The 77th meridian west is a line of longitude that is 77 degrees west of the Prime Meridian, which is located at 0 degrees longitude. This meridian runs from the North Pole to the South Pole and passes through various locations in North America, including parts of Canada and the United States, before reaching the Southern Hemisphere. In the United States, the 77th meridian west passes through significant places such as Virginia, Maryland, and Washington, D.C.
The number 800 is a numerical value that represents eight hundred. It is an integer that comes after 799 and before 801 in the number line. In various contexts, it can be understood or used in different ways: 1. **Numerical Value**: It is simply the quantity represented by the numeral 800. 2. **Mathematical Properties**: It is an even number and can be factored into prime factors as \(2^5 \times 5^2\).
Abrasive Flow Machining (AFM) is a precision machining process used to improve the surface finish and shape of part features that can be difficult to reach using traditional machining methods. It utilizes a flowable abrasive medium—often a viscous polymer or a viscoplastic material mixed with abrasive particles—that is forced through or across the workpiece.
Plücker embedding is a mathematical construction that embeds a projective space into a higher-dimensional projective space. Specifically, it is most commonly associated with the embedding of the projective space \( \mathbb{P}^n \) into \( \mathbb{P}^{\binom{n+1}{2} - 1} \) using the concept of the lines in \( \mathbb{P}^n \).
Credit risk refers to the possibility that a borrower or counterparty will fail to meet their obligations in accordance with agreed terms, which often results in a financial loss for the lender or investor. This risk is particularly relevant in the context of loans, bonds, and other financial instruments where the repayment of principal and interest depends on the creditworthiness of the borrower.
The Esscher principle is a concept in actuarial science and financial mathematics, particularly in the context of insurance and risk theory. Named after the Danish actuary Finn Esscher, the principle is used for determining the premium that should be charged for an insurance product or for valuing insurance liabilities. The Esscher principle involves adjusting the probability measure of the underlying risk model through a transformation called the Esscher transform.
Longevity risk refers to the potential financial risk that arises from individuals living longer than expected. This risk is particularly relevant in contexts such as pensions, insurance, and retirement planning. Here are some key points about longevity risk: 1. **Definition**: Longevity risk is the risk that people will outlive their financial resources due to an increase in life expectancy. This can impact both individuals and financial institutions.
The concept of **apartness** is related to the idea of distinguishing between elements in a mathematical structure. It is a general way to formalize the notion of two elements being "distinct" or "different" without necessarily operating under the traditional framework of a metric or topology. The concept originates from the field of constructive mathematics and has implications in various areas such as algebra and topology.
Ulpian's life table, also known as the Table of Life (Tabula Vitae), is an ancient Roman text attributed to the jurist Domitius Ulpianus, who lived in the 2nd and 3rd centuries AD. Although the original table itself has not survived, it is known that Ulpian contributed significantly to the field of legal thought and population studies in ancient Rome.
Computational physics is a branch of physics that employs numerical methods and algorithms to solve complex physical problems that cannot be addressed analytically. It encompasses the use of computational techniques to simulate physical systems, model phenomena, and analyze data, thereby facilitating a deeper understanding of physical processes. Key aspects of computational physics include: 1. **Methodology**: This involves the development and implementation of algorithms to solve equations that arise from physical theories.
Cryptographic algorithms are mathematical procedures used to perform encryption and decryption, ensuring the confidentiality, integrity, authentication, and non-repudiation of information. These algorithms transform data into a format that is unreadable to unauthorized users while allowing authorized users to access the original data using a specific key. Cryptographic algorithms can be classified into several categories: 1. **Symmetric Key Algorithms**: In these algorithms, the same key is used for both encryption and decryption.
Ammunition designers are engineers or specialists who develop and create ammunition for firearms and other projectile-launching devices. Their work involves a deep understanding of ballistics, materials science, and the mechanics of firearms, as well as compliance with safety and legal standards. Key responsibilities of ammunition designers may include: 1. **Research and Development**: They conduct research to improve existing ammunition designs and develop new types of ammunition to enhance performance characteristics, such as accuracy, range, and stopping power.
Amusement rides have been introduced and developed over many years, with many significant releases each year. Here is a general overview of notable amusement ride introductions by decade rather than by specific year: ### 1800s - **Merry-Go-Round (Carousel):** Early versions appeared in the 18th century but became popular in amusement parks in the 19th century.
Anatoly Maslov is a name that may refer to several individuals, but most notably, it is associated with a prominent figure in the field of physics and mathematics, particularly in theoretical and applied mathematics contexts. He is recognized for contributions in areas such as probability theory, statistics, and systems theory.
Andrica's conjecture is a hypothesis in number theory proposed by the Romanian mathematician Dorin Andrica in 1980. The conjecture pertains to the distribution of prime numbers and specifically conjectures a relationship between consecutive prime numbers.
Anelastic attenuation refers to the loss of seismic wave energy due to the time-dependent, or viscoelastic, behavior of materials. It is a key concept in geophysics and seismology, as it helps in understanding how seismic waves propagate through different geological formations. The "anelastic attenuation factor" quantifies how much the amplitude of a seismic wave decreases as it travels through a medium due to this anelastic behavior.
Angular eccentricity, often used in the context of conic sections, refers to a measure of how much an orbit deviates from being circular. In the case of an ellipse, the eccentricity (denoted as \( e \)) is defined mathematically as the ratio of the distance between the foci of the ellipse to the length of its major axis.

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