In logic and philosophy, a **proposition** is a declarative statement that expresses a judgment or opinion that can be evaluated as true or false. Propositions are the building blocks of logical reasoning and are used in various fields, including mathematics, computer science, and linguistics. Here are some key points about propositions: 1. **Truth Value**: A proposition has a truth value, meaning it is either true (T) or false (F).
Tychism is a philosophical term that refers to the belief in or emphasis on chance or randomness as a fundamental aspect of the universe, particularly in the context of natural processes. The word is derived from the Greek "tykhē," meaning fortune or chance. In philosophy, zejchism is often associated with the ideas of William James and Charles Sanders Peirce, who argued that chance events play a significant role in the development of complex systems and the evolution of life.
A benthic lander is an instrument or platform designed for studying the benthic zone, which is the lowest ecological zone in a body of water, including oceans, lakes, and rivers. This zone encompasses the sediments and the organisms living on or in the sediments at the bottom of these water bodies. Benthic landers are typically equipped with various scientific instruments and sensors to collect data on physical, chemical, and biological parameters in the benthic environment.
Byung-Chul Han is a South Korean-born philosopher and cultural theorist based in Germany, known for his work on contemporary society, culture, and issues such as technology, capitalism, and the nature of happiness. Born on April 15, 1959, Han has written extensively on a variety of topics, often focusing on the implications of neoliberalism and digital culture. His ideas explore how these forces shape individual subjectivity, relationships, and social dynamics.
Kiyoshi Itô was a renowned Japanese mathematician, best known for his groundbreaking work in stochastic calculus. Born on September 7, 1915, and passing away on November 17, 2008, Itô developed the Itô calculus, which is a fundamental framework for understanding stochastic processes, particularly in the context of financial mathematics and other fields involving uncertainty.
Florence Merlevède is a French mathematician and professor known for her contributions to the field of probability theory. She has been involved in research that spans various topics within this area, including stochastic processes and statistical models.
Francesca Biagini is not a widely recognized public figure or concept as of my last update in October 2023. It is possible that she could be a private individual, a professional in a specific field, or perhaps a character in a work of fiction.
Georg Bohlmann is a name that may refer to different individuals, but it's likely that you are asking about a notable figure in a specific field. Without further context, it's difficult to provide a precise answer. One possibility is Georg Bohlmann, a prominent researcher in the field of plant sciences, particularly known for his work on the biosynthesis of natural products, including terpenes and other compounds derived from plants.
Gheorghe Mihoc is a Romanian mathematician known for his work in the fields of mathematical analysis and differential equations. He has made significant contributions to various areas of mathematics and is recognized for his research and academic work.
Gisiro Maruyama does not appear to be widely recognized in popular culture, history, or notable academic references as of my last update in October 2023. It's possible that it could be a less-known figure, a fictional character, or a term from a specific niche or regional context.
Hans Föllmer is a well-known figure in the field of mathematics, particularly recognized for his contributions to probability theory and mathematical finance. He has published extensively on topics related to stochastic processes, risk management, and the mathematical underpinnings of finance. Föllmer is also associated with the development of various concepts in stochastic calculus and has made significant contributions to the understanding of financial markets through mathematical modeling.
Harald Cramér (1893–1987) was a prominent Swedish mathematician and statistician known for his significant contributions to probability theory and statistics. He is best known for developing the Cramér-Rao bound, which provides a lower bound on the variance of estimators, and for his work on the Cramér–Wold theorem, which relates to the characterization of multivariate distributions.
Harry Kesten is a prominent American mathematician known for his significant contributions to probability theory and statistical mechanics. He is particularly noted for his work on branching processes, percolation theory, and the study of stochastic processes. Kesten has authored numerous papers and has been involved in various academic activities, including teaching and mentoring students in the field of mathematics.
István Gyöngy is a notable Hungarian mathematician recognized for his contributions in the field of mathematical analysis, particularly in functional analysis and operator theory. He has authored and co-authored numerous research papers and has been involved in academic activities, including teaching and mentoring students in mathematics.
István Hatvani, also known as Stephen Hatvany, was a Hungarian mathematician and physicist, known for his contributions to various fields, including algebra, geometry, and theoretical physics. He is particularly noted for his work on mathematical problems and his influence on the development of mathematics in Hungary.
Johan Paulsson is a notable figure in the field of science and engineering. He is particularly recognized for his work in synthetic biology and bioengineering. His research often focuses on designing and constructing biological systems for various applications, potentially including medical and environmental solutions.
John C. Gittins is known primarily for his work in statistics and decision theory. He is most famous for the Gittins index, which is a method used in multi-armed bandit problems and other decision-making scenarios involving dynamic allocation of resources under uncertainty. The Gittins index provides a way to rank choices based on potential future rewards, making it a valuable tool in fields such as economics, operations research, and machine learning.
John L. Pollock (1929–2019) was an American philosopher and a significant figure in the field of artificial intelligence and epistemology. He is best known for his work on "defeasible reasoning," which deals with reasoning that can be invalidated by new information. Pollock's contributions include the development of formal models for reasoning and belief revisions in AI systems.
Kari Karhunen is best known for his contributions to the field of statistics and data analysis, particularly in areas related to signal processing and pattern recognition. One of his key contributions is the Karhunen-Loève theorem, which is fundamental in the areas of functional analysis and probability theory.
Kurt Johansson is a Swedish mathematician known for his contributions to probability theory and mathematical physics. His work often revolves around the intersection of these fields, particularly in areas such as random matrices, stochastic processes, and integrable systems. Johansson has made significant contributions to the understanding of large random structures and their properties, particularly through the lens of random partitions and combinatorial probability.

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