The Ellsberg paradox is a thought experiment in decision theory and behavioral economics, formulated by Daniel Ellsberg in the early 1960s. It illustrates people's aversion to ambiguity and uncertainty, highlighting how individuals tend to prefer known risks over unknown risks, even when the expected outcomes might suggest otherwise. In the classic version of the paradox, participants are presented with two urns: - **Urn A** contains 50 red balls and 50 black balls.
The Three Prisoners problem is a classic problem in probability and decision theory that illustrates interesting aspects of conditional probability and the paradoxes that can arise in such situations. Here's a typical formulation of the problem: Three prisoners, A, B, and C, are each assigned a number (1, 2, or 3) by a warden, but they do not know their own numbers.
The accuracy paradox is a phenomenon that occurs in the evaluation of classification models, particularly in imbalanced datasets, where a model may achieve high accuracy despite performing poorly in detecting the minority class. Here's how it works: 1. **Imbalanced Classes**: In many real-world datasets, one class may significantly outnumber another. For example, in a medical diagnosis model for a rare disease, there could be 95% healthy individuals and only 5% who have the disease.
Freedman's paradox is a concept in statistics and economics that highlights a seemingly counterintuitive result related to the correlation between two variables that are influenced by a third variable. Specifically, it often relates to the issue of marginal vs. conditional relationships. The paradox demonstrates that when examining the relationship between two variables (let's call them A and B), the inclusion of a third variable (C), which is correlated with both A and B, can significantly alter the observed relationship between A and B.
Hand's paradox, also known as the paradox of the two hands, is a thought experiment in probability and statistics that illustrates a problem of intuitive understanding when it comes to conditional probability. It is named after the statistician David Hand, who highlighted the paradox in discussions of risk and decision-making.
Stein's example is a concept in the field of statistics, particularly in the context of estimation theory. It refers to a specific case that illustrates the phenomenon of "Stein's paradox," which highlights situations where the optimal estimator can outperform the maximum likelihood estimator (MLE) even when the MLE is unbiased. The classic example involves estimating the mean of a multivariate normal distribution.
As of my last update in October 2023, "X.PC" does not refer to any widely recognized or standard term in technology, computing, or other fields. However, it's possible that "X.PC" could represent a newer product, service, or concept that has emerged after that date or could be an abbreviation or a shorthand for something specific within a particular context or niche.
"Polish statisticians" can refer to several things, depending on the context. Generally, it could denote: 1. **Statisticians from Poland**: Professionals who specialize in the field of statistics and are based in Poland. These may include researchers, academics, and practitioners who apply statistical methods to various fields such as economics, social sciences, health, and more.
Polish women mathematicians have made significant contributions to the field of mathematics, often overcoming societal barriers to pursue their academic passions. Some notable figures include: 1. **Maria Skłodowska Curie (1867–1934)**: Although primarily known for her work in physics and chemistry, her research techniques and approach to scientific inquiry influenced various fields, including mathematics.
Kazimierz Bartel was a prominent Polish mathematician, educator, and politician, born on March 27, 1882, and who passed away on October 27, 1941. He is known for his contributions to the field of mathematics, especially in mathematical logic and the foundations of mathematics. Bartel was also involved in Polish academic life, serving as a professor and having a significant influence on the development of mathematical studies in Poland.
Michał Falkener does not appear to be a widely recognized public figure or term based on the information available up until October 2023. It is possible that he could be a private individual, a professional in a specific field, or a character in a lesser-known work.
Przemysław Prusinkiewicz is a notable figure in the field of computer science, particularly recognized for his work in the area of computer graphics and the development of algorithms for simulating plant growth. He is well known for his contributions to the study of L-systems (Lindenmayer systems), which are a mathematical formalism used to describe the growth processes of plants and other organisms. His research has applications in areas like computer graphics, modeling, and artificial life.
Tadeusz Iwaniec is a prominent Polish mathematician known for his contributions to analysis, partial differential equations, and geometric measure theory. He has made significant advancements in areas such as harmonic analysis and the theory of quasiconformal mappings. Iwaniec's work has been influential in both pure and applied mathematics, particularly in understanding the regularity of solutions to variational problems and in the study of geometric structures. He has also authored and co-authored several important mathematical texts and research papers.
Zdzisław Pawlak (1924–2018) was a prominent Polish scientist and mathematician best known for his work in the fields of computer science, particularly in the areas of rough set theory and knowledge representation. He introduced the concept of rough sets in the early 1980s, which is a mathematical framework for dealing with uncertainty and vagueness in data. Rough set theory has applications in various domains, including data mining, machine learning, and artificial intelligence.
Weepul is not a widely recognized term or entity, and there might be various meanings depending on context. However, within certain contexts, Weepul may refer to: 1. **Social Platform**: Weepul could potentially be a social networking platform, similar to platforms like Facebook or Twitter, focusing on certain themes, functionalities, or user demographics.
As of my last knowledge update in October 2023, there isn't widely-known information regarding an individual or entity named "Daniel Abibi." It's possible that he could be a private individual or a less prominent figure not covered in prominent news sources or databases.
Matila Ghyka (1881–1965) was a Romanian diplomat, mathematician, philosopher, and writer known for his work in multiple fields, including art, mathematics, and philosophy. He is particularly recognized for his contributions to the study of proportion and aesthetic principles, often drawing on mathematical concepts to explore ideas in beauty and harmony.
Maria Korovina is not a widely recognized figure, concept, or term as of my last knowledge update in October 2023. It’s possible that it refers to a person, place, or organization that is less known, or it could be a name that has come to prominence after my last update.
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 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.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. - 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