Imre Leader is a prominent mathematician known for his contributions to various fields, including combinatorics and discrete mathematics. He has made significant advancements in areas such as extremal combinatorics, random graphs, and graph theory. Leader’s work often emphasizes the interplay between combinatorial structures and probabilistic methods, and he has authored or co-authored numerous research papers on these topics.
Jim Geelen is a prominent Australian mathematician known for his contributions to graph theory and matroid theory. His work often involves the study of combinatorial structures and has implications in various areas of mathematics. Geelen has collaborated with other mathematicians and has published numerous papers in reputable journals.
Karim Adiprasito is a mathematician known for his contributions in the fields of combinatorics and discrete geometry. He has made significant advancements in various areas, particularly in the study of the geometric properties of objects and their implications in combinatorial settings. Adiprasito is also known for his work on the theory of matroids and other related mathematical structures. His research often involves applying techniques from algebraic topology and other branches of mathematics to solve problems in combinatorics.
Stanisław Radziszowski is a Polish mathematician known for his contributions to various areas of mathematics, particularly in combinatorics and graph theory. He has worked on topics such as extremal graph theory, tournament theory, and combinatorial designs. His research has been influential in the development of mathematical concepts associated with these fields.
A train track map, also known as a railway map, is a graphical representation of a railway network. It typically shows the layout of tracks, stations, and other key features of the railway system. These maps can vary in detail and scale, ranging from highly detailed local maps that highlight specific lines and stations to broader regional or national maps that provide an overview of the entire railway network.
Primary decomposition is a concept in the field of algebra, particularly in commutative algebra and algebraic geometry, that deals with the structure of ideals in a ring, specifically Noetherian rings. The primary decomposition theorem provides a way to break down an ideal into a union of 'primary' ideals.
The term "Test Ideal" generally refers to a concept in functional programming and software testing that emphasizes the importance of testing code under ideal conditions. It is often associated with the principles of clean code, maintainability, and test-driven development (TDD).
Munther A. Dahleh is a prominent figure in the field of electrical engineering, known particularly for his work in systems and control, machine learning, and related areas. He is a professor at the Massachusetts Institute of Technology (MIT), where he has held various positions and contributed significantly to research and education in engineering and applied mathematics. Dahleh has authored numerous scholarly articles and has been involved in a range of research projects, focusing on topics such as network systems, data-driven control, and optimization.
A Conditional Probability Table (CPT) is a mathematical representation used in probability theory and statistics to describe the conditional probabilities of a set of random variables. It explicitly shows the probability of a certain variable given the values of other variables. CPTs are commonly used in various fields, including statistics, machine learning, and belief networks. ### Key Characteristics of a Conditional Probability Table: 1. **Structure**: A CPT typically consists of rows and columns.
"Built to Rule" is a line of construction sets developed by Hasbro, often associated with their popular toy lines, particularly those related to the Transformers franchise. Launched in the early 2000s, the sets allow fans to build various vehicles and structures that are then used in conjunction with Transformers action figures. The sets typically feature a combination of building blocks and mechanical parts, allowing users to create custom designs while incorporating Transformers characters and themes.
Construx typically refers to a brand of construction toys that allow users to build various structures and models using interlocking plastic pieces. These toys are designed to encourage creativity, engineering skills, and problem-solving abilities in children and even adults. Construx sets often include a variety of types of connectors and beams, enabling builders to create complex designs while helping to develop spatial awareness and fine motor skills. There are also many themed sets available that can be focused on architecture, vehicles, or other specific constructs.
"Lego clone" refers to imitation building block toys that replicate the design, functionality, and aesthetics of Lego bricks but are produced by different manufacturers. These clones typically are compatible with Lego bricks and can be used interchangeably in most cases. They often aim to provide similar play experiences at a lower price point, appealing to consumers who are looking for more budget-friendly options.
Eigenstrain is a concept in the field of solid mechanics and material science that refers to a type of internal strain in a material that results from microstructural changes, such as phase transformations, dislocation movement, or other alterations in the material's microstructure, rather than from external loads or boundary conditions. Unlike ordinary strains that occur due to external forces applied to a material, eigenstrains are 'internal' and are typically associated with specific regions or features within the material.
Recursive economics is a concept that generally refers to economic models or analyses that utilize recursive methods to understand and evaluate economic behaviors and systems over time. The term "recursive" itself indicates that the process involves referencing or repeating a certain operation or set of operations. In the context of economics, recursive methods can often be found in: 1. **Dynamic Programming**: This approach is used to solve optimization problems where decisions are made at various time periods, and the outcomes depend on previous decisions.
Iterative Learning Control (ILC) is a control strategy designed to improve the performance of systems that operate in a repetitive manner, by learning from previous iterations or cycles of operation. This approach is particularly useful in applications where the same or similar tasks are performed repeatedly, such as robotic manipulation, manufacturing processes, and various kinds of automated systems. ### Key Features of ILC 1.
Standard Telephones and Cables (STC) is a company that was historically involved in the manufacturing of telecommunications equipment and related technologies. Founded in the early 20th century, STC became known for its production of telecommunication systems, cables, and devices, contributing to the development of telephone networks and infrastructure. The company played a significant role in the telecom sector, particularly in the UK, supplying equipment for both domestic and international markets.
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 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. - 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





