Math-Tinik is a popular educational game designed to make learning math fun and engaging for students. The game typically involves various math-related challenges and activities that encourage players to solve problems, think critically, and improve their mathematical skills. It is often used in classrooms or educational settings to enhance students' understanding of mathematical concepts while also fostering a sense of competition and teamwork.
**Megamaths** typically refers to a curriculum or educational approach that emphasizes fun and engaging ways to teach mathematical concepts, often aimed at younger students. It might include a variety of activities that make learning math more interactive and enjoyable, incorporating games, puzzles, and creative problem-solving techniques. One notable reference is the television program "Megamaths," which aired in the UK in the late 1990s.
Göran Dillner is a Swedish scientist known for his work in the field of epidemiology and public health. He has been involved in research focusing on cancer and the links between lifestyle factors and health outcomes. Dillner has contributed to numerous studies and publications, particularly related to cervical cancer screening and HPV (human papillomavirus).
EqWorld is an online resource focused on providing information and tools related to differential equations. It serves as a comprehensive repository for mathematical equations, solutions, and various techniques used in the study of ordinary differential equations (ODEs) and partial differential equations (PDEs). The website includes a range of resources such as: - Detailed explanations of different types of differential equations. - Solution methods for ODEs and PDEs. - Examples and solved problems. - Educational articles and research papers.
"The Crest of the Peacock: Non-European Roots of Mathematics" is a book written by Indian mathematician and historian of mathematics, Victor J. Katz. Published in 2007, this work explores the contributions of non-European cultures to the development of mathematical concepts throughout history. Katz argues against the Eurocentric narrative that often dominates the history of mathematics, highlighting significant advancements made by various civilizations, including those in India, the Middle East, China, and Africa.
Domain theory is a mathematical framework used primarily in the field of computer science to study the semantics of programming languages, particularly those that include features like state and recursion. It provides a way to model and reason about the behavior of computational processes in a rigorous manner. At the core of domain theory is the concept of a domain, which is a partially ordered set (poset) that represents the possible values of a computation and the way these values can be approximated.
George Gamow (1904-1968) was a prominent theoretical physicist and cosmologist known for his work in several key areas of physics. Born in Russia, he later emigrated to the United States, where he made significant contributions to the field of nuclear physics and cosmology. One of Gamow's most notable contributions was in the development of the Big Bang theory of cosmology.
The Core-Plus Mathematics Project (CPMP) is an innovative mathematics curriculum designed for high school students, particularly aimed at fostering deep conceptual understanding of mathematical concepts and skills through exploration and problem-solving. CPMP emphasizes a problem-centered curriculum that integrates various strands of mathematics, including algebra, geometry, statistics, and discrete mathematics.
Paul J. Nahin is an American electrical engineer and author known primarily for his work in the fields of electrical engineering and mathematics, particularly in popularizing mathematical concepts through his writing. He has published several books that explore mathematics, particularly in relation to engineering and physics. Some of his notable works include "An Imaginary Tale: The Story of √-1" and "Dr. Euler's Fabulous Formula: Curing the Musicians’ Grave Disease.
"Difference Equations: From Rabbits to Chaos" is a book by Robert L. Devaney that explores the mathematical concept of difference equations and their applications in various fields, particularly in understanding dynamical systems. The book integrates theory with practical applications, using the famous example of the Fibonacci sequence related to rabbit populations as a starting point for discussing more complex behaviors in systems defined by difference equations. Difference equations are equations that describe the relationship between different discrete values in a sequence.
Sal Khan is an educator and entrepreneur best known as the founder of Khan Academy, a non-profit educational organization that provides free online educational resources and courses for students, educators, and learners globally. Khan Academy offers a wide range of subjects, including mathematics, science, economics, history, and computer programming, with instructional videos, practice exercises, and a personalized learning dashboard.
"Fat Chance: Probability from 0 to 1" is a book written by the mathematician, statistician, and author, Dr. Michael A. "Mike" :,’s book aims to provide readers with an engaging introduction to the concepts of probability and statistics, emphasizing real-world applications and intuitive understanding. The book uses a range of examples, anecdotes, and practical problems to illustrate probability concepts.
Geometric Algebra is a mathematical framework that extends traditional algebra and geometry by providing a unified language for various mathematical concepts, particularly in physics and engineering. The book titled "Geometric Algebra" by Leo Dorst, Daniel Fontijne, and Steven V. B. S. Mann is a comprehensive guide that explores this framework.
Roger Lee Berger is a notable figure in the field of mathematics, particularly known for his contributions to combinatorial design theory. He is an author and researcher with a focus on various areas within mathematics.
John Mighton is a Canadian mathematician, author, and educator known for his work in mathematics education and for founding the organization JUMP (Jump Math), which aims to help students improve their math skills. Mighton has developed a teaching program that focuses on building confidence and understanding in mathematics among students, particularly those who struggle with the subject. In addition to his contributions to education, he is also a playwright and has written several plays that have received critical acclaim.
A design matrix is a mathematical representation used in statistical modeling and machine learning that organizes the input data for analysis. It is particularly common in regression analysis, including linear regression, but can also be used in other contexts. ### Structure of a Design Matrix 1. **Rows**: Each row of the design matrix represents an individual observation or data point in the dataset. 2. **Columns**: Each column corresponds to a specific predictor variable (also known as independent variable, feature, or explanatory variable).
A matrix is said to be diagonalizable if it can be expressed in the form: \[ A = PDP^{-1} \] where: - \( A \) is the original square matrix, - \( D \) is a diagonal matrix (a matrix in which all the off-diagonal elements are zero), - \( P \) is an invertible matrix whose columns are the eigenvectors of \( A \), - \( P^{-1} \) is the inverse of the matrix \( P \
Gamma matrices are a set of matrices used in quantum field theory and in the context of Dirac's formulation of quantum mechanics, particularly in the mathematical description of fermions such as electrons. They play a key role in the Dirac equation, which describes the behavior of relativistic spin-1/2 particles. ### Properties of Gamma Matrices 1.
Sparse matrices are matrices that contain a significant number of zero elements. In contrast to dense matrices, where most of the elements are non-zero, sparse matrices are characterized by having a high proportion of zero entries. This sparsity can arise in many applications, particularly in scientific computing, graph theory, optimization problems, and machine learning. ### Characteristics of Sparse Matrices: 1. **Storage Efficiency**: Because many elements are zero, sparse matrices can be stored more efficiently than dense matrices.

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