Math-U-See is a mathematics curriculum designed to provide students with a comprehensive understanding of mathematical concepts through a mastery-based approach. The program emphasizes the use of hands-on manipulatives and visual aids to help students grasp abstract mathematical ideas. It is suitable for a wide range of learners, from homeschooling families to traditional classrooms.
The International Society for Design and Development in Education (ISDDE) is an organization that focuses on the role of design and development in education. Founded to promote the improvement of educational practices through systematic design, ISDDE brings together researchers, educators, and developers who are interested in enhancing learning experiences and outcomes. The society emphasizes collaboration and the sharing of knowledge and resources among its members to support the effective design and implementation of educational programs, materials, and technologies.
Hampshire College Summer Studies in Mathematics (HCSSiM) is a mathematics program designed for high school students who are particularly interested in mathematics and wish to deepen their understanding of the subject. Typically held at Hampshire College in Amherst, Massachusetts, this program offers a challenging and engaging curriculum that goes beyond standard high school math courses. The program focuses on problem-solving, collaboration, and creative thinking in mathematics.
Concentration inequalities are mathematical inequalities that provide bounds on how a random variable deviates from a certain value (typically its mean). These inequalities are essential in probability theory and statistics, particularly in the fields of machine learning, information theory, and statistical learning, because they help analyze the behavior of sums of random variables, as well as the performance of estimators and algorithms. There are several well-known concentration inequalities, each suitable for different types of random variables and different settings.
The Hsu–Robbins–Erdős theorem is a result in probability theory that deals with the almost sure convergence of sums of random variables. Specifically, it is concerned with sums of independent random variables that have finite means but possibly infinite variances.
Ross's conjecture is a hypothesis in the field of mathematics, specifically in number theory and combinatorics. It pertains to the behavior of certain sequences and their asymptotic properties. The conjecture was introduced by the mathematician John Ross in the early 2000s and explores the relationships between additive and multiplicative number theory. The specifics of the conjecture can vary based on its context, but it generally deals with conjectures regarding sums and products of integers or sequences.
The Binomial sum variance inequality is a result in probability theory that deals with the variance of the sum of independent random variables. While there are various forms of inequalities related to sums of random variables, one common form associated with the binomial distribution is the variance of a binomially distributed random variable. For a random variable \(X\) that is binomially distributed, i.e.
Popoviciu's inequality is a result in statistics concerning the variances of random variables. Specifically, it provides a bound on the variance of a random variable in relation to its range.
The term "Historie" can refer to different contexts depending on the subject matter. Here are a few interpretations: 1. **General Meaning**: In many languages, such as German and French, "Historie" simply means "history." It encompasses the study of past events, particularly in human affairs. 2. **Specific Works**: "Historie" may also refer to specific historical texts or literary works.
"Starry Messenger" is a picture book by the renowned author and illustrator Matthew Winner. It is a beautifully illustrated work that introduces young readers to the life and ideas of the famous astronomer and physicist Galileo Galilei. The book focuses on Galileo's curiosity about the universe, his observations of the stars and planets, and how his discoveries paved the way for modern astronomy. The story emphasizes themes of exploration, inquiry, and the importance of questioning the world around us.
"Death Wish" is the 18th episode of the second season of **Star Trek: Voyager**, which originally aired on February 3, 1996. This episode is notable for its exploration of themes such as free will, the value of life, and the ethics surrounding assisted suicide. In "Death Wish," the Voyager crew encounters a mysterious being known as Q, portrayed by John de Lancie, who is part of the Q Continuum.
The Nicolaus Copernicus Monument in Montreal is a commemorative statue dedicated to the famous Renaissance astronomer Nicolaus Copernicus, known for his heliocentric model of the universe, which posited that the Earth and other planets orbit the Sun. The monument is located in the neighborhood of Little Italy, near the Church of the Madonna della Difesa.
"Don't Fear the Roofer" is a phrase that can refer to various contexts, but it is most notably associated with the television show "The Office." In the show's third season, there is an episode titled "Don't Fear the Roofer," where the character Michael Scott, played by Steve Carell, searches for a roofer to help him out after a roofing problem arises at the office.
A rotary union, also known as a rotary joint or swivel joint, is a mechanical device that allows the transmission of fluid (liquid or gas) from a stationary source to a rotating component. This technology is commonly used in applications where pipes or hoses must remain connected while one end rotates, such as in machinery, robotics, and industrial systems. The functioning of a rotary union involves seals and bearings that enable fluid flow through the stationary and rotating parts while minimizing leakage and wear.
A tunnel washer is a type of industrial washing machine used primarily for cleaning textiles, such as towels, linens, and garments, in large-scale laundry operations. The design of a tunnel washer allows for a continuous, efficient washing process, where items move through a series of compartments or stages, each with specific functions for washing, rinsing, and drying.
The 't Hooft loop is a concept from theoretical physics, particularly in the context of gauge theories, including quantum field theories and string theories. It is named after the physicist Gerard 't Hooft, who made significant contributions to our understanding of gauge theories. In a gauge theory, the 't Hooft loop is an operator that creates a magnetic monopole-like configuration or represents the dual description of certain non-abelian gauge theories.
Zigbee is a wireless communication protocol designed for short-range communication and low-power consumption, primarily used in the Internet of Things (IoT) for applications such as home automation, industrial control, and smart energy. It is based on the IEEE 802.15.4 standard and operates in the 2.4 GHz, 915 MHz, and 868 MHz frequency bands.
The Electromagnetic Aircraft Launch System (EMALS) is a technology used to launch aircraft from an aircraft carrier using electromagnetic forces rather than traditional steam catapults. EMALS was developed primarily by the U.S. Navy as part of its efforts to modernize naval aviation capabilities. ### Key Features of EMALS: 1. **Electromagnetic Propulsion**: EMALS uses linear motors, specifically linear induction motors, to accelerate aircraft along a launch track.
Cubane is a hydrocarbon with the chemical formula C₈H₈. It is a type of saturated cyclic compound, specifically an eight-membered carbon ring, consisting of eight carbon atoms linked in a square planar arrangement with hydrogen atoms attached. Its structure is notable because it resembles a cube, which is where it gets its name. Cubane is of interest in the field of chemistry due to its unique structure and properties.

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