"Contrôle Optimisation et Calcul des Variations" (COCV) is a French term that translates to "Control, Optimization, and Calculus of Variations" in English. It refers to a field of study in mathematics that combines three main areas: 1. **Control Theory**: This area focuses on the analysis and design of systems to achieve desired behaviors by manipulating their inputs.
In the context of algebra, the term "communications" can refer to different concepts depending on the specific focus. Generally, it might relate to the way mathematical ideas and concepts are conveyed or expressed through language and notation. Here are a few interpretations: 1. **Communication of Mathematical Ideas**: This involves effectively conveying algebraic concepts through written or spoken language. It includes explaining algebraic operations, the properties of numbers, and the reasoning behind solving equations or inequalities.
"Communications in Contemporary Mathematics" is a scholarly journal dedicated to the dissemination of research in various fields of mathematics. It typically features articles that present original findings, reviews, and discussions on contemporary topics within mathematics and its applications. The journal aims to foster communication among mathematicians by providing a platform for sharing innovative ideas, results, and techniques. It often covers a wide range of areas, including pure mathematics, applied mathematics, and interdisciplinary research that involves mathematical methods.
Forum Geometricorum is a scholarly journal focused on the field of mathematics, specifically geometry. It serves as a platform for researchers to publish papers that cover various aspects of geometry, including both classical and contemporary topics. The journal is known for its emphasis on high-quality contributions that may include original research articles, survey papers, and expository articles that clarify complex geometric concepts.
"Elemente der Mathematik" is a significant work by the German mathematician Richard Courant and the mathematician Herbert Robbins. Originally published in 1938, the book is recognized for its comprehensive introduction to various fields of mathematics, presented in a way that emphasizes the underlying principles and connections among different mathematical concepts. The title translates to "Elements of Mathematics," and the work covers topics such as number theory, algebra, geometry, and calculus, among others.
The European Journal of Operational Research (EJOR) is a scholarly journal that publishes research articles related to the field of operational research (OR). Operational research is a discipline that uses advanced analytical methods to help make better decisions. The journal covers a wide range of topics, including but not limited to optimization, decision analysis, simulation, logistics, and supply chain management.
"Fractals" is a peer-reviewed scientific journal that focuses on the study of fractals and their applications in various fields. Established in 1993, it publishes research articles, reviews, and letters concerning the mathematical and physical aspects of fractals, as well as their applications in areas such as physics, biology, engineering, and finance.
The International Journal of Computer Mathematics is a scholarly publication that focuses on research in the areas of computer science and mathematics. It publishes articles that cover a range of topics including numerical analysis, combinatorics, algorithm design, applied mathematics, and computational theories, among others. The journal aims to provide a platform for researchers to share their findings, advancements, and discussions relevant to the intersection of these two fields. Typically, articles submitted to the journal undergo a peer-review process to ensure quality and scholarly rigor.
The term "Artificial Life" (often abbreviated as ALife) refers to a field of study and research that examines systems related to life, which may or may not be biological in nature. The Artificial Life framework can be understood in multiple contexts: 1. **Computational Framework**: This encompasses computer simulations and models that are designed to mimic the processes of life, evolution, and adaptation.
"Indagationes Mathematicae" is a mathematical journal that publishes research articles in various areas of mathematics. It is known for its focus on original research, reviews, and surveys that contribute to the development of mathematical knowledge. The journal is typically peer-reviewed, ensuring the quality and rigor of the published work. It serves as a platform for mathematicians to share their findings and collaborate across different subfields.
The International Journal of Approximate Reasoning is a scholarly journal that focuses on research related to approximate reasoning, which is a branch of artificial intelligence and computational logic. Approximate reasoning deals with reasoning that is not exact, allowing for uncertainty, imprecision, and vagueness, which are often encountered in real-world scenarios. This can include topics like fuzzy logic, probabilistic reasoning, uncertainty modeling, and related methodologies.
A Toepler pump is a type of mechanical device used to create a vacuum and transfer liquids. It operates by utilizing a piston mechanism to displace a liquid from one chamber to another, creating a low-pressure area that draws in the liquid. This design is particularly effective in applications requiring precise control of fluid movement, such as in laboratories or certain industrial processes. The Toepler pump is named after the German engineer Heinrich Toepler, who contributed to its development.
The International Journal of Geometry is a scholarly publication that focuses on various aspects of geometry, including both theoretical and applied research. It typically aims to present original research articles, review papers, and other contributions that advance the understanding of geometric concepts and their applications. The journal may cover a wide range of topics within geometry, such as differential geometry, algebraic geometry, hyperbolic geometry, topology, and other related fields.
"Mathematics and Mechanics of Complex Systems" typically refers to the interdisciplinary study that combines mathematical modeling and mechanics to analyze and understand complex systems. Here's a brief overview of the concepts involved: ### Mathematics Mathematics provides the foundational tools and theories needed to describe and analyze complex systems. This includes: - **Differential Equations**: Used to model dynamic systems and processes. - **Linear Algebra**: Essential for understanding multi-variable systems and transformations.
The **Journal of Mathematical Physics** is a peer-reviewed academic journal that publishes research articles and reviews in the field of mathematical physics. Established in 1960, it is known for presenting theoretical and mathematical developments in physics, covering a wide range of topics including, but not limited to, quantum mechanics, statistical mechanics, field theory, and the mathematical foundations of various physical theories.
The Journal of Mathematics and the Arts is an interdisciplinary academic journal that explores the connections between mathematics and the arts, covering a wide range of topics that merge these two fields. It publishes research articles, reviews, and discussions that delve into how mathematical concepts can be expressed through artistic practices and how art can inspire mathematical inquiry.
Statistics surveys are systematic methods of collecting, analyzing, and interpreting data about a particular population or phenomenon. These surveys aim to gather quantitative or qualitative information to understand trends, behaviors, opinions, or characteristics of the group being studied. ### Key Components of Statistics Surveys: 1. **Population and Sample**: The population is the entire group of interest, while a sample is a subset of that population selected for the survey. Samples are often used to draw conclusions about the larger population.
Noctilucent clouds are a type of cloud that forms in the upper atmosphere, specifically in the mesosphere at altitudes of about 76 to 85 kilometers (47 to 53 miles). They are also known as night-shining clouds because they are most visible during twilight or at night when the sun is below the horizon but still illuminating the clouds from below.

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