David E. Shaw is an American entrepreneur, computer scientist, and investor known for his contributions to the field of computational biology and finance. He is the founder of D.E. Shaw Group, a global investment and technology development firm that specializes in quantitative and algorithmic trading. Shaw has a background in computer science, having earned a Ph.D. from Stanford University.
Regev's theorem is a result from the field of lattice-based cryptography, specifically concerning the hardness of certain mathematical problems in lattice theory. The theorem, established by Oded Regev in 2005, demonstrates that certain problems in lattices, such as the Learning with Errors (LWE) problem, are computationally hard, meaning they cannot be efficiently solved by any known classical algorithms.
"Romer" can refer to several different things, depending on the context. Here are a few possibilities: 1. **Paul Romer**: An American economist known for his work in endogenous growth theory, which emphasizes the role of technology and innovation in economic growth. He was awarded the Nobel Prize in Economic Sciences in 2018. 2. **Romer’s theorem**: In mathematics, particularly in graph theory, this theorem pertains to the colorability of graphs.
The digital economy refers to an economy that is primarily based on digital technologies, particularly the internet and information and communication technologies (ICT). It encompasses a wide range of economic activities that are facilitated by the use of digital tools, such as e-commerce, digital finance, online services, and the sharing economy. Key features of the digital economy include: 1. **E-commerce**: The buying and selling of goods and services online. This includes retail platforms, digital marketplaces, and online subscription services.
Group 13 and Group 15 in the periodic table refer to specific columns of elements that exhibit unique bonding properties, with a particular focus on their ability to form multiple bonds. ### Group 13 Group 13 elements include boron (B), aluminum (Al), gallium (Ga), indium (In), and thallium (Tl). Boron is particularly noteworthy for its ability to form covalent networks and compounds that can have unusual bonding arrangements.
Syneresis is a phenomenon observed in colloidal systems where a gel contracts and expels some of the liquid within its structure. This process can occur in various types of materials, including polysaccharide gels, protein gels, and other types of colloidal suspensions. In chemistry, syneresis typically involves the following key points: 1. **Gel Contraction**: Over time, the gel structure may shrink due to changes in the interactions between the particles that comprise the gel.
The term "wrong bishop" is not specific to any well-known concept or context. It could refer to various things depending on the context, such as a mistake in a chess game, a misstep in a religious setting or appointment, or a specific incident involving someone in a position of authority.
Water has significant cultural, symbolic, and ritual importance in many religions around the world. Its purity, life-giving properties, and transformative qualities make it a powerful symbol across different faiths. Here are some examples of how water is intertwined with religion: 1. **Christianity**: Water is a central symbol in Christianity, particularly in the context of baptism, which represents purification, rebirth, and admission into the Christian community.
A **compact closed category** is a concept from category theory, a branch of mathematics that deals with abstract structures and relationships between them. Compact closed categories provide a framework in which one can model concepts from topology, linear logic, and quantum mechanics, among other fields. Here are some key features and definitions related to compact closed categories: 1. **Categories**: A category consists of objects and morphisms (arrows) between those objects, where morphisms must satisfy certain composition and identity properties.
The term "butterfly cluster compound" can refer to a specific type of molecular structure observed in coordination chemistry or organometallic chemistry, where a group of metal atoms (often transition metals) forms a cluster with a distinctive geometry that resembles a butterfly. These compounds typically contain a central metal core and are stabilized by ligands that bind to the metal centers.
Carborane acids are a class of extremely strong superacids, known for their unique molecular structure that contains carborane clusters. A carborane itself is a cluster of boron and carbon atoms. Carborane acids are characterized by their ability to donate protons (H⁺ ions) more effectively than traditional acids, making them superacids.
Nonabelian cohomology is a branch of mathematics that studies the cohomological properties of nonabelian structures, particularly in the context of group theory and algebraic geometry. It generalizes classical cohomology theories to contexts where the groups involved do not necessarily obey the commutative property, hence the term "nonabelian.
In geographical terms, a "sound" is a large sea or ocean inlet that is typically deeper than a bay and is often characterized by its narrowness. Sounds can be formed by various geological processes, including the flooding of river valleys or the tectonic movement of land. They can separate islands from the mainland or connect inland bodies of water to the ocean. Sounds are significant for various reasons, including their role in navigation, marine ecosystems, and as locations for human settlements and activities.
BRST quantization is a formalism used in the field of quantum field theory to handle systems with gauge symmetries. It is named after the physicists Bonora, Reisz, Sirlin, and Tyutin, who contributed to its development. BRST stands for Becchi-Rouet-Stora-Tyutin, referring to the key researchers who formulated the method. The motivation for BRST quantization arises from the challenges associated with quantizing gauge theories.
OPN1MW2 is a gene that encodes a protein involved in the phototransduction process in the retina, specifically related to vision. This gene is part of the opsin family, which are light-sensitive proteins that play a crucial role in the detection of light and the conversion of that signal into neural information that can be interpreted by the brain.
"Compositions for guitar" generally refers to written pieces specifically designed for the guitar, encompassing a wide range of styles, techniques, and musical genres. These compositions can include original works by composers, arrangements of existing pieces, or traditional folk tunes adapted for guitar. Often categorized by their complexity, they can range from simple beginner pieces to advanced works that require a high level of technical skill.
"Compositions for harp" refers to musical works specifically created for the harp, an instrument known for its unique sound and complex playing techniques. These compositions can range from solo pieces to harp ensembles, and can include various styles and genres, such as classical, contemporary, folk, and more. Prominent composers of harp music include: - **Claude Debussy**: Notably his piece "Danses sacrée et profane.
Mothur is a software package designed for the analysis of microbial communities, particularly those defined by DNA sequence data from high-throughput sequencing technologies, such as 16S rRNA gene sequences. It was developed to provide a comprehensive and user-friendly tool for researchers studying microbial ecology and diversity. Key features of Mothur include: 1. **Versatility**: It supports various steps in the analysis pipeline, including data preprocessing (e.g.
Computational creativity is an interdisciplinary field that explores the creative capabilities of computer systems and algorithms. It involves the study and development of computer programs that can generate novel and valuable ideas, concepts, artifacts, or solutions, typically associated with human-like creativity. Key aspects of computational creativity include: 1. **Algorithmic Creativity**: Developing algorithms that can produce creative outputs, such as poetry, artwork, music, or even scientific theories.
Hydroinformatics is an interdisciplinary field that combines hydrology, computer science, and information technology to enhance the understanding, management, and decision-making processes related to water resources. It utilizes computational tools, models, and data analysis techniques to study and solve various problems associated with hydrological systems, including water quality, water supply, flood forecasting, and watershed management.

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