Lie theory is a branch of mathematics that studies Lie groups and Lie algebras, which are foundational structures in various areas of mathematics and theoretical physics. Named after the Norwegian mathematician Sophus Lie, the theory originated in the study of continuous symmetries and their applications to differential equations and geometry.
Physics events refer to occurrences or phenomena that can be studied, analyzed, or measured within the field of physics. These events can take many forms and cover a wide range of topics, such as: 1. **Experimental Events**: These involve controlled experiments where physical laws can be tested, such as particle collisions in accelerators, measurements of gravitational waves, or observations of quantum phenomena.
A Hermite ring, often related to the field of number theory and algebra, typically refers to a certain type of algebraic structure that has properties akin to those of Hermite polynomials or Hermitian matrices, although the precise definition may vary depending on the context in which the term is used. In a broader sense, a Hermite ring may refer to a ring of numbers or polynomials that uphold specific symmetries or characteristics reminiscent of Hermite functions or polynomials.
Franz N. D. Kurie may refer to a contemporary figure, but as of my last update in October 2021, there isn't any widely recognized information or notable figure by that name in public records, academic publications, or popular culture. It's possible that this individual gained prominence after my last training cut-off, or they might be a private individual not widely covered in public domains. If you have more specific context or details about Franz N. D.
William F. Brinkman is an American physicist known for his contributions to nuclear physics and his work in various governmental and educational roles. He served as the Director of the Office of Science in the U.S. Department of Energy and has been involved in research related to particle physics and nuclear science. Additionally, Brinkman has held positions in academic institutions, contributing to the advancement of science and education in these fields.
Big O notation is a mathematical concept used to describe the performance or complexity of an algorithm in terms of time or space requirements as the input size grows. It provides a high-level understanding of how the runtime or space requirements of an algorithm scale with increasing input sizes, allowing for a general comparison between different algorithms. In Big O notation, we express the upper bound of an algorithm's growth rate, ignoring constant factors and lower-order terms.
Varadhan's lemma is a fundamental result in probability theory, particularly in the field of large deviations. It provides a way to evaluate the asymptotic behavior of certain probabilities as a parameter goes to infinity, often in the context of sequences of random variables or stochastic processes.
Basketball clubs in international competitions refer to professional basketball teams that participate in tournaments and leagues that feature clubs from multiple countries. These competitions provide a platform for teams to compete at a high level beyond their national leagues and often feature some of the best players and clubs in the world. Here are some of the notable international competitions for basketball clubs: 1. **EuroLeague**: The EuroLeague is the top-tier European professional basketball club competition.
EuroBasket Records refers to the statistical achievements and milestones in the history of EuroBasket, the European basketball championship organized by FIBA Europe. This tournament features national teams from various European countries competing for the title of European champion.
The FIBA Basketball World Cup Top Scorer award is given to the player who scores the most points during the tournament. This accolade is awarded at the end of each World Cup, recognizing individual scoring prowess among the participating nations. The player who wins this award is typically recognized for their exceptional performance throughout the games. Historically, notable players such as Dirk Nowitzki, Michael Jordan, and more recent stars have achieved this distinction.
The Korean Basketball League (KBL) maintains records of various statistical leaders each season across several categories, including points, rebounds, assists, steals, and blocks. These statistics highlight the top-performing players in the league every year. The specific leaders can vary from season to season.
As of my last update in October 2023, the following is a list of basketball players with the most career points in NBA history: 1. **Kareem Abdul-Jabbar** - 38,387 points 2. **Karl Malone** - 36,928 points 3. **LeBron James** - 38,500+ points (LeBron is actively playing, and his total is still increasing) 4.
Offset binary, also known as "biased binary" or "excess-N" representation, is a binary number encoding system that is primarily used to represent signed integers in a way that makes certain arithmetic operations simpler, particularly in digital electronics. In offset binary, a bias value is added to the actual value being represented to compute its binary equivalent. For example, in an n-bit offset binary system, the bias is typically \( 2^{(n - 1)} \).

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 5. . 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.
  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