The term "Mathematical Association" could refer to various organizations or entities focused on mathematics, education, or research. Here are a few prominent examples: 1. **Mathematical Association of America (MAA)**: Founded in 1915, the MAA is one of the largest associations dedicated to the promotion of mathematics education and research at all levels. It provides resources for teachers and students, organizes conferences, and publishes mathematical journals.
The title of Regius Professor of Mathematics is a prestigious academic position in the field of mathematics, typically associated with a specific university, most notably the University of Glasgow in Scotland. The term "Regius" means "royal" in Latin, and such professorships are often established by a monarch. Regius Professorships were historically created by royal decree and are meant to recognize the importance of specific academic disciplines.
The Sadleirian Professorship of Pure Mathematics is an academic position at the University of Cambridge. It is named after Sir John Sadleir, a notable figure in the field of mathematics. The professorship is dedicated to the promotion of research and teaching in pure mathematics, which encompasses various areas such as algebra, analysis, geometry, and topology, among others.
Bootstrap is an educational curriculum designed to teach computer science concepts through programming, specifically using the context of game development and interactive applications. It aims to empower students, particularly those from underrepresented backgrounds in tech, by providing them with tools to learn programming and computational thinking in an engaging way. The Bootstrap curriculum focuses on several key goals: 1. **Mathematics and Computer Science Integration**: It emphasizes the connection between programming, mathematics, and problem-solving.
Colloquium Lectures, organized by the American Mathematical Society (AMS), are a series of talks designed to present significant mathematical research topics in an accessible manner to a broad audience of mathematicians. These lectures typically feature renowned mathematicians who discuss their work, highlighting important ideas and developments in various fields of mathematics. The goal of these lectures is to promote understanding and appreciation of mathematics among researchers and the mathematical community at large.
"The Prime Radicals" is a Canadian children’s television series that focuses on mathematics, particularly number theory and algebra, using engaging narratives and characters. The show features a set of animated characters who introduce mathematical concepts through stories and adventures, aiming to make math more accessible and enjoyable for young audiences. The series often incorporates themes of teamwork, problem-solving, and creativity, encouraging children to explore mathematical concepts in a fun and interactive way.
"Giornale di Matematiche" is an Italian mathematical journal that publishes research papers, articles, and surveys in various fields of mathematics. It serves as a platform for researchers to share their findings and contribute to the mathematical community. The editorial board typically consists of mathematicians and scholars who are experts in different areas of mathematics.
The Thomas A. Scott Professorship of Mathematics is a distinguished faculty position that is typically associated with a university in recognition of significant contributions to the field of mathematics. The professorship is named after Thomas A. Scott, who may have been a notable figure in mathematics or a supporter of mathematical education. Positions like this are often designed to attract leading scholars in the field to contribute to research, teaching, and academic leadership.
"Heraclitus and Democritus" is a famous painting by the Baroque artist Peter Paul Rubens, created in 1618-1620. The work features portraits of the two ancient Greek philosophers, Heraclitus and Democritus, each representing contrasting philosophical perspectives. - **Heraclitus** (c. 535 – c.
The Journal for Research in Mathematics Education (JRME) is a respected academic journal that focuses on the field of mathematics education. It publishes peer-reviewed research articles that contribute to the understanding of teaching and learning mathematics at various educational levels. The journal addresses a wide range of topics, including but not limited to instructional practices, curriculum development, assessment, and the cognitive and social aspects of learning mathematics.
In computer science, a heuristic is a practical approach to problem solving, learning, or decision-making that employs a method not guaranteed to be optimal but sufficient for reaching an immediate, short-term goal. Heuristics are often used in algorithms, particularly in fields like artificial intelligence, optimization, and search problems, to reduce the complexity of finding a solution.
In topology and related fields, an Esakia space is a type of topological space that is associated with the study of certain classes of lattices. Specifically, Esakia spaces arise in the context of modal logic and can be understood in terms of their strong relation to Kripke frames. An Esakia space is characterized by having certain order-theoretic properties that are related to the accessibility relations in modal logic semantics.
Polyadic space is a concept in the field of mathematical logic and set theory, specifically relating to the study of algebras and their generalizations. It generally refers to structures that generalize the idea of a relational or functional space by considering relations or functions that can take multiple arguments (or "ary" inputs), hence the prefix "polyad-.
In topology, "open" and "closed" maps are concepts that describe certain properties of functions between topological spaces. Here's a brief explanation of each term: ### Open Maps A function \( f: X \rightarrow Y \) between two topological spaces is called an **open map** if it takes open sets in \( X \) to open sets in \( Y \).
The Katětov–Tong insertion theorem is a result in the field of topology, particularly in the area of set-theoretic topology. It deals with the properties of certain types of topological spaces, specifically separable metric spaces. The theorem is named after mathematicians František Katětov and David Tong.
A **sequential space** (or **sequential space**) is a type of topological space where a set is closed if it contains all the limit points of all convergent sequences contained within it.
In topology, the Tychonoff cube (or Tychonoff product) refers to the product of a family of topological spaces, typically equipped with the product topology. Named after the Russian mathematician Andrey Tychonoff, it is a fundamental construction in general topology.
Zariski topology is a type of topology that is used primarily in algebraic geometry and algebraic varieties. It is defined on the set of points that correspond to solutions of polynomial equations. ### Key Aspects of Zariski Topology: 1. **Basic Idea**: In Zariski topology, the closed sets are defined by polynomials.
Geodesists are professionals who specialize in geodesy, which is the science of measuring and understanding the Earth's geometric shape, orientation in space, gravitational field, and how these properties change over time. Geodesists use various techniques and technologies, including satellite positioning systems (such as GPS), traditional surveying methods, and remote sensing, to acquire precise measurements related to the Earth's surface and its dynamics.
Geodetic datums are reference frameworks used to measure the geographic coordinates (latitude, longitude, and elevation) of points on the Earth's surface. They provide a standard way to relate the positions of features on the Earth to a specific coordinate system and enable accurate mapping, navigation, and geographic information systems (GIS). ### Key Components of Geodetic Datums: 1. **Reference Ellipsoid**: This is a mathematically defined surface that approximates the shape of the Earth.

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