"Arithmetic for Parents" is a book by Ron Aharoni, published in 2001. The book is designed to help parents understand the mathematics that their children are learning in school. It aims to bridge the gap between what is taught in schools and the understanding that parents might need to support their children's education. The book covers various mathematical concepts in a way that is accessible and engaging, often using practical examples and problems that parents might encounter in everyday life.
An angle is a geometric figure formed by two rays (or line segments) that have a common endpoint, known as the vertex. The measure of an angle is typically expressed in degrees or radians and represents the amount of rotation required to align one ray with the other. Angles can be classified into several types based on their measure: 1. **Acute Angle**: Less than 90 degrees. 2. **Right Angle**: Exactly 90 degrees.
In mathematics, the term **antiparallel** typically refers to vectors or lines that are oriented in opposite directions. Specifically, two vectors are said to be antiparallel if they have the same magnitude but point in opposite directions. For example, if vector \( \mathbf{a} \) points to the right (e.g.
A central angle is an angle whose vertex is at the center of a circle, and whose sides (rays) extend to the circumference of the circle. The central angle is formed between two radii of the circle that connect the center of the circle to two points on its edge. Central angles are important in various mathematical and geometric contexts, particularly in relation to the properties of circles, such as arc length and sector area.
Concurrent lines are geometrical lines that intersect at a single point. In a plane, if three or more lines are concurrent, they all meet at one common point, which is referred to as the point of concurrency. A classic example of concurrent lines can be found in triangles, where the three medians (lines drawn from each vertex to the midpoint of the opposite side) are concurrent at a point called the centroid.
"Confocal" generally refers to a type of microscopy or imaging technique that is used to increase the optical resolution and contrast of a micrograph by using a spatial pinhole to block out-of-focus light. The most common application of confocal technology is in confocal laser scanning microscopy (CLSM), which allows for the collection of three-dimensional images of specimens by scanning them with a focused laser beam.
Diameter is a protocol designed for authentication, authorization, and accounting (AAA) in computer networks. It is an evolution of the older RADIUS (Remote Authentication Dial-In User Service) protocol. Diameter offers several enhancements and improvements over RADIUS, making it more suitable for managing AAA needs in modern networks, especially in environments like telecommunications and mobile networks.
In geometry, an "edge" is defined as a line segment that connects two vertices in a polygon or polyhedron. Edges are one of the fundamental components of geometric shapes, alongside vertices (corners) and faces (surfaces). In two-dimensional shapes like polygons, edges are the straight lines that form the boundary of the shape. For example, a triangle has three edges, while a quadrilateral has four.
In geometry, translation refers to a type of transformation that moves every point of a figure or object a constant distance in a specified direction. This motion is uniform, meaning that all points move the same distance and in the same direction, resulting in a shape that is congruent to the original. Key characteristics of translation include: 1. **Vector Representation**: A translation can be represented using a vector, which indicates the direction and distance of the movement.
In geometry, a "jack" typically refers to a shape that is formed by combining two or more geometric figures. However, the term is more commonly associated with a type of mathematical object known as a "jackknife" or "jack" in the context of certain geometric constructions or games, such as "jackstraws" or "pick-up sticks.
Here's a list of essential formulas in elementary geometry, organized by different geometric figures: ### 1.
A mirror image refers to the reflection of an object or an individual as seen in a mirror. It typically appears reversed or flipped, meaning that the left side of the object appears as the right side in the reflection, and vice versa. This phenomenon can apply to various contexts, including: 1. **Physical Reflection**: When you stand in front of a mirror, your reflection is a mirror image. This reflection shows the same shape and details as you, but inverted laterally.
Tarski's axioms refer to a set of formal axioms proposed by the Polish logician and mathematician Alfred Tarski, particularly in his work on the semantics of formal languages and the theory of truth. Tarski is best known for his semantic definition of truth, which he formalized in the early 20th century.
The **CRC Concise Encyclopedia of Mathematics** is a comprehensive reference work that provides clear and concise explanations of a wide range of mathematical concepts, theories, and terms. Edited by Christopher Thomas A. Brown, the encyclopedia covers topics from various branches of mathematics, including algebra, analysis, geometry, topology, and applied mathematics.
The "Encyclopedia of the History of Arabic Science" is a comprehensive reference work that explores the contributions of Arabic-speaking scholars to the development of science throughout history. This encyclopedia typically covers a wide range of scientific fields, including mathematics, astronomy, medicine, philosophy, and more, highlighting the significant advancements that occurred during the Islamic Golden Age (roughly from the 8th to the 14th centuries).
The timeline of hydrogen technologies spans several centuries, reflecting the evolution of hydrogen production, storage, and applications. Here's an overview highlighting key milestones: ### 18th Century - **1766**: Henry Cavendish discovers hydrogen, calling it "inflammable air." He identifies hydrogen as a distinct substance. ### 19th Century - **1839**: Sir William Grove develops the first fuel cell, the "Grove cell," which converts hydrogen and oxygen into electricity.
Here's a brief timeline of key developments in sustainable energy research from 2020 to the present: ### 2020 - **COVID-19 Impact on Energy**: The pandemic caused a significant drop in energy demand, influencing research on energy systems' resilience and the integration of renewable sources. - **Renewable Energy Growth**: Reports indicated that renewable energy sources surpassed fossil fuels in new power installations globally, with significant advancements in solar and wind technologies.
Alvin M. Weinberg (1915–2006) was an influential American nuclear physicist and a key figure in the development of nuclear energy in the United States. He is best known for his role as the director of the Oak Ridge National Laboratory (ORNL) from 1955 to 1973, where he contributed to various aspects of nuclear research and technology, including the development of nuclear reactors.
The Enrico Fermi Award is a prestigious award presented by the U.S. Department of Energy (DOE) in honor of the Italian-American physicist Enrico Fermi. Established in 1956, the award recognizes individuals for their outstanding contributions to the field of nuclear science and related disciplines, particularly those that have advanced the understanding and application of nuclear energy.

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