Alexander S. Kechris is a prominent mathematician known for his contributions to set theory and its connections to other areas of mathematics, particularly in model theory and descriptive set theory. He has published numerous research papers and has co-authored influential texts, including works on the structure of the real line and on the foundations of set theory. Kechris is known for his rigorous approach to mathematics and has made significant contributions to the understanding of topological groups and their classifications.
In the context of set theory and descriptive set theory, a **Universally Baire set** is a type of subset of a Polish space (a separable completely metrizable topological space) that has certain properties concerning measure and category. Here's a more precise description: 1. **Baire Space**: A topological space is a Baire space if the intersection of countably many dense open sets is dense. This property is significant in various areas of analysis and topology.
The term "worldly cardinal" isn't widely recognized in common discourse or established literature, so it could refer to different concepts depending on context. However, it seems to suggest two distinct meanings: 1. **Religious Context**: In a more traditional sense, a "cardinal" typically refers to a high-ranking official in the Roman Catholic Church, a cardinal is a member of the clergy who is appointed by the Pope and is eligible to participate in papal elections.
Gottlob Frege (1848–1925) was a German philosopher, logician, and mathematician, widely regarded as one of the founding figures of modern logic and analytic philosophy. His work primarily focused on the philosophy of language, mathematics, and logic, and he made significant contributions to the foundations of mathematics.
Itay Neeman is a mathematician known for his work in the fields of model theory, set theory, and descriptive set theory. His research often involves topics like the interaction between logic and other areas of mathematics, including analysis and topology. He has produced a number of important results and publications in these areas.
LAPCAT, which stands for "LAnked Public Collection of ATaxonomical data," is a conceptual framework or project aimed at creating a comprehensive, organized database of taxonomical data. It focuses on making taxonomic information more accessible for research and educational purposes. The goal is to compile and standardize information regarding various species, their classifications, and related data in a manner that is easily searchable and usable for scientists, researchers, and educators.
Univel was a joint venture between IBM and Novell in the early 1990s, aimed at combining IBM's software and hardware expertise with Novell's networking and operating system capabilities. The goal of Univel was primarily to produce a version of the UNIX operating system that would be compatible with IBM's hardware and to enhance networking solutions, particularly in enterprise environments. The collaboration produced a UNIX variant known as "UnixWare," which was designed for performance on IBM's systems.
Endianness refers to the order in which bytes are arranged within larger data types (such as integers or floating-point numbers) when stored in computer memory. It plays a crucial role in data interpretation and communication between different systems and architectures. There are two primary types of endianness: 1. **Big-endian**: In this format, the most significant byte (the "big end") is stored at the lowest memory address, while the least significant byte is stored at the highest address.
Sy Friedman could refer to a few different individuals, depending on the context. One notable person by that name was a prominent figure in the New York City real estate and banking sectors, notably working with the New York State Mortgage Agency. However, if you are looking for information about Sy Friedman in a specific context (such as entertainment, business, etc.
Fictionalism is a philosophical position that suggests certain kinds of statements or theories, particularly in fields like mathematics, ethics, and science, should be understood as useful fictions rather than literal truths. It argues that while these statements may not correspond to objective realities, they can still be useful for practical purposes, facilitating communication, problem-solving, and conceptual understanding.
Trivialism is a philosophical position related to the nature of truth and knowledge. It asserts that all statements, regardless of their content, are true. In other words, it holds that every proposition, whether it is true or false in conventional terms, can be considered true in some sense.
The "Two Truths Doctrine" is a philosophical concept primarily associated with Buddhist epistemology and metaphysics. It is a framework for understanding how different levels of reality coexist and how they can be truthfully articulated. The doctrine posits that there are two kinds of truths: 1. **Conventional Truth (Samvṛti-satya)**: This refers to the everyday truths that arise within the context of ordinary experience and social conventions.
Carus Mathematical Monographs is a series of books published by the Mathematical Association of America (MAA). The series is designed to promote mathematical research and education by providing high-quality, accessible expository texts on a variety of mathematical topics. Each monograph in the series often focuses on specific areas of interest in mathematics, including both pure and applied mathematics.
Biometrika is a renowned scientific journal that focuses on the field of biometrics, statistics, and biostatistics. Established in 1901, the journal publishes research articles, reviews, and other contributions related to statistical methodology and its applications in biological research and various fields such as ecology, genetics, medicine, and social sciences. Biometrika is particularly known for its emphasis on theoretical developments in statistical methodology as well as applied statistics in the life sciences.
"The End of Average" is a concept popularized by the statistician and author Todd Rose in his book titled "The End of Average: Unlocking Our Potential by Embracing What Makes Us Different," published in 2016. The main thesis of the book is that traditional metrics, particularly the use of average measurements, are often misleading and inadequate for understanding individual potential and performance.
"The Tiger That Isn't" is a book written by British mathematicians Charlotte McDonald and John L. T. Houghton. It is a popular science book that explores the concept of mathematics and probability using engaging and accessible language. The central theme revolves around the idea of mathematical reasoning and the ways in which our intuitions can often lead us astray.
Revista Colombiana de Estadística (Colombian Journal of Statistics) is a scholarly journal that focuses on the field of statistics, particularly in relation to Colombia. It publishes research articles, papers, and other works that contribute to the advancement of statistical science, methodologies, and applications. The journal typically covers a wide range of topics, including theoretical developments, applied statistics, statistical modeling, data analysis, and related fields.
Research Synthesis Methods refer to the systematic processes used to combine and analyze findings from multiple studies to develop a comprehensive understanding of a particular topic, question, or hypothesis. This methodology is crucial in fields like medicine, social sciences, education, and psychology, where researchers seek to integrate scattered research findings to draw more robust conclusions.
Communications in Statistics refers to a branch of statistics that focuses on the presentation, interpretation, and dissemination of statistical information and findings. This area emphasizes clear and effective communication of statistical concepts, methodologies, and results across various audiences, including researchers, practitioners, decision-makers, and the general public. Key aspects of Communications in Statistics include: 1. **Data Visualization**: The use of graphs, charts, and other visual tools to present statistical data in an understandable and meaningful way.
The Journal of Agricultural, Biological, and Environmental Statistics (JABES) is a peer-reviewed academic journal that focuses on statistical methods and their applications in agricultural, biological, and environmental research. It serves as a platform for the dissemination of research related to statistical techniques, methodologies, and novel applications that address challenges in these fields.
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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
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. - Infinitely deep tables of contents:
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





