A **finitary relation** in mathematics, particularly in the context of formal logic, set theory, and database theory, refers to a relationship that involves a finite number of elements. More precisely, a relation can be thought of as a subset of a Cartesian product of sets, and when we specify that a relation is finitary, we mean that it is defined for a finite number of tuples.
In mathematics, a property is a characteristic or attribute that can be assigned to a mathematical object, such as a number, set, function, algebraic structure, or geometric shape. Properties help to describe the behavior and features of these objects and are often used in proofs and problem-solving. Here are a few examples of different types of properties in various branches of mathematics: 1. **Number Theory**: Properties of numbers, such as whether they are prime, even, or odd.
In mathematics, a **relation** is a way to describe a relationship between sets. Formally, a relation can be defined as a subset of the Cartesian product of two sets. If we have two sets, \( A \) and \( B \), the Cartesian product \( A \times B \) consists of all possible ordered pairs \( (a, b) \) where \( a \) is in set \( A \) and \( b \) is in set \( B \).
In mathematics, "representation" generally refers to a way to express mathematical objects in a particular form or through certain structures. The term can be used in various specific contexts, including but not limited to: 1. **Linear Representation**: In linear algebra and representation theory, a representation of a group is a way of expressing the elements of a group as linear transformations (i.e., matrices) of a vector space. This allows one to study group properties using linear algebra.
The Austrian Mathematical Society (Österreichische Mathematische Gesellschaft, or OeMG) is a professional organization that promotes the advancement and dissemination of mathematical research and education in Austria. Founded in 1891, the society serves as a platform for mathematicians to collaborate, share knowledge, and enhance the visibility of mathematics within academic and educational communities. The society organizes conferences, workshops, and seminars, facilitates the publication of mathematical research, and supports mathematical education at various levels.
Foundations of Computational Mathematics (FoCM) is an interdisciplinary field that explores the theoretical aspects of computation, numerical analysis, and mathematical modeling. It aims to provide a solid mathematical framework for understanding and solving problems in computational sciences. Key areas of focus in FoCM include: 1. **Numerical Analysis**: Studying algorithms for the numerical solution of mathematical problems, including error analysis, convergence, and stability of algorithms.
The Gabon Mathematical Society, known in French as "Société Gabonaise de Mathématiques," is an organization that promotes the study and advancement of mathematics in Gabon. The society aims to foster mathematical research, education, and collaboration among mathematicians, educators, and students within the country. It may organize conferences, workshops, seminars, and various educational activities to enhance the understanding and appreciation of mathematics.
As of my last knowledge update in October 2021, there may not be a widely recognized organization or concept called the "Applied Probability Trust." It's possible that it could refer to a specific organization, initiative, or concept in the field of probability and statistics that has emerged after that date, or it could be a term used in a specific context.
The Association of Christians in the Mathematical Sciences (ACMS) is an organization that seeks to foster the interaction between faith and mathematics among Christians in the mathematical sciences community. This group aims to provide a forum for the exchange of ideas, support for individuals in their academic and spiritual journeys, and encouragement in integrating faith with professional practice in mathematics and related fields.
The Australian Mathematical Society (AustMS) is a professional organization that supports the advancement, research, and dissemination of mathematics in Australia. Established in 1956, the society aims to promote mathematics within the community, promote mathematics education, and facilitate collaboration among mathematicians.
The Conference Board of the Mathematical Sciences (CBMS) is an organization in the United States that aims to promote research and collaboration in the mathematical sciences. It serves as a forum for professional organizations, promoting partnerships and discussions among various stakeholders in the field of mathematics, including academic institutions, government agencies, and industry. The CBMS is particularly known for its efforts in coordinating and organizing conferences, producing reports on mathematics education, and advocating for the importance of mathematical sciences in education and research.
The European Society for Fuzzy Logic and Technology (EUSFLAT) is an organization dedicated to promoting research, development, and education in the field of fuzzy logic and its applications. Established to foster collaboration among researchers, practitioners, and educators, EUSFLAT serves as a platform for sharing knowledge, conducting conferences, and publishing research findings related to fuzzy logic, fuzzy systems, and related technologies.
The Latvian Mathematical Society (Latvijas Matemātikas biedrība, LMB) is a professional organization dedicated to promoting the study and advancement of mathematics in Latvia. Founded in 1990, the society serves as a platform for mathematicians, educators, and students to collaborate, share research, and engage in mathematical discourse. The activities of the Latvian Mathematical Society may include organizing conferences, seminars, and workshops, publishing mathematical research and educational materials, and promoting mathematics education at various levels.
The Luxembourg Mathematical Society, known as "Société Mathématique du Luxembourg" (SML), is a professional organization dedicated to promoting mathematics in Luxembourg and supporting mathematicians and researchers in the country. Established in 1990, the society aims to foster cooperation among mathematicians, facilitate communication, and promote mathematical research and education. The society typically organizes various activities, including conferences, seminars, and workshops, to encourage collaboration and knowledge sharing.
The Hamburg Mathematical Society (Hamburger Mathematikgesellschaft, HMG) is a professional organization dedicated to the promotion and advancement of mathematics in Hamburg, Germany. Founded in 1893, the society aims to foster collaboration among mathematicians, support mathematical research and education, and facilitate communication among its members. The society organizes various activities such as seminars, lectures, and conferences, providing a platform for mathematicians to discuss their work and share knowledge.
The Icelandic Mathematical Society (Íslenska stærðfræðifélagið) is an organization dedicated to promoting the field of mathematics in Iceland. It serves as a platform for mathematicians, researchers, and educators to collaborate, share knowledge, and advance mathematical research and education in the country. The society typically organizes seminars, conferences, and workshops, and it may also publish research and educational materials related to mathematics.
International Association for Mathematics and Computers in Simulation by
Wikipedia Bot 0 1970-01-01

The International Association for Mathematics and Computers in Simulation (IMACS) is a professional organization that promotes the use of mathematics and computational methods in simulation across various fields. Founded in the 1960s, IMACS provides a platform for researchers, practitioners, and educators to share knowledge and advancements in the application of mathematical and computational techniques in simulation. IMACS organizes conferences, workshops, and publishes proceedings and journals that focus on interdisciplinary research and applications involving simulations.
The International Society for Mathematical Sciences (ISMS) is an organization dedicated to promoting research and education in various fields of mathematics and its applications. The society typically aims to foster collaboration among mathematicians, researchers, and educators from around the world. This includes organizing conferences, publishing journals, and facilitating communication and cooperation across international mathematical communities.
The International Society for Stereology & Image Analysis (ISSAIA) is a professional organization that focuses on advancing the fields of stereology and image analysis. Stereology is a set of statistical methods used for the quantitative analysis of three-dimensional structures based on two-dimensional cross-sectional data, often applied in fields like biology, medicine, and materials science. Image analysis involves the processing and interpretation of images, often leveraging computer algorithms to extract meaningful information.
Pinned article: ourbigbook/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