A map of lattices is a mathematical concept that arises in the study of lattice theory, which deals with the algebraic structures known as lattices. A lattice is a partially ordered set in which any two elements have a unique supremum (least upper bound) and an infimum (greatest lower bound).
The Rayleigh–Jeans law is a formula that describes the spectral distribution of electromagnetic radiation emitted by a black body in thermal equilibrium at a given temperature. It was developed by Lord Rayleigh and Sir James Jeans in the early 20th century.
Swedish astronomers refer to astronomers from Sweden or those who have worked in Sweden, contributing to the field of astronomy through research, discoveries, or advancements in related technologies. Sweden has a rich history in astronomy, with notable figures such as: 1. **Anders Celsius** - Known for the Celsius temperature scale, he also made contributions to astronomy and was involved in the measurement of the size of the Earth.
"Sweet Dreams: Philosophical Obstacles to a Science of Consciousness" is a book by philosopher Daniel Dennett, published in 2005. In this book, Dennett explores the nature of consciousness and how philosophical questions intersect with scientific understanding. He critiques various positions regarding consciousness, particularly those that assert it is an inherently subjective experience that cannot be fully understood through objective scientific methods.
Mark Colyvan is a philosopher primarily known for his work in the philosophy of mathematics and logic, as well as his contributions to the philosophy of science. He has explored topics such as mathematical realism, the nature of mathematical objects, and the implications of mathematical practices for our understanding of scientific theories. Colyvan has published extensively in academic journals and has authored books that address these philosophical issues.
Marshall Hall Jr. (born 1924) is an American mathematician known for his contributions to the fields of group theory and combinatorics, particularly in the context of finite groups. He has made significant contributions to the study of finite groups, including work on group actions, transitive groups, and permutation groups. His research often involves the intersection of algebra and combinatorial structures, and he has written several influential papers in these areas.
Martin Zwierlein could refer to a specific individual, typically in academic or professional contexts, but without more context, it's hard to provide a precise answer. Martin Zwierlein might be known for his work in physics or a related scientific field, as there is a physicist by that name who has contributed to research, particularly in condensed matter physics.
Mary Leontius Schulte is likely a reference to a notable individual or figure, but without further context, it's challenging to provide specific information. The name could pertain to various areas such as academia, literature, the arts, or other fields.
A quadrupole magnet is a type of magnet used primarily in particle accelerators and beamlines for focusing charged particle beams. It generates a magnetic field with a specific spatial variation that can focus or defocus charged particles in two transverse directions, allowing for tighter control of the beam's shape and trajectory.
A symplectic vector space is a kind of vector space that is equipped with a bilinear, skew-symmetric form known as a symplectic form.
An algebraic element is an element \( \alpha \) of a field extension \( K \) over a base field \( F \) such that \( \alpha \) is a root of some non-zero polynomial with coefficients in \( F \). In other words, there exists a polynomial \( f(x) \in F[x] \) such that \[ f(\alpha) = 0.
Synthetic Biology Open Language (SBOL) is a standard for encoding information related to synthetic biology in a way that facilitates sharing and understanding across different platforms and tools. Introduced to improve interoperability in the field of synthetic biology, SBOL provides a structured framework for representing biological parts, devices, and systems, enabling researchers to effectively communicate about and reuse biological components.
The Systematic and Evolutionary Biogeography Association (SEBA) is an organization that focuses on the study of biogeography, which examines the distribution of species and ecosystems across geographical space and time. SEBA aims to promote research and knowledge in the fields of systematic biology and evolutionary biogeography, fostering collaboration among scientists engaged in these areas. The association typically facilitates meetings, conferences, and workshops to discuss recent developments, share findings, and encourage collaboration among researchers.
System of Systems Engineering (SoSE) is an interdisciplinary field that focuses on the design, analysis, and management of systems that are composed of multiple independent, interacting systems, often referred to as "systems of systems." These systems can be complex and may operate in various domains such as defense, transportation, healthcare, telecommunications, and more.
A perfect fluid is an idealized concept in fluid dynamics and theoretical physics, particularly in the context of general relativity. Here are the key characteristics of a perfect fluid: 1. **Homogeneity**: A perfect fluid is considered to be uniform in density and pressure throughout its volume. This means that its properties do not vary from one point to another within the fluid. 2. **Isotropy**: The pressure exerted by a perfect fluid is the same in all directions.
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





