Pierre Deligne is a Belgian mathematician known for his significant contributions to algebraic geometry, number theory, and related areas. Born on October 3, 1944, in Bravaux, Belgium, he is particularly renowned for his work on the Weil conjectures, a set of conjectures related to the topology of algebraic varieties and their connections to number theory.
Frege's puzzles, named after the philosopher and logician Gottlob Frege, refer to a set of issues in philosophy of language concerning the nature of meaning and reference, particularly in relation to proper names and sentences that express identity. The puzzles explore how sentences involving proper names lead to questions about the difference between meaning (or sense) and reference. One of the most well-known aspects of Frege's puzzles is the example involving identity statements.
The Weighted Average Return on Assets (WARA) is a financial metric that measures the overall return generated by a company's assets, taking into account the proportion of each asset’s contribution to the total asset base. It gives a more nuanced view of how effectively a company is utilizing its assets to generate returns, as compared to simply looking at the return on assets (ROA).
The United Kingdom Rocketry Association (UKRA) is an organization dedicated to the promotion and support of rocketry in the UK. It serves as a central body for rocketry enthusiasts, providing resources, guidelines, and a community for individuals interested in the design, construction, and launching of rockets.
Mathematics in education and industry refers to the application of mathematical concepts, methods, and reasoning in various educational settings and real-world industrial contexts. Here's a breakdown of both aspects: ### Mathematics in Education 1. **Curriculum Development**: Mathematics forms a core component of the educational curriculum at all levels, from elementary school to higher education. It helps students develop critical thinking and problem-solving skills.
The Institute of Mathematics and Statistics (IME) at the University of São Paulo (USP) is a prominent academic institution in Brazil, focusing on research and education in mathematics and statistics. Established in 1970, IME offers undergraduate and graduate programs in these fields, aiming to develop academic excellence and research capabilities. Key features of IME include: 1. **Research**: IME is involved in various mathematical and statistical research areas, collaborating with national and international institutions.
Pre-STEM generally refers to preparatory programs or educational tracks designed to prepare students for studies and careers in Science, Technology, Engineering, and Mathematics (STEM) fields. These programs may encompass a variety of activities, coursework, and experiences aimed at equipping students with foundational skills and knowledge that will be beneficial in pursuing more advanced STEM-related education or careers.
The Faculty of Mathematics at the University of Cambridge is one of the leading departments for mathematical research and education in the world. It encompasses various mathematical disciplines, including pure mathematics, applied mathematics, and statistics, among others. The Faculty is particularly renowned for its strong emphasis on research and has produced numerous influential mathematicians and Nobel laureates throughout its history.
Free-standing Mathematics Qualifications (FSMQ) are qualifications designed to offer students an opportunity to study mathematical concepts that may not be covered in the standard curriculum. These qualifications are especially beneficial for students who want to enhance their mathematical understanding and skills, often alongside other subjects. FSMQs can cover various topics, including: 1. **Mathematical Methods**: This includes algebra, geometry, and trigonometry. 2. **Statistics**: Students learn about data handling, probability, and statistical measures.
Alan B. Tayler is a notable American economist, known for his work in international economics, particularly in the areas of trade, economic growth, and the role of history in economic development. He has contributed significantly to the understanding of global financial crises and the dynamics of international trade and investment.
The University of Liverpool Mathematics School is an educational institution in the UK that provides a specialized curriculum focused on mathematics and its applications. Established in collaboration with the University of Liverpool, the school typically aims to inspire students in the field of mathematics and to encourage a deeper understanding of mathematical concepts. The school often offers an advanced curriculum designed for students with a strong interest in mathematics, providing opportunities for enrichment, research projects, and connections to university-level mathematics.
The Illinois Council of Teachers of Mathematics (ICTM) is a professional organization dedicated to supporting mathematics educators in Illinois. Founded in 1964, ICTM aims to enhance the quality of mathematics teaching and learning in the state through various initiatives. The organization provides resources, professional development opportunities, and a platform for networking among teachers, educators, and mathematics professionals. ICTM is involved in organizing conferences, workshops, and events that focus on best practices in mathematics education, curriculum development, and teaching strategies.
The National Centre for Excellence in the Teaching of Mathematics (NCETM) is an organization based in the United Kingdom that focuses on improving the teaching and learning of mathematics in schools. Established in 2006, the NCETM aims to provide support, resources, and professional development for mathematics teachers at all levels, from primary schools to secondary education.
The National Numeracy Strategy was an initiative launched in England in 1999 aimed at improving the teaching and learning of mathematics in primary schools. The strategy was part of a broader effort to raise standards in education and was developed in response to concerns about students' mathematical skills and competencies. Key components of the National Numeracy Strategy included: 1. **Daily Mathematics Lessons**: The strategy recommended that primary schools implement a daily mathematics lesson to ensure consistent practice and reinforcement of mathematical skills.
The title "Professor of Mathematics (Glasgow)" typically refers to a faculty position in a mathematical department at the University of Glasgow, which is located in Glasgow, Scotland. Professors in this role would engage in both teaching and research in various fields of mathematics and contribute to the academic community through publications, mentorship, and collaboration.
The Savilian Professorship of Geometry is a prestigious academic position at the University of Oxford, established in 1619 by the bequest of Sir Henry Savile, an English scholar and mathematician. The role is primarily focused on the field of geometry, though it may also encompass broader areas of mathematics depending on the current interests of the holder. The professorship has historically been associated with significant contributions to mathematics and has been held by many renowned mathematicians over the years.
The Sixth Term Examination Paper (STEP) is an examination used in the United Kingdom as part of the admissions process for undergraduate mathematics courses at certain universities, most notably the University of Cambridge and the University of Warwick. It is designed to assess the mathematical thinking and problem-solving abilities of students at a high level, typically at the level expected of students preparing for university-level mathematics.
The EDGE Foundation (Education, Development, and Global Engagement) is an organization focused on improving educational outcomes and fostering global engagement through innovative programs and partnerships. Its mission typically involves enhancing learning opportunities, promoting educational equity, and supporting the development of teaching and learning environments that benefit students and educators. The foundation may be involved in a range of activities, including conducting research, developing educational resources, and collaborating with schools, educators, and community organizations to implement effective teaching practices.
The "Annals of Applied Probability" is a scholarly journal that publishes research articles on the theory and applications of probability. It covers a wide range of topics related to applied probability, including stochastic processes, statistical mechanics, queueing theory, reliability theory, and various applications in fields such as finance, telecommunications, and operations research. The journal aims to disseminate high-quality research and often includes works that present new theoretical results, methodologies, or significant applications of probability theory.

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