Charles Adolphe Wurtz (1817–1884) was a French chemist renowned for his contributions to organic chemistry and for his work on the study of chemical compounds. He is particularly known for his research on the chemistry of heterocyclic compounds and for the development of various synthetic methods. Wurtz is also credited with the discovery of certain chemical reactions and the synthesis of organic compounds.
Alfred Russel Wallace (1823–1913) was a British naturalist, explorer, geographer, and biologist best known for his contributions to the theory of evolution by natural selection, which he developed independently of Charles Darwin. Wallace's work laid foundational principles in biogeography and ecology, and he is recognized for co-discovering the mechanism of evolution alongside Darwin.
Hugh Huxley is known for his contributions to the field of biology, particularly in cell biology and biophysics. He was a prominent scientist who conducted significant research on muscle contraction and the structure of biological tissues. One of his influential works involved the study of the molecular structure of actin and myosin, which are essential proteins in muscle function. Huxley is also noted for his role in developing the sliding filament theory of muscle contraction, which explains how muscles contract at a molecular level.
John Dollond (1706–1761) was an English optician and inventor renowned for his work in the field of optics, particularly for his advancements in the design and manufacture of telescopes. He is best known for developing the achromatic lens, which significantly reduced the chromatic aberration that plagued telescopes of his time. The achromatic lens combines two or more different types of glass to correct for color distortion, allowing for clearer and more accurate images.
Fine-grained reduction is a concept often used in the context of computer science and programming, particularly in areas like optimization, compiler design, and formal verification. It generally refers to a method of reducing problems or computational tasks to simpler or smaller subproblems in a detailed and precise manner. ### Key Aspects of Fine-Grained Reduction: 1. **Detailed Transformation**: Fine-grained reductions break down a complex problem into simpler components with a focus on particulars.
A General Regression Neural Network (GRNN) is a type of artificial neural network that is specifically designed for regression tasks, providing a way to model and predict continuous outcomes. It is a type of kernel-based network that uses a form of radial basis function. ### Key Characteristics of GRNN: 1. **Structure**: GRNN is typically structured with four layers: - **Input Layer**: Receives the input features.
The Heawood graph is a specific type of graph in graph theory that serves as an important example in various areas, including topology and combinatorics. It is named after the mathematician Percy John Heawood, who studied it in the context of map coloring problems. Here are some key features of the Heawood graph: 1. **Structure**: The Heawood graph is a bipartite graph with 14 vertices and 21 edges.
A **circulant graph** is a specific type of graph that generalizes the concept of cyclic graphs. It is defined using a description based on its vertex set and a set of connections (edges) determined by a set of step sizes.
A Meringer graph is a specific type of mathematical graph that is known for its unique properties related to vertex connectivity. The Meringer graphs are typically constructed using certain combinatorial techniques and can serve as examples in graph theory studies. One of the notable features of Meringer graphs is that they can be used to demonstrate various aspects of connectivity, cycles, and other graph properties.
The "Cancionero de Medinaceli" is a significant collection of Spanish poetry and songs from the late 15th century. It is named after the town of Medinaceli in the province of Soria, Spain. This anthology contains a variety of texts that reflect the rich cultural and musical traditions of the time, showcasing works from various poets and composers.
Representation theory of Lie groups is a branch of mathematics that studies how Lie groups can be represented as groups of transformations on vector spaces. More formally, a representation of a Lie group \( G \) is a homomorphism from \( G \) to the general linear group GL(V) of invertible linear transformations on a vector space \( V \). This allows one to study properties of the group \( G \) through linear algebra and the geometry of vector spaces.
Orbital resonance occurs when two orbiting bodies exert regular, periodic gravitational influence on each other due to their orbital frequencies being related by a ratio of small integers. This situation can lead to significant effects on their orbits, including stabilization or destabilization, changes in orbital shape, and alterations in orbital inclination. In a simple example of orbital resonance, if one object completes two orbits in the same time that another object completes one orbit, they are said to be in a 2:1 resonance.
The Linked Data Platform (LDP) is a set of specifications and guidelines developed by the World Wide Web Consortium (W3C) aimed at enabling the use of Linked Data principles in building web-based applications. The core goal of LDP is to facilitate the management and interaction with linked data in a way that is consistent, robust, and interoperable across different systems.
Confluence, in the context of abstract rewriting systems, refers to a property of rewriting systems (such as term rewriting systems, lambda calculus, and various forms of programming languages) that guarantees the uniqueness of results. More specifically, a rewriting system is said to be confluent if, whenever there are two different ways to rewrite a term to produce two results, there is a way to further rewrite those results to a common successor.
The number 110 is a natural number that follows 109 and precedes 111. It can be expressed in various ways: 1. **Mathematically**: - It is an even number. - It is the sum of the prime numbers 53 and 57. - In Roman numerals, it is represented as CX. 2. **In Different Bases**: - In binary, 110 is written as 1101110.
Protrepsis and paraenesis are terms that originate from ancient Greek philosophy, particularly associated with moral and ethical exhortation. 1. **Protrepsis**: This word can be translated as "encouragement" or "exhortation." In a philosophical context, protrepsis refers to the practice of urging people to adopt a certain way of life or to embrace philosophical wisdom.
Symploce is a rhetorical device that combines two figures: anaphora and epistrophe. It involves the repetition of a word or phrase at the beginning of successive clauses (anaphora) and the repetition of a word or phrase at the end of successive clauses (epistrophe). This technique emphasizes a particular idea or theme by creating a rhythmic and memorable effect in the text or speech.
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 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.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. - 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