The Titius–Bode law, also known simply as Bode's law, is an empirical rule that suggests a pattern in the distances of the planets from the Sun in our solar system. The law states that the distances of the planets from the Sun follow a specific mathematical progression. According to the Titius–Bode law, the distance (in astronomical units, AU) of the planets can be approximated using the formula: \[ a_n = 0.4 + 0.
The Tohoku Mathematical Journal is a peer-reviewed academic journal that publishes original research articles in the field of mathematics. Established in 1911, it is one of the well-respected journals in the mathematical community. The journal is based in Japan and has a particular focus on pure mathematics, covering a wide range of topics including algebra, analysis, geometry, and topology.
Topological defects are irregularities or disruptions that occur in a medium where the spatial arrangement of the constituents is defined by a specific order parameter. These defects arise in various fields of physics, particularly in the study of condensed matter systems, cosmology, and field theory. They reflect a mismatch between the local symmetry of the system and the global properties of the medium.
Foucault's measurement of the speed of light refers to a famous experiment carried out by the French physicist Léon Foucault in 1850. Foucault's apparatus involved a rotating mirror and a light source. In his experiment, light was directed toward a rotating mirror, reflected off it, and then sent to a stationary mirror placed some distance away. The rotating mirror would move slightly during the time it took for the light to travel to the stationary mirror and back.
Wilfried Schmid is a mathematician known for his work in various fields of mathematics, particularly in areas such as algebra, geometry, and mathematical education. He is also recognized for his contributions to the mathematical community, including publications and teaching. However, without more specific context, it’s difficult to provide detailed information about his work or achievements.
The France-Pakistan Atomic Energy Framework refers to a collaborative agreement focused on civil nuclear cooperation between France and Pakistan. It encompasses various aspects of nuclear energy development, including peaceful uses of atomic energy, technology transfer, safety protocols, and potentially the training of personnel. This framework is part of Pakistan's broader strategy to enhance its civil nuclear capability for energy generation, amidst concerns over energy shortages.
François Châtelet is a French mathematician known for his work in the fields of algebra and number theory. He has made significant contributions to the understanding of algebraic structures and has authored several important papers and books in mathematics. Châtelet's work often involves advanced topics such as algebraic geometry, Galois theory, and the interplay between different branches of mathematics.
Fred Taylor is an American physicist known for his work in the field of particle physics and for his contributions to the study of astrophysics and cosmology. He has been involved in various research projects and has made significant contributions to our understanding of elementary particles and fundamental forces in the universe.
As of my last update in October 2021, there is no widely recognized figure or concept specifically associated with the name "Pierre Conner." It's possible that you might be referring to a lesser-known individual, a character from a book, movie, or other media, or a topic that has emerged after my last update.
Yuri Trutnev is a prominent Russian scientist, known for his contributions to the fields of environmental science, ecology, and biology. He has focused on issues related to biodiversity, conservation, and the ecological impacts of human activities. His work often emphasizes the importance of preserving natural ecosystems and understanding the complex interactions within them. In addition to his research contributions, Trutnev has also been involved in academic and policy discussions regarding environmental protection in Russia and globally.
Freezing-point depression is a colligative property of solutions, which describes the phenomenon where the freezing point of a solvent is lowered when a solute is added. This occurs because the presence of solute particles disrupts the formation of the orderly crystalline structure of the solid phase (ice) that the solvent would normally form at its freezing point.
As of my last knowledge update in October 2023, there isn't a widely recognized figure named Yuriy Reznikov in public records, media, or popular culture. It's possible that Yuriy Reznikov is a lesser-known individual, a character in a story, or someone who has emerged after that date.
The **Universal Portfolio Algorithm** is a financial strategy developed by Herbert Simon and further formalized by Zvi Bodie and others. The algorithm is designed to optimize investment portfolios over time by dynamically adjusting the allocation of assets based on ongoing performance. ### Key Concepts 1. **Universal Portfolio**: The idea behind a universal portfolio is to create an investment strategy that performs well compared to any other strategy in hindsight.
The Valeriano Fault System is a geological feature located in the region of central Chile. It is part of the complex system of faults and tectonic structures associated with the ongoing subduction of the Nazca Plate beneath the South American Plate. This fault system is characterized by a series of active faults that can generate earthquakes, and it plays a significant role in the tectonics of the area.
Verónica Martínez de la Vega is not a widely recognized figure as of my last update in October 2023, and there may be multiple individuals with that name.
Vladimir Fyodorov is a Russian actor known for his work in film and television. He has appeared in various roles throughout his career, showcasing his talent in the acting field. Although not as widely recognized internationally, he has made contributions to Russian cinema and TV. His work may include a range of genres, from drama to comedy, reflecting the versatility common among actors in the industry.
Fuhito Kojima is not widely recognized as a notable figure in mainstream media, academia, or other prominent fields as of my last knowledge update in October 2023. It's possible that he could be a private individual or a person known in specific niche communities, such as Japanese culture, literature, or the arts.

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