In geometry and navigation, a "turn" typically refers to the action of changing the direction or orientation of an object, often measured in degrees or radians. A full turn corresponds to a 360-degree rotation, which brings an object back to its original position. Here are some common terms related to turns: 1. **Right Turn**: A turn of 90 degrees to the right. 2. **Left Turn**: A turn of 90 degrees to the left.
The De Bruijn–Newman constant, denoted as \(\Lambda\), is a concept in number theory and analytic number theory related to the distribution of prime numbers. It arises in the context of the Riemann zeta function and its generalizations.
A degree is a unit of measurement for angles. It is commonly used in various fields, including mathematics, engineering, navigation, and meteorology. One complete rotation around a point is divided into 360 degrees. In the context of angles: - A right angle measures 90 degrees. - A straight angle measures 180 degrees. - A full rotation (complete revolution) measures 360 degrees. Degrees can also be expressed in terms of fractions or as decimal values.
The Hermite constant is a mathematical concept in the field of number theory and geometry, particularly in relation to lattices in Euclidean spaces.
The Lemniscate constant, often denoted by the symbol \( L \), is a mathematical constant that arises in connection with the geometry of the lemniscate, a figure-eight shaped curve.
The Ramanujan–Soldner constant is a mathematical constant denoted by the symbol \( L \) and is approximately equal to \( 0.781072... \). It is defined as the unique positive root of the logarithmic integral function \( \text{Li}(x) = 0 \).
The "Sophomore's Dream" is a term used in mathematics, particularly in the context of number theory. It refers to a specific type of mathematical problem or equation related to the sums of squares and their properties. More specifically, it describes the scenario where a number can be expressed as the sum of two squares in more than one way.
The square root of 2 is an irrational number approximately equal to 1.41421356237. It is often represented as √2. This value cannot be expressed as a simple fraction, and its decimal representation goes on infinitely without repeating.
The Universal Parabolic Constant, often denoted by the symbol \( p \), is a mathematical constant defined as the ratio of the length of a parabola's arc segment to the length of its vertical projection. More specifically, for a parabola described by the equation \( y = x^2 \), the constant is derived from the comparison between the arc length of the curve and the distance along the vertical from the origin to a given point on the parabola.
Plate notation is a visual representation used in statistical modeling and graphical models, particularly in the fields of Bayesian statistics and machine learning. It provides a compact way to illustrate complex models, including the relationships among various random variables, parameters, and data structures. In plate notation, diagrams represent different components of a model, such as: - **Random variables**: Represented usually by circles or ovals. - **Parameters**: Often denoted by rectangles or squares.
A chamfered dodecahedron is a geometric shape that is derived from a regular dodecahedron, which is a polyhedron composed of 12 regular pentagonal faces. The term "chamfered" refers to the process of truncating or beveling the vertices of the dodecahedron, resulting in a new shape.
Decimal representation refers to the way numbers are expressed in base 10, which is the standard numbering system used in everyday life. In this system, the digits range from 0 to 9. Each digit's position in a number represents a power of 10, which determines its value.
Infix notation is a common way of writing expressions in mathematics and computer programming where operators are placed between their operands. This is the standard notation that most people are familiar with. For example, in the expression: ``` A + B ``` the `+` operator is placed between the operands `A` and `B`.
Financial risk management is the process of identifying, assessing, and mitigating risks that could adversely affect an organization's financial health. It involves the implementation of strategies, policies, and tools designed to understand and control various types of financial risk, including: 1. **Market Risk**: This refers to the risk of losses due to changes in market prices, such as interest rates, foreign exchange rates, and equity prices. Market risk can be broken down further into interest rate risk, currency risk, and equity risk.
Mathematical Alphanumeric Symbols is a Unicode block that includes a range of characters used primarily in mathematical contexts, such as variables and mathematical notation. The block encompasses various symbols, letters, and numbers in different styles, allowing for the representation of mathematical concepts in a visually distinct manner. ### Key Highlights of Mathematical Alphanumeric Symbols: 1. **Characters Included**: This block contains characters like bold, italic, script, and fraktur letters, as well as digits styled in various ways.
Symbolic language in mathematics refers to the use of symbols and notation to represent mathematical concepts, relationships, operations, and structures. This language allows mathematicians to communicate complex ideas succinctly and clearly. The use of symbols facilitates the formulation of theories, the manipulation of equations, and the representation of abstract concepts in a standardized way. Here are some key aspects of symbolic language in mathematics: 1. **Symbols and Notation**: Mathematical symbols (e.g.
Proof by intimidation is a type of argument or reasoning where someone tries to convince others of the validity of a statement or idea not through logical proof or evidence, but by using authority, confidence, or the specter of intimidation. Essentially, the person making the claim uses their position, personality, or aggressive demeanor to pressure others into accepting their assertion without critically examining it.

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