The Freidlin–Wentzell theorem is a significant result in the field of stochastic analysis, particularly in the study of large deviations in dynamical systems influenced by random noise. It is named after the mathematicians Mark Freidlin and Walter Wentzell, who contributed to the theory in the context of stochastic processes. In a general sense, the theorem deals with the behavior of trajectories of stochastic processes governed by a weakly deterministic force and subject to random perturbations.
Wei-Kan Chu is a prominent figure in the field of physics, particularly known for his research in solid-state physics and materials science. His work has focused on areas such as superconductivity, magnetism, and magnetic materials. Chu has also contributed to the development of new experimental techniques and has authored numerous research papers that have significantly advanced the understanding of complex materials. In addition to his research contributions, Wei-Kan Chu has been involved in academic leadership and has held positions at various institutions.
A "Fresh variable" typically refers to a variable in programming, mathematics, or logic that has not been previously used or defined in a given context. This concept is often utilized in various areas such as: 1. **Symbolic Logic**: In logic and formal proofs, a fresh variable is introduced to avoid conflict with existing variables. It ensures that the variable represents a distinct entity that does not interfere with other variables or expressions.
Valence Bond Theory (VBT) is a fundamental theory in quantum chemistry that describes the formation of chemical bonds between atoms. It focuses on the interactions of atomic orbitals to explain how bonds are formed and how the properties of molecules arise from these bonds.
Van Zandt Williams is likely referring to a prominent American lawyer and author known for his work in the fields of antitrust law and intellectual property rights. It's possible that the name is also connected to a specific firm, publication, or legal case. However, without additional context, it's difficult to pinpoint exactly what "Van Zandt Williams" refers to.
The Fröhlich Prize is an award presented by the International Society for the Advancement of Superconductivity (ISAS) to recognize outstanding contributions to the field of superconductivity. Named after the physicist Johannes Fröhlich, the prize honors individuals or groups who have made significant advancements in superconducting materials, phenomena, or applications. The award typically emphasizes contributions that are innovative and impactful within the scientific community, promoting further research and development in superconductivity.
A \( (0, 1) \)-simple lattice, also known simply as a simple lattice, is an important concept in the field of mathematical lattices, particularly relating to order theory and combinatorics. In general, a lattice is a partially ordered set in which any two elements have a unique least upper bound (supremum, often denoted as \(\vee\)) and a unique greatest lower bound (infimum, often denoted as \(\wedge\)).
The 19th century was a significant period for the development of physics in America, marked by the contributions of several pivotal figures who laid the groundwork for modern science. Here are a few key American physicists from that era: 1. **Benjamin Thompson (Count Rumford)** - Known for his work in thermodynamics and the nature of heat, he conducted important experiments on heat and calorimetry.
The 19th century was a significant period for physics in Germany, marked by numerous contributions and the development of various physical theories. Some notable German physicists from this era include: 1. **Gustav Kirchhoff (1824-1887)** - Known for his work on electrical circuits and spectroscopy. Kirchhoff's laws of current and voltage are fundamental to circuit analysis.
The 19th century was a significant period for science and technology in Hungary, with several physicists making notable contributions. Some of the most prominent Hungarian physicists of that era include: 1. **János Bolyai (1802-1860)**: A mathematician and philosopher known for his work in non-Euclidean geometry, which has implications in physics, particularly in the theory of relativity.
Full Width at Half Maximum (FWHM) is a parameter used to describe the width of a signal, peak, or distribution in various fields such as physics, engineering, and statistics. It specifically measures the distance between the two points on the curve where the function's value is equal to half of the maximum value of the curve.
The 20th century saw several influential Argentine physicists who made significant contributions to various fields, including theoretical physics, nuclear physics, and condensed matter physics. Here are a few notable Argentine physicists from that era: 1. **Carlos Chagas** - Although primarily known as a physician, Chagas's work involved significant interdisciplinary approaches, impacting biophysics and public health in Argentina.
The 20th century saw significant contributions from Danish physicists, with Niels Bohr being one of the most prominent figures. 1. **Niels Bohr (1885-1962)**: Bohr was awarded the Nobel Prize in Physics in 1922 for his foundational work in atomic structure and quantum theory, particularly the Bohr model of the atom.
The 20th century saw significant contributions from Irish physicists in various areas of research. Here are a few notable figures: 1. **Ernest Walton (1903-1995)**: An Irish physicist who, along with his collaborator, was awarded the Nobel Prize in Physics in 1951 for their work on the development of the first cyclotron and for the artificial disintegration of atomic nuclei. Walton’s work was crucial in advancing nuclear physics.
Twenty-first-century New Zealand physicists have made significant contributions across various fields of physics, both in theoretical and experimental areas. Here are some prominent figures and developments from 20th-century New Zealand physics: 1. **Ernest Rutherford**: Often called the father of nuclear physics, Rutherford was born in New Zealand and became one of the most prominent scientists of the 20th century.
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





