Units of chemical measurement refer to the standardized quantities used to express and communicate data related to chemical substances, reactions, and properties. These units allow scientists and researchers to measure and compare different aspects of chemical compounds systematically. Here are some of the key units used in chemistry: 1. **Mass**: - **Gram (g)**: The primary unit of mass in the metric system. - **Kilogram (kg)**: 1 kg = 1000 grams.
Units of measurement are standardized quantities used to express physical properties or characteristics. They provide a way to quantify and compare different aspects of the world around us, such as length, mass, volume, temperature, and time. Units can be part of different measurement systems, the most common of which are the International System of Units (SI) and the Imperial system.
In mathematics, a "limiting case" refers to a situation or a scenario in which a particular condition is approached as a limit. This often involves taking a mathematical expression or situation and examining its behavior as certain parameters or variables tend towards a specific value, often infinity or zero. Limiting cases are commonly used in various fields of mathematics, including calculus, optimization, and differential equations.
Sheaf of planes by Wikipedia Bot 0
A "sheaf of planes" typically refers to a mathematical construct in algebraic geometry and related fields, where a "sheaf" is a tool used to systematically track local data associated with a topological space. This concept is fundamental in the study of algebraic varieties, differentiable manifolds, and other geometrical structures.
Cahen's constant by Wikipedia Bot 0
Cahen's constant is a mathematical constant that arises in the study of continued fractions and is denoted by the symbol \( C \). It can be defined as the sum of the reciprocals of the factorials of the natural numbers, specifically: \[ C = \sum_{n=0}^{\infty} \frac{1}{n!} \] This series converges to a value very close to the number \( e \) (the base of the natural logarithm).
Dottie number by Wikipedia Bot 0
The Dottie number is defined as the unique fixed point of the function \( f(x) = \cos(x) \). This means that when you compute \( f(x) \) and set it equal to \( x \) (i.e., \( x = \cos(x) \)), the value of \( x \) that satisfies this equation is known as the Dottie number. The Dottie number is approximately equal to 0.7390851332151607.
The Komornik–Loreti constant, denoted as \(C\), is a mathematical constant that arises in the context of number theory and dynamical systems. It is defined as the unique positive root of the polynomial equation: \[ x^2 = 2^{\beta} x + 1 \] where \(\beta\) is a specific parameter, typically equal to \(\log_2(3)\).
Omega constant by Wikipedia Bot 0
The Omega constant, denoted by the symbol \( \Omega \), is a special number that is defined as the unique positive real solution to the equation \[ x = e^{-x}. \] This equation can also be written as: \[ x e^x = 1, \] which means that \( \Omega \) is related to the Lambert W function, specifically the principal branch \( W_0 \).
Silver ratio by Wikipedia Bot 0
The Silver Ratio is a mathematical constant that arises from the context of continuous fractions and geometric constructions, analogous to the more commonly known Golden Ratio. It is defined as: \[ \delta_S = 1 + \sqrt{2} \approx 2.41421...
The quasi-empirical method is a research approach that combines empirical observations with theoretical models, especially in fields such as physics, chemistry, and materials science. This method is particularly useful when dealing with complex systems where purely empirical measurements are difficult to obtain, or where theoretical models alone may not suffice to describe the behavior of a system accurately. In the quasi-empirical method, researchers often utilize existing theoretical frameworks to guide their exploration but augment these frameworks with empirical data collected from experiments or observations.
Innuendo by Wikipedia Bot 0
Innuendo refers to an indirect or subtle expression, often implying something derogatory or suggestive without stating it outright. Innuendos can be used in various contexts, such as humor, criticism, or gossip. The term is often associated with double meanings or hidden implications, where the speaker conveys a message that is understood by the audience but not explicitly stated.

Pinned article: ourbigbook/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