Doppler tracking refers to a technique used in various fields, including astronomy, telecommunications, and navigation, to determine the speed and position of an object by analyzing the changes in frequency or wavelength of signals received from that object. The method is based on the Doppler effect, which describes how the frequency of a wave changes for an observer moving relative to the source of the wave.
Marcelo Viana is a Brazilian mathematician known for his work in various fields, including dynamical systems, geometric topology, and mathematical physics. He has made significant contributions to the understanding of dynamical systems, particularly in areas related to attractors, bifurcations, and the mathematical foundations of chaos theory. Viana also has an interest in intersections of mathematics with other disciplines, such as biology and economics.
In astrodynamics, the "sphere of influence" (SOI) refers to the region around a celestial body within which that body exerts a dominant gravitational influence on an object, such as a spacecraft, compared to the influence of other gravitational bodies. The concept is crucial for trajectory planning and navigation in space, as it helps determine when to consider the gravitational effects of a particular body.
Maxwell's equations are a set of four fundamental equations in classical electromagnetism that describe how electric and magnetic fields interact and propagate. They form the foundation of electromagnetic theory and are essential for understanding various physical phenomena, from basic electricity and magnetism to light and radio waves.
The copper-copper(II) sulfate electrode is a type of reference electrode commonly used in electrochemistry. It consists of a copper metal electrode immersed in a saturated solution of copper(II) sulfate (CuSO₄). This electrode is popular because it provides a stable and reproducible electrochemical potential, making it useful in various applications, including corrosion studies and as a reference in potentiometric measurements.
Isotope electrochemistry is a branch of electrochemistry that focuses on the behavior of isotopes during electrochemical reactions. Isotopes are variants of chemical elements that have the same number of protons but different numbers of neutrons, leading to different atomic masses. This difference in mass can influence the kinetics of electrochemical reactions, as well as the thermodynamic properties of reactants and products.
The magnetic radiation reaction force refers to the force experienced by a charged particle that emits electromagnetic radiation due to its acceleration. When a charged particle, such as an electron, is accelerated, it generates electromagnetic waves, which carry energy away from the particle. This emission of radiation leads to a change in the momentum of the particle, resulting in an additional force acting on it known as the radiation reaction force.
Cooperative games are a category of games in game theory where players can benefit from forming coalitions and collaborating with one another to achieve better outcomes than they could independently. In these games, the players can negotiate and make binding agreements to coordinate their strategies and share the payoffs that result from their cooperation. Key features of cooperative games include: 1. **Coalitions**: Players can form groups (coalitions) and work together.
Geometry education refers to the teaching and learning of geometry, a branch of mathematics that deals with the properties, measurements, and relationships of points, lines, angles, surfaces, and solids. Geometry is an essential component of the broader mathematics curriculum and is typically introduced in elementary school, continuing through secondary and even higher education. Key aspects of geometry education include: 1. **Conceptual Understanding**: Students learn basic geometric concepts such as points, lines, planes, angles, and shapes.
Geometric measurement is a branch of mathematics that deals with the measurement of geometric figures and their properties. It involves quantifying dimensions, areas, volumes, and other characteristics related to shapes and solids. Geometric measurement can include various aspects, such as: 1. **Length**: Measuring one-dimensional figures like lines and segments. This includes finding the distance between two points and the perimeter of shapes. 2. **Area**: Determining the size of a two-dimensional surface.

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