Gödel's speed-up theorem is a result in the field of mathematical logic, particularly in the study of formal systems and computability. It essentially states that for certain mathematical statements that can be proven in a relatively weak formal system, there exist stronger systems in which those statements can be proven more efficiently—specifically, in what is known as "faster" or more succinct proofs.
The "Golden Verses" refers to a collection of moral teachings and philosophical maxims attributed to the ancient Greek philosopher Pythagoras and his followers. These verses encapsulate ethical guidance and insights on living a virtuous life. They emphasize the importance of self-discipline, piety, justice, and community, reflecting Pythagorean ideals about the pursuit of knowledge and the cultivation of the soul.
The Ramón Margalef Award for Excellence in Education is a prestigious accolade aimed at recognizing outstanding contributions to education, particularly in the fields of environmental and ecological sciences. Established in honor of the influential Spanish ecologist Ramón Margalef, the award highlights innovative teaching practices, research, and educational programs that promote ecological understanding and sustainability.
The term "Gold universe" can have different meanings depending on the context in which it is used. It generally refers to concepts related to gold as a commodity or investment, particularly in finance or economics. Here are a few potential interpretations: 1. **Investment Universe**: In investment contexts, the "gold universe" could refer to the range of available gold-related investment options. This can include physical gold, gold mining stocks, gold ETFs (Exchange-Traded Funds), and derivatives based on gold prices.
Gotthold Eisenstein was a German mathematician known for his contributions to number theory and algebra. He was born on 16th January 1823 and died on 11th October 1852. Eisenstein is particularly famous for his work on the theory of complex numbers and his contributions to the study of elliptic functions. One of his notable achievements is Eisenstein's criterion, a method for determining whether a given polynomial is irreducible over the field of rational numbers.
The Graham number is a specific large number named after mathematician Ronald Graham. It is an upper bound for a certain problem in Ramsey theory, which is a branch of combinatorial mathematics. The Graham number itself arises in connection with the properties of hypercubes and is famously known for being enormously large—much larger than numbers typically encountered in mathematics.
Judah ibn Verga was a notable Jewish scholar and physician in the 16th century, particularly renowned for his contributions to Jewish thought and philosophy. His full name is sometimes given as Judah ben Solomon ibn Verga. He is best known for his literary works, including "Shevet Yehudah," which discusses various topics related to Jewish law, ethics, and philosophy.
Judith S. Olson is a notable American researcher and professor recognized for her contributions in the fields of information and computer science, particularly in collaborative systems, human-computer interaction, and group dynamics. She has published numerous papers and has been influential in the study of how technology affects collaboration in teams. Olson has held academic positions at institutions such as the University of Michigan.
Julius Weisbach (1806–1871) was a German engineer, mathematician, and physicist, best known for his contributions to the fields of fluid mechanics and hydraulic engineering. He is particularly noted for the development of the Weisbach equation, which is used for calculating the head loss due to friction in pipes. His work laid the foundation for modern hydraulic engineering and water flow analysis.
Jun'ichi Tsujii is a prominent figure in the field of artificial intelligence, especially known for his work in natural language processing (NLP) and computational linguistics. He has contributed to various aspects of AI, including language understanding and machine learning. Additionally, he has been involved in academia and research, and his work has influenced both theoretical and practical applications of AI in understanding and generating human language.
Jurjen Battjes is a Dutch physicist known for his work in the fields of electromagnetism and radio frequency engineering. He has contributed to various research areas, including the development of theoretical models and experimental methods within these fields.
Kandilli Observatory, officially known as the Kandilli Observatory and Earthquake Research Institute, is a prominent research institution located in Istanbul, Turkey. It is affiliated with Boğaziçi University and is primarily focused on the study of seismic activity, geology, and space sciences. The observatory is named after the Kandilli district in Istanbul, where it is situated.
"Karen Banks" does not refer to a widely recognized entity or concept in popular culture, history, or other common references as of my last knowledge update. It is possible that it could refer to a specific individual, organization, or a term that has emerged more recently or is context-specific.
Karn's algorithm is a method used in computer networks, specifically in the Transmission Control Protocol (TCP), to estimate the round-trip time (RTT) between a sender and a receiver. It is particularly effective in situations where network delay can vary, as it helps manage retransmissions in the presence of such variability. The algorithm was named after Brian Karn, who introduced the method in the context of TCP in the 1990s.
Kato Precision Railroad Models, commonly known simply as Kato, is a Japanese company that specializes in the design and manufacture of high-quality model trains and railroad accessories. Founded in 1957, Kato is renowned in the model railroading community for its precision engineering, attention to detail, and innovative designs.
Kazakhstan is a country located in Central Asia, bordered by Russia to the north, China to the east, and several Central Asian countries to the south. It is the world's largest landlocked country and has significant natural resources, including oil and gas. In the context of weapons of mass destruction (WMD), Kazakhstan has a notable history, particularly regarding nuclear weapons.
KCNA6, or Potassium Voltage-Gated Channel Subfamily A Member 6, is a gene that encodes a protein that is part of the voltage-gated potassium channels. These channels play a crucial role in generating and regulating the electrical signals in neurons and muscle cells. Specifically, KCNA6 is associated with the rapid repolarization phase of action potentials, which is essential for proper nerve impulse transmission and muscle contraction.
Keisan Game, often referred to as "Calculation Game" in English, is a type of educational game designed to improve arithmetic skills, particularly in mental calculation. It typically involves simple math problems, such as addition, subtraction, multiplication, and division, that players must solve quickly and accurately. The game can be played in various formats, including as a board game, card game, or even in digital formats.
Ken Buesseler is an American oceanographer and marine chemist known for his research in the fields of oceanography and nuclear science. He is a senior scientist at the Woods Hole Oceanographic Institution (WHOI) and has gained prominence for his work on the behavior and fate of radioactive materials in the ocean, particularly in the context of nuclear accidents and their environmental impact.
The Kennicutt–Schmidt law, formulated by B. D. Kennicutt in the early 1990s, describes the empirical relationship between the surface density of star formation and the surface density of gas in galaxies. This law is significant in astrophysics as it provides insight into how stars form and evolve across different types of galaxies.

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