In number theory, theorems are established propositions that are proven to be true based on previously accepted statements, such as axioms and previously proven theorems. Number theory itself is a branch of mathematics that deals with the properties and relationships of numbers, especially integers.
The term "Banach measure" is not a standard term in measure theory or functional analysis, but it might refer to several concepts that are associated with the work of mathematician Stefan Banach, especially concerning measures within vector spaces or more abstract settings. In a more specific context, "Banach measure" can refer to the concept of a measure defined on a Banach space, which is a complete normed vector space.
KCNQ5 is a gene that encodes a member of the potassium voltage-gated channel subfamily Q. The channels formed by KCNQ5 are involved in various physiological processes, including regulating the excitability of neurons and other types of cells. This specific potassium channel is known to contribute to the M-current, which is a slow, voltage-gated potassium current that helps stabilize the membrane potential and can influence the firing patterns of action potentials in neurons.
"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.
The ear canal, also known as the external auditory canal or external acoustic meatus, is a tubular structure that connects the outer ear to the middle ear. It plays a crucial role in the auditory system by directing sound waves from the external environment to the eardrum (tympanic membrane). The ear canal is typically about 2.5 centimeters (1 inch) long in adults and is lined with skin that contains glands that produce earwax (cerumen).
A functional shift, also known as a shift in grammatical function or part of speech shift, refers to the process in linguistics where a word changes its function (or part of speech) without any additional morphological change. This means that a word originally belonging to one grammatical category (like noun, verb, adjective, etc.) is used as a word from a different category.
A **Schreier vector** is a concept that arises in the context of group theory, particularly in the study of group actions and the construction of permutation representations of groups. The term is often associated with the use of the **Schreier graph** and can refer to a specific way of organizing cosets of a subgroup within a group.
Pseudoscientific physicists refer to individuals who claim to practice or speak about physics but whose ideas or theories lack empirical evidence, rigorous scientific methodology, or peer-reviewed validation. They may promote concepts that seem to be scientific but do not adhere to the established principles of the scientific method and are often not accepted by the mainstream scientific community.

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 5. . 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.
  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