Philipp Frank (1884–1966) was an Austrian physicist and philosopher known for his work in the philosophy of science and for his contributions to the foundations of physics. He was a prominent figure in the Vienna Circle, a group of philosophers and scientists that played a key role in the development of logical positivism and scientific philosophy in the early 20th century.
Effective descriptive set theory is a branch of mathematical logic that combines aspects of descriptive set theory—a field concerned with the study of "well-behaved" sets of real numbers or points in Polish spaces—with computational aspects that come from recursion theory or computability theory. In traditional descriptive set theory, sets are studied based on properties like Borel sets, analytic sets, and coanalytic sets, primarily focusing on their topological and measure-theoretic properties.
An **extendible cardinal** is a special type of large cardinal in set theory, which is a branch of mathematical logic. The concept is based on the idea of the existence of certain cardinal numbers that exhibit strong properties regarding their size and the structure of sets.
In set theory, an **ineffable cardinal** is a type of large cardinal that is defined based on properties related to certain filters and combinatorial principles. Specifically, a cardinal \( \kappa \) is called ineffable if it satisfies the following conditions: 1. **Uncountability**: \( \kappa \) is an uncountable cardinal.
In set theory, a **superstrong cardinal** is a type of large cardinal. Large cardinals are certain kinds of infinite cardinals that have properties which imply the existence of large structures in set theory, and they are often discussed in the context of the foundations of mathematics.
Keith Devlin is a British mathematician, author, and educator known for his work in mathematics communication and mathematics education. He is a prominent advocate for the importance of mathematics in everyday life and has been involved in various efforts to enhance public understanding of mathematics. Devlin has written numerous books and articles, including works aimed at general audiences as well as those focused on mathematics education for teachers and students.
"Leo Harrington" typically refers to a theorem or a concept in mathematical logic, specifically related to set theory. The Leo-Harrington principle is a powerful result in model theory, dealing with possible extensions of structures in certain set-theoretic contexts. It is named after mathematicians Raymond Leo and Philip Harrington, who contributed to this area of mathematics.
"Udayana" can refer to several different things, depending on the context: 1. **Udayana University**: A private university located in Bali, Indonesia. It offers a range of academic programs across various fields of study. 2. **Udayana in History**: In historical and cultural contexts, "Udayana" may refer to prominent figures or localities in South Asian history, particularly in reference to ancient or medieval rulers, scholars, or notable personalities.
Ronald Jensen is not a widely recognized figure or term in popular culture, science, or history, at least as of my last knowledge update in October 2021. There may be individuals with that name in various fields, but without more specific information or context, it's hard to pinpoint who or what you are referring to.
Yiannis N. Moschovakis is a prominent figure in the fields of mathematical logic and set theory, particularly known for his contributions to effective descriptive set theory and the foundations of mathematics. He has held academic positions and has made significant contributions to the understanding of various concepts in these areas. His work often intersects with topics such as the study of computable functions, the theory of definable sets, and the complexities of different mathematical frameworks.
The consensus theory of truth is a philosophical perspective that posits that a statement or belief is true if it is agreed upon by a group of people or a community. In this view, truth is not an objective property that exists independently of human perception or understanding, but rather is constructed through social processes and collective agreement.
Ellen Beeman is not a widely recognized public figure as of my last update in October 2023. It is possible that she may be associated with a specific profession, regional significance, or local events not broadly covered in major news or common knowledge.
The Design of Experiments (DOE) is a systematic method for planning, conducting, analyzing, and interpreting controlled tests or experiments to evaluate the factors that may influence a particular outcome. It is widely used in various fields, including agriculture, manufacturing, medicine, and social sciences, to understand and optimize processes, products, or systems.
Structural Equations with Latent Variables (SEM) is a statistical technique that allows researchers to model complex relationships between observed (measured) variables and latent (unobserved) variables. SEM combines elements of factor analysis and multiple regression analysis to provide a framework for understanding the relationships among multiple variables. ### Key Components 1. **Latent Variables**: These are variables that cannot be directly measured but are inferred from other observed variables.
Statistica is a peer-reviewed scientific journal that focuses on the field of statistics and its applications. It publishes research articles, reviews, and methodological papers that contribute to the development of statistical theory and practice. The journal often covers a range of topics, including but not limited to, statistical modeling, computational statistics, statistical genetics, and applications of statistics in various fields such as social sciences, healthcare, economics, and engineering.
Biostatistics journals are academic publications that focus on the field of biostatistics, which applies statistical methods and techniques to biological, health-related, and medical data. These journals typically publish original research articles, reviews, methodologies, and case studies that contribute to the development of statistical theory and applications in the biosciences. Key areas of focus in biostatistics journals may include: 1. **Statistical Methodology**: Development of new statistical methods or improvements to existing methods for analyzing biological data.
As of my last knowledge update in October 2023, there may be multiple references to "UniSoft," as it can refer to various software companies or products, depending on the context. Here are a couple of notable examples: 1. **UniSoft Corporation**: This is a company known for its software solutions, often focused on various industries such as telecommunications, finance, and healthcare. They may provide products like system integration, data management, and enterprise software solutions.
The Journal of Statistical Physics is a peer-reviewed scientific journal that publishes articles on statistical physics, a branch of physics that applies statistical methods to study the behavior of systems with many particles. The journal covers a wide range of topics, including but not limited to thermodynamics, phase transitions, critical phenomena, non-equilibrium systems, and complex systems.
Here is a list of notable statistics journals that cover a range of areas within the field of statistics, including theoretical, applied, and interdisciplinary research: 1. **The Annals of Statistics** 2. **Journal of the American Statistical Association (JASA)** 3. **Biometrika** 4. **Journal of Statistical Planning and Inference** 5. **Statistical Methods in Medical Research** 6. **Statistics in Medicine** 7. **Journal of Computational and Graphical Statistics** 8.
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





