"A Treatise on the Circle and the Sphere" is a mathematical work by the 19th-century mathematician Augustin-Louis Cauchy. The treatise explores various properties and theorems related to circles and spheres, contributing to the field of geometry. Cauchy's work often involved rigorous mathematical proofs and the formulation of fundamental principles, and this treatise is no exception.
The term "inverse curve" can refer to different concepts depending on the context in which it is used. Here are a few possible interpretations: 1. **Mathematics/Geometry**: In mathematics, an inverse curve might refer to a curve that is generated by taking the inverse of a given function.
CHRNA10 is a gene that encodes a subunit of nicotinic acetylcholine receptors (nAChRs), which are a class of receptors that respond to the neurotransmitter acetylcholine. These receptors are involved in various neurological processes, including synaptic transmission and neuromuscular junction activity. The CHRNA10 gene is part of the larger family of nicotinic receptor genes and is known to play a role in modulating synaptic function and plasticity.
CLCN2, or Chloride Channel 2, is a gene that encodes a protein belonging to the CLC (chloride channel) family of ion channels. These proteins play crucial roles in regulating the flow of chloride ions across cellular membranes, which is important for maintaining cellular homeostasis, volume regulation, and electrical excitability in various tissues.
Return on Net Assets (RONA) is a financial performance metric that measures the efficiency of a company in generating profits from its net assets. It is calculated by taking the net income of the company and dividing it by the total net assets (which are typically total assets minus total liabilities).
Ion channel openers are compounds or substances that stimulate the opening of ion channels in cell membranes, facilitating the flow of ions such as sodium, potassium, calcium, or chloride across the membrane. These channels are crucial for various physiological functions, including the generation of action potentials in neurons, muscle contraction, and the regulation of cellular excitability. Ion channel openers can have various therapeutic applications.
CACNG2, or calcium voltage-gated channel auxiliary subunit gamma 2, is a gene that encodes a protein involved in the functioning of voltage-gated calcium channels. These channels play a critical role in regulating calcium ion flow into cells, which is essential for various physiological processes, including muscle contraction, neurotransmitter release, and the overall regulation of cellular signaling.
The conjunction fallacy is a logical fallacy that occurs when people incorrectly believe that specific conditions are more probable than a single general one. This fallacy was famously illustrated in a study by psychologists Daniel Kahneman and Amos Tversky. In their experiments, participants were presented with a description of a person and then asked to evaluate the likelihood of different statements about that person.
The Deltoid curve, also known as the deltoid or bodkin curve, is a type of Cartesian curve defined by a specific mathematical equation. It is generated by the intersection of a circle and a straight line segment. The curve has a distinctive three-pointed shape resembling a triangle with rounded edges.
Toric sections refer to the curves that can be formed by intersecting a torus (a doughnut-shaped surface) with a plane in three-dimensional space. The study of toric sections is essential in both geometry and algebraic geometry, as it can reveal various shapes and properties depending on the angle and position of the intersection.
Connexive logic is a type of non-classical logic that was developed to address certain philosophical issues concerning implication and conditional reasoning. It primarily focuses on the relationship between antecedents and consequents in conditional statements, aiming to provide a more nuanced understanding of how these relationships operate in reasoning. One key characteristic of connexive logic is its rejection of certain traditional principles of implication that can lead to problematic conclusions.

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