The Kermack–McKendrick theory, developed by the British mathematicians William Ogilvy Kermack and Anderson G. McKendrick in the 1920s, is a foundational model in the field of epidemiology. It is primarily focused on the mathematical modeling of infectious diseases and describes how infections spread through a population. The core of the theory involves constructing a set of differential equations that describe the dynamics of an infectious disease in a population over time.
"Annals of Functional Analysis" is a scientific journal that publishes research articles in the field of functional analysis and its applications. Functional analysis is a branch of mathematical analysis that deals with function spaces and operators, and it has significant applications in various areas of mathematics, physics, engineering, and other disciplines. The journal typically includes original research papers, reviews, and sometimes special issues or thematic collections that focus on specific topics within functional analysis.
The Asia-Pacific Journal of Operational Research (APJOR) is a scholarly journal that focuses on the field of operational research and its applications. Published periodically, APJOR features research articles, case studies, and surveys that contribute to the advancement of operational research methodologies, models, and practices within the Asia-Pacific region and beyond. The journal typically includes topics such as optimization, decision analysis, simulation, supply chain management, logistics, and other areas that are relevant to operational research.
The Bulletin of the Brazilian Mathematical Society (Boletim da Sociedade Brasileira de Matemática, or BSBM) is a scientific journal that publishes research articles, surveys, and other contributions related to various fields of mathematics. It serves as a platform for the dissemination of mathematical knowledge and is associated with the Brazilian Mathematical Society (SBM). The bulletin typically features original research papers, expository articles designed to make complex topics more accessible, and announcements related to mathematical events and activities in Brazil and beyond.
"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.
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.
"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.
"Mathematical Notes" can refer to various types of documents or publications that capture mathematical concepts, findings, or educational materials. Specifically, it might include: 1. **Lecture Notes**: Summaries or detailed accounts of mathematical lectures, typically used by students to review concepts discussed in class. 2. **Research Notes**: Brief reports on mathematical research findings, often sharing insights, proofs, or novel approaches. These can be informal and may not undergo formal peer review.
The Mathematical Proceedings of the Cambridge Philosophical Society is a scientific journal that focuses on publishing research articles in the field of mathematics. It is associated with the Cambridge Philosophical Society, which is one of the oldest learned societies in the United Kingdom. The journal features original research contributions, as well as survey articles, and often includes work that may be of broad interest within various areas of mathematics.
The "Proceedings of A. Razmadze Mathematical Institute" is a scholarly journal that publishes research papers primarily in the field of mathematics. It is associated with the A. Razmadze Mathematical Institute, which is based in Georgia (the country), and is named after a prominent Georgian mathematician, Academician Andro Razmadze. The journal typically includes contributions from researchers on various mathematical topics, ranging from pure mathematics to applied mathematics.
Networks and Spatial Economics is a subfield of economics that examines the implications of spatial location and network structures on economic behavior and outcomes. It integrates concepts from various disciplines, including geography, urban planning, and network theory, to analyze how geographical locations and relationships influence economic activities. ### Key Concepts: 1. **Spatial Economics**: - Focuses on how economic activities are distributed across space. - Analyzes the impact of distance, proximity, and location on trade, production, and consumption.
"Reports on Mathematical Physics" is a scientific journal that focuses on the field of mathematical physics. It publishes peer-reviewed articles that deal with the interplay between mathematics and physics, including areas such as theoretical physics, mathematical modeling, and the application of mathematical techniques to solve physical problems. The journal serves as a platform for researchers to share their findings, discuss new developments, and present innovative mathematical methods that can be applied to various branches of physics.
Research in number theory is a branch of mathematical research that focuses on the study of integers and their properties. This area of mathematics explores a variety of concepts involving whole numbers, including their relationships, structures, and behaviors. Number theory has a long history and remains an active field with numerous open questions and ongoing investigations. Here are some key components of research in this area: 1. **Prime Numbers**: Understanding the distribution of prime numbers, which are the building blocks of integers.
Scripta Mathematica is a scientific journal that focuses on mathematics, particularly in areas related to computational mathematics, numerical analysis, and related fields. It was established to provide a platform for the publication of original research and articles that contribute to the development of mathematical thought and practice. The journal aims to bridge the gap between pure and applied mathematics, encouraging contributions that highlight the interplay between theoretical developments and practical applications.
The New York Journal of Mathematics (NYJM) is a peer-reviewed mathematics journal that publishes original research articles in various areas of mathematics. It was established in 1994 and aims to provide a platform for the dissemination of mathematical research and foster communication within the mathematical community. The journal includes papers on a wide range of topics, including but not limited to pure and applied mathematics.

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