The Doppler effect is a phenomenon that occurs when there is a change in frequency or wavelength of a wave in relation to an observer who is moving relative to the wave source. This effect is commonly associated with sound waves, but it also applies to electromagnetic waves, such as light. ### Key Points of the Doppler Effect: 1. **Source and Observer Movement**: - If the wave source moves toward the observer, the waves are compressed, resulting in a higher frequency (or shorter wavelength).
Weather refers to the atmospheric conditions in a specific place over a short period of time, typically hours to days. It encompasses various elements, including temperature, humidity, precipitation (such as rain or snow), wind speed and direction, atmospheric pressure, and cloud cover. Weather can change rapidly and is influenced by several factors, including geographic location, time of year, and local atmospheric conditions.
Sophie Morel may refer to various individuals or contexts, but it’s not clear which specific Sophie Morel you are referring to since it could be a common name.
Ferromagnetism is a fundamental magnetic property of certain materials, primarily metals, characterized by a strong attraction to magnetic fields and the ability to retain magnetization even after the external magnetic field is removed. This behavior is due to the alignment of magnetic moments of atomic or molecular dipoles within the material.
"Quadrics" can refer to a few different concepts depending on the context. Here are a few possible interpretations: 1. **Mathematics**: In mathematics, specifically in geometry, quadrics are surfaces defined by second-degree polynomial equations in three-dimensional space. Common examples include ellipsoids, hyperboloids, and paraboloids.
"British physicist stubs" refer to short articles or entries about British physicists on Wikipedia that are considered incomplete and require further expansion. In Wikipedia terminology, a "stub" is a page or article that provides minimal information but has the potential to be significantly developed. These stubs usually include basic information like the physicist's name, birth and death dates, and possibly a few key contributions, but lack detailed descriptions of their work, influence, and other relevant information.
Ductility is a mechanical property of materials that refers to their ability to deform plastically under tensile stress without breaking. This means that a ductile material can be stretched into a wire or molded into various shapes before it fractures. Ductility is important in many engineering applications, as it allows materials to absorb energy and adapt to stresses without failing abruptly. Materials that exhibit high ductility typically experience significant elongation before failure, which can be quantified using tensile testing methods.
The Satake isomorphism is a result in the field of algebraic geometry and representation theory, particularly within the context of the theory of automorphic forms and the geometry of symmetric spaces. It provides a connection between certain representations of a group (usually a reductive algebraic group) and its associated Hecke algebra, which arises in the study of functions on the group that are invariant under certain symmetries.

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