Subjectivism is a philosophical theory that emphasizes the role of individual perspectives, feelings, and experiences in the formation of knowledge, truth, and moral values. It asserts that our understanding and interpretation of the world are inherently shaped by our subjective experiences, rather than by an objective reality that exists independently of individuals. There are several forms of subjectivism, including: 1. **Epistemological Subjectivism**: This suggests that knowledge is contingent upon the individual's perceptions and experiences.
Lewis's triviality result, primarily associated with philosopher David Lewis, pertains to the topic of modal realism and the nature of possible worlds. In particular, it addresses the challenges of modal discourse—how we talk about what is possible, necessary, or contingent—and offers insights into the interpretation of these modalities. The result can be characterized as follows: 1. **Modal Realism**: Lewis argued for a form of modal realism, which posits that all possible worlds are as real as the actual world.
Frederick Mosteller (1916–2006) was an American statistician and educator known for his significant contributions to the field of statistics and his work in promoting the application of statistical methods in various disciplines. He played a key role in advancing statistical methodology and its application to real-world problems. Mosteller was a professor at Harvard University, where he served as the chair of the Department of Statistics and was influential in developing statistics as a discipline within the university.
As of my last update in October 2021, there isn't a widely known figure named Kelly McConville. It's possible that this person is a private individual or has gained prominence after that date.
"Newton" by Eduardo Paolozzi is a sculpture created by the Scottish artist Eduardo Paolozzi. The piece is part of a series of works that reflect Paolozzi's fascination with technology, science, and the complexities of modern life. The sculpture, which was created in 1995, is a tribute to Sir Isaac Newton, the renowned mathematician and physicist.
The Putnam Fellows are a select group of undergraduate students who achieve outstanding performance on the William Lowell Putnam Mathematical Competition, which is an annual mathematics competition for college students in the United States and Canada. The competition emphasizes problem-solving skills and abstract thinking and is known to be quite challenging. Each year, the top scorers in the competition are recognized, and the highest-scoring individuals may be designated as Putnam Fellows.
Mathematical Kangaroo is a global mathematics competition designed to stimulate interest in mathematics among students. It is aimed at students from primary and secondary schools, typically ranging from grades 3 to 12. The competition consists of multiple-choice questions that test a range of mathematical concepts and problem-solving skills. The format usually includes three levels of questions, varying in difficulty, and participants are given a limited amount of time to complete the test.
The Canadian Mathematical Olympiad (CMO) is an annual mathematics competition designed for high school students in Canada. It is one of the most prestigious math contests in the country and serves as a key component of the mathematical competition framework in Canada. The CMO aims to foster mathematical talent and encourage problem-solving skills among young mathematicians.
Miksike MentalMath is an educational tool designed to help students develop and enhance their mental arithmetic skills. It typically features a range of exercises and challenges that focus on improving speed and accuracy in performing calculations without the use of calculators or other aids. The goal of Miksike MentalMath is to make math practice engaging and accessible, often incorporating gamification elements to motivate learners. This resource can be particularly useful for children or anyone looking to strengthen their basic math skills through repetitive practice and interactive learning experiences.
The Intermediate Math League of Eastern Massachusetts (IMLEM) is a mathematics competition aimed at middle school students in the Eastern Massachusetts region. This league typically serves as a platform for students to engage with challenging mathematical problems and to foster a love for math in a competitive yet collaborative environment. Participants often solve a variety of problems that can include topics such as algebra, geometry, number theory, and combinatorics.
The Julia Robinson Mathematics Festival (JRMF) is an educational event that promotes the exploration of mathematics through collaborative, hands-on activities. Named after the mathematician Julia Robinson, who made significant contributions to mathematical logic and number theory, the festival aims to engage students of all ages in mathematical problem-solving and creative thinking. The festival typically features a variety of math-related activities, games, and challenges that encourage participants to work together, share ideas, and develop a deeper appreciation for mathematics.
The United States hosts several regional mathematics competitions, which are designed to promote problem-solving skills and foster a love for mathematics among students. While there are many contests at various levels, here is a list of some prominent regional mathematics competitions in the U.S.: 1. **Mathcounts**: A national middle school mathematics competition with regional chapters across the country. It includes various rounds, culminating in a national competition.
MathPath is an educational program designed for middle school students who have a strong interest in mathematics and a desire to explore advanced topics beyond the standard curriculum. Typically, MathPath offers a summer camp experience that focuses on problem-solving, mathematical thinking, and exploration of mathematical concepts in a fun and engaging way. The program usually includes activities such as mathematical games, competitions, and collaborative projects that encourage creativity and critical thinking.
Mathematics departments in Canada refer to the academic divisions within universities and colleges that focus on the study, teaching, and research of mathematics and its applications. These departments typically offer a range of programs, including undergraduate and graduate degrees in mathematics, applied mathematics, statistics, and related fields. They are involved in various areas of research, including pure mathematics, applied mathematics, theoretical computer science, and statistical methods.
The TUM School of Computation, Information and Technology (CIT) is a part of the Technical University of Munich (TUM), one of Germany's leading research universities. Established to advance education and research in the areas of computer science, information technology, and related disciplines, the school provides a multidisciplinary approach that combines theoretical foundations with practical applications.
Brent Coull appears to be a relatively common name, but if you are referring to a specific individual, such as a public figure, business person, or someone in a particular industry, I would need more context to provide accurate information. If you meant something else, like a place or concept, please clarify. As of my last training data cut-off in October 2021, there's no widely recognized figure by that name. Please provide more details!
Bobkov's inequality is a result in the field of probability theory and functional analysis, particularly within the context of measure theory and the study of Gaussian measures. It provides bounds on the difference between the total variation distance and the Wasserstein distance between two probability measures.
The Kunita–Watanabe inequality is a result in the theory of stochastic processes, specifically concerning martingales and stochastic integrals. It provides a bound on the expected value of the square of a stochastic integral, which is an integral with respect to a martingale or a more general stochastic process.
The Kolmogorov continuity theorem is a fundamental result in the theory of stochastic processes, particularly in the study of Brownian motion and other continuous-time processes. It provides conditions under which a collection of random variables (typically indexed by time) possesses a continuous version, which means that the sample paths of the process can be modified to be continuous with probability one.

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