate to the philosophical notion that all individuals have the same inherent value and rights.
Albert Muchnik does not appear to be a widely recognized figure based on available information up to October 2023. It's possible that he could be a private individual or a lesser-known person in a specific field.
Grigori Mints is a mathematician known for his work in logic, mathematical foundations, and computer science. He has made significant contributions in areas such as proof theory, computational complexity, and the foundations of mathematics. He is particularly recognized for his development of various logical systems and his work on formal proofs. Mints has authored several publications in these fields and has been involved in research that explores the connections between logic and computer science.
Herbert Enderton (1935–2019) was a prominent mathematician known for his work in mathematical logic, particularly in set theory and model theory. He is perhaps best known for his textbook "A Mathematical Introduction to Logic," which is widely used in undergraduate courses on logic and has been influential in the field. Enderton's contributions to mathematical logic include topics such as computability theory, the foundations of mathematics, and formal systems.
Ilijas Farah is not widely recognized or documented in public sources as of my last update, and it could refer to a lesser-known individual, a fictional character, or a local figure in a specific community.
Marian Pour-El is a mathematician known for her contributions to logic, particularly in areas related to computability and the foundations of mathematics. She has worked on recursive functions and the relationship between mathematical logic and computer science. Her work often explores the implications of these areas for the understanding of computability and algorithmic processes.
Daniel Siewiorek is a prominent figure in the fields of computer science and engineering, particularly known for his contributions to human-computer interaction, assistive technologies, and wearable computing. He is a professor at Carnegie Mellon University and has been involved in various research projects that focus on the interaction between humans and machines, including robotics and the design of user-friendly systems.
Juliette Kennedy is a mathematician known for her work in the fields of mathematical logic and set theory, particularly in areas related to large cardinals and determinacy. She has contributed to the understanding of descriptive set theory and has collaborated on various research projects within mathematical logic.
Moshe Vardi is a prominent computer scientist and professor known for his contributions to fields such as computational logic, formal methods, and database theory. He is a faculty member at Rice University and has served as the director of the university's Ken Kennedy Institute for Information Technology. Vardi's research often focuses on the intersection of computer science and other disciplines, including his work on logic, databases, and artificial intelligence.
The list of causes of death by rate typically refers to rankings or statistics that show the prevalence of different causes of death in a specific population, often based on data from health organizations like the World Health Organization (WHO) or the Centers for Disease Control and Prevention (CDC). These lists can vary by country, region, or demographic group and are usually presented as rates per 100,000 individuals.
The British Isles is home to a variety of coastal weather stations that provide valuable meteorological data for both research and public use. These stations are often maintained by national meteorological services, universities, and other organizations.
As of my last update in October 2023, here is a general overview of life expectancy in various countries in the Americas. Note that specific numbers can vary by source and may have changed since my last update. For the most accurate and up-to-date information, it’s recommended to consult resources such as the World Health Organization (WHO), World Bank, or United Nations databases.
The "rare disease assumption" typically refers to certain underlying principles or guidelines that govern the research, diagnosis, treatment, and policy-making surrounding rare diseases. In a general context, a rare disease is often defined as one that affects a small percentage of the population, with specific thresholds varying by country.
The list of Greek mathematicians includes many influential figures from ancient Greece who made significant contributions to mathematics, geometry, astronomy, and related fields. Here are some notable Greek mathematicians: 1. **Thales of Miletus (c. 624–546 BC)** - Considered one of the first mathematicians, he is known for his work in geometry and is often credited with the first mathematical proofs. 2. **Pythagoras (c.
The Jupiter trojans are a group of asteroids that share an orbit with the planet Jupiter, residing in the two stable Lagrange points 60 degrees ahead of and behind Jupiter in its orbit. These two groups are known as the "Greek camp" (leading group) and the "Trojan camp" (trailing group). The Jupiter trojans are named after characters from the Trojan War.
Here’s a list of notable mathematics education journals you might find useful: 1. **Journal for Research in Mathematics Education (JRME)** - A leading journal focused on the research in mathematics education. 2. **Mathematics Education Research Journal (MERJ)** - Publishes original research on mathematics education. 3. **Educational Studies in Mathematics** - Covers research and scholarly discussions in the field of mathematics education.
The list of minor planets numbered 1 through 1000 consists of various small celestial bodies that orbit the Sun, primarily in the asteroid belt between Mars and Jupiter. These celestial bodies are cataloged by their official designations, which are usually assigned as they are discovered. Here are some notable minor planets from the range of 1 to 1000: 1. **1 Ceres** - The first and largest asteroid discovered, now classified as a dwarf planet.
The minor planets numbered 131001 to 132000 are part of a catalog of asteroids and other small celestial bodies in our solar system. Each minor planet is assigned a unique number for identification. These minor planets include a variety of objects with different characteristics, such as composition, size, and orbit.
The list of minor planets between 142001 and 143000 includes various small celestial bodies that are part of our solar system. Each minor planet is typically designated by a unique number and often has a name. These minor planets can include asteroids from the asteroid belt, objects from the Kuiper belt, and other distant bodies.

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