A Boolean-valued function is a function whose outputs are Boolean values, typically represented as either true (1) or false (0). These functions operate on Boolean variables, which can also take on these two values. In more formal terms, a Boolean function can be expressed as: - \( f: \{0, 1\}^n \rightarrow \{0, 1\} \) where \( n \) is the number of Boolean inputs.
Georg Cantor (1845–1918) was a German mathematician best known for his groundbreaking work in the field of set theory and for developing the concept of infinity. He introduced the idea of comparing the sizes of infinite sets, demonstrating that some infinities are larger than others, which was a revolutionary concept at the time.
Heinz-Dieter Ebbinghaus is a German educator and researcher known for his work in the fields of educational research and cognitive psychology. He has contributed to understanding learning processes, memory, and educational methods. Ebbinghaus is particularly noted for his studies on retention and forgetting, though his contributions may not be as widely recognized outside of academic circles.
Moti Gitik is a prominent Israeli mathematician known for his work in set theory and related areas. He has made significant contributions to various topics, including forcing, large cardinals, and the foundations of mathematics. Gitik is noted for his work on the independence problems in set theory, particularly concerning the continuum hypothesis and other questions related to infinite sets. His research has had a substantial impact on the field, and he is recognized for his expertise and influence in mathematical logic and set theory.
Paul Finsler is a notable figure known for his contributions to mathematics and the field of Finsler geometry, which generalizes Riemannian geometry. In Finsler geometry, the concept of distance is defined in a more generalized manner than in traditional Riemannian spaces, allowing for the metric to vary in different directions. This mathematical framework has applications in various fields, including physics, particularly in the study of general relativity and the geometry of spacetime.
William Bigelow Easton is not a widely recognized historical or public figure, and there seems to be limited information available about someone by that name. It's possible that he could be a private individual or a niche figure in a specialized field that does not have ample coverage in popular sources. If you meant something else, such as a specific context (e.g.
Constructivism, in the context of the philosophy of science, is a viewpoint that emphasizes the active role of individuals and communities in the construction of knowledge. Unlike more traditional epistemologies that suggest knowledge is a reflection of objective reality, constructivism posits that knowledge is constructed through social processes, interactions, and cultural contexts.
The Pragmatic theory of truth is a philosophical concept that defines truth in terms of practical outcomes and the usefulness of beliefs or propositions. According to this theory, a statement is considered true if it produces satisfactory results, proves effective in practice, or is useful in a real-world context. This perspective contrasts with other theories of truth, such as the correspondence theory, which defines truth as the alignment of statements with reality, and the coherence theory, which focuses on the consistency among a set of beliefs or propositions.
The Copernican Question refers to a fundamental inquiry about the nature of the universe and humanity's place within it, stemming from the revolutionary ideas presented by the astronomer Nicolaus Copernicus in the 16th century.
Margaret Baron could refer to a number of individuals in different contexts, but one prominent figure is Margaret Baron, a British artist known for her work in various media, including painting and printmaking. Without more specific context, it's difficult to determine exactly which Margaret Baron you may be referring to, as the name could belong to someone in artistic, academic, or other professional fields.
Andrew Turberfield is a prominent figure in the field of nanotechnology and molecular biology. He is known for his work on DNA nanomachines and the development of DNA-based devices. Turberfield has contributed significantly to the understanding of how DNA can be used to construct nanoscale structures and execute programmed functions, effectively bridging the gap between biology and engineering at the molecular level.
Greg Parker could refer to multiple people, depending on the context. Without additional information, it's difficult to provide a specific answer. For instance, Greg Parker might refer to: 1. **An Author or Academic**: There may be individuals with that name who have published works in various fields. 2. **A Businessperson**: There may be entrepreneurs or executives named Greg Parker, particularly in industries like retail, technology, or other sectors.
Jeremy Burroughes is a notable figure in the field of molecular electronics and has made significant contributions to organic materials and devices, particularly in the realm of organic light-emitting diodes (OLEDs) and organic photovoltaic cells. He has conducted extensive research on charge transport in organic semiconductors and has authored numerous scientific papers.
Jeremy Chittenden might refer to a specific individual, but without additional context, it's difficult to provide accurate information. He could be a professional in various fields, possibly including business, academia, the arts, or another sector.
The NAG Numerical Library is a comprehensive collection of mathematical and statistical functions and algorithms designed for solving a variety of numerical problems. Developed and maintained by the Numerical Algorithms Group (NAG), the library provides tools for tasks such as: 1. **Linear Algebra**: Solving systems of equations, eigenvalue problems, and matrix factorizations. 2. **Optimization**: Finding maxima and minima of functions, including linear and nonlinear optimization problems.
As of my last knowledge update in October 2021, there is no widely recognized individual or concept specifically known as "Leslie Hodson." It’s possible that Leslie Hodson is a private individual, a lesser-known figure, or a name that has gained prominence after 2021.
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





