Combinatorial algorithms are a class of algorithms that are designed to solve problems involving combinations, arrangements, and selections of discrete objects. These algorithms are often used in fields such as computer science, operations research, and mathematics to solve problems that can be defined using combinatorial structures, such as graphs, sets, sequences, and permutations.
Quasi-isomorphism is a concept that arises in the context of homological algebra and category theory, particularly in the study of chain complexes and their morphisms. In simple terms, a quasi-isomorphism is a morphism (map) between two chain complexes that induces isomorphisms on all levels of their homology.
A Community Matrix is a tool often used in various fields such as ecology, sociology, and information science to organize and analyze community-related data. It provides a structured way to visualize the relationships between different entities within a community, such as species, individuals, or organizations, and can highlight interactions, connections, or relationships. In ecological studies, for example, a Community Matrix might detail the presence and abundance of different species within a given habitat, helping researchers understand biodiversity and species interactions.
A comparison microscope is a specialized optical device used to compare two separate specimens side by side under magnification. It consists of two microscopes that are connected by a shared optical system, allowing for simultaneous viewing of both specimens. This type of microscope is commonly employed in forensic science, particularly in the examination of firearms, hair, fibers, and all types of materials where detailed analysis and comparison are necessary.
"Compositions by instrumentation" refers to categorizing musical compositions based on the types of instruments used in their performance. This classification helps musicians, composers, and educators understand the sound, texture, and style of a piece, as different instrument combinations can evoke unique musical characteristics. Here are common categories of compositions by instrumentation: 1. **Solo Works**: Compositions written for a single instrument, such as piano sonatas or violin solos.
Geresh is a musical notation used in Hebrew chant, particularly in the recitation of biblical texts and liturgical works. It is often classified as one of the cantillation signs or "trope" marks found in the Hebrew Bible, which guide the way the text is to be vocalized during reading or singing. In the context of Hebrew cantillation, Geresh indicates a specific melodic pattern and plays a role in conveying the emotional tone and meaning of the text.
Computational transportation science is an interdisciplinary field that leverages computational methods, data analysis, and modeling techniques to study and improve transportation systems. It combines elements from transportation engineering, computer science, operations research, and applied mathematics to address various challenges in transportation, such as traffic congestion, network optimization, transportation planning, and logistics.
The band gap refers to the energy difference between the valence band, which is the highest range of electron energies in a solid where electrons are normally present, and the conduction band, which is the range of electron energies where electrons can move freely and conduct electricity. In more detail: 1. **Valence Band**: This is the energy band that contains the electrons involved in bonding. Electrons in this band are generally not free to move, as they are bound to their respective atoms.
In ring theory, a branch of abstract algebra, a **conductor** is a specific concept used to describe a relationship between two rings, particularly in the context of commutative rings with unity.
A coordinate covalent bond, also known as a dative bond, is a type of chemical bond in which one atom provides both electrons that are shared in the bond with another atom. This contrasts with a typical covalent bond, where each atom contributes one electron to the bond. In a coordinate covalent bond, the atom donating the pair of electrons is usually a Lewis base, while the atom accepting the electron pair is typically a Lewis acid.
As of my last update in October 2021, Daniel I. A. Cohen could refer to a number of different individuals, but there doesn't seem to be a widely recognized figure by that name. It's possible that he may be an academic, researcher, professional, or someone notable in a niche field. If you have a specific context or area in which you're referring to Daniel I. A. Cohen (such as literature, science, business, etc.
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





