A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. In other words, a prime number is only divisible by 1 and the number itself, meaning it cannot be divided evenly by any other integers. For example, the numbers 2, 3, 5, 7, 11, and 13 are all prime numbers.
The number 104 is an integer that comes after 103 and before 105. It is an even number and can be factored into its prime components as \(2^3 \times 13\).
A **quasiperfect number** is a hypothetical concept in number theory. It is defined as a positive integer \( n \) for which the sum of its proper divisors (all divisors excluding the number itself) is equal to \( n + 1 \).
Wolstenholme numbers are a special sequence of natural numbers related to combinatorial mathematics and number theory. Specifically, a Wolstenholme number \(W_n\) is defined as the binomial coefficient \(\binom{2n}{n}\) for a given non-negative integer \(n\), which counts the number of ways to choose \(n\) items from a set of \(2n\) items.
Znám's problem is a concept in the field of complexity theory and computational mathematics, specifically related to the study of decision problems and their difficulty. However, there might be some confusion or less familiarity with this term in broader contexts compared to well-known problems like the P vs NP problem. Typically, problems that fall under this umbrella deal with the difficulty of certain types of mathematical functions, especially in relation to numeric functions and complexity classes.
The proof that π is irrational was first established by Johann Lambert in 1768. His proof is somewhat complex and relies on properties of continued fractions, but I can provide a high-level overview of the concepts involved in proving the irrationality of π. ### Overview of Lambert's Proof 1. **Definitions**: A number is irrational if it cannot be expressed as a fraction of two integers.
The term "History of Large Numbers" typically refers to a concept in probability and statistics rather than a specific historical narrative. It might be a misunderstanding or conflation of two distinct ideas: the "Law of Large Numbers" and the general historical context of how large numbers and probabilities have been understood throughout time.
"Top lists" typically refer to curated collections of items ranked based on specific criteria, such as popularity, quality, or relevance. These lists can cover a wide range of topics and categories, including: 1. **Entertainment:** Top movies, TV shows, songs, or books. 2. **Travel:** Top destinations, hotels, or travel experiences. 3. **Food:** Top restaurants, dishes, or recipes. 4. **Technology:** Top gadgets, apps, or software.
A list of numbers is simply a collection of numerical values arranged in a specific order. This can be presented in various formats, such as a sequence (e.g., 1, 2, 3, 4, 5), a column, or a row in a table. Lists of numbers can be finite or infinite and can include different types of numbers, such as integers, fractions, decimals, or even complex numbers.
Recycling codes are numerical or alphanumeric symbols printed on plastic products to indicate the type of plastic resin used in their manufacturing. These codes help consumers and recycling facilities identify the material composition of plastics for proper recycling and waste management. The codes are typically found in the form of a triangle made of arrows, with a number inside, ranging from 1 to 7.
Radiometry is the science of measuring optical radiation, which includes electromagnetic radiation in the visible and invisible spectrum, such as ultraviolet and infrared light. It encompasses various concepts and units related to the detection and quantification of light energy, including its intensity, power, and distribution across different wavelengths. Key terms in radiometry include: 1. **Radiant Power (or Radiant Flux)**: The total amount of energy emitted by a light source per unit time, measured in watts (W).
Aegean numerals refer to a numeral system used in the Aegean region, specifically associated with the ancient Minoan and Mycenaean civilizations. These numerals were part of the broader writing systems of these cultures, which included various scripts like Linear A (used by the Minoans) and Linear B (used by the Mycenaeans).
In rugby union, players are assigned numbers based on their positions on the field. This numbering scheme helps to distinguish the roles and responsibilities of each player. The numbering typically ranges from 1 to 15 for the starting players on the field, and teams can have additional players numbered 16 to 23 or beyond as substitutes or reserves. Here's a breakdown of the traditional numbering scheme: ### Forwards (1-8) 1.
The Chansonnier Cordiforme, also known as the “Heart-Shaped Chansonnier,” is a notable manuscript containing a collection of medieval French songs and poems. It dates back to the 14th century and is particularly associated with the tradition of courtly love and the lyrical poetry of that period. The manuscript is unique not only for its content but also for its heart-shaped layout, which is both a visual and artistic innovation.
Dow Partbooks is an electronic catalog and parts management system developed by Dow Chemical Company. It is designed to streamline the ordering and management of parts, particularly for maintenance and operations in various industries. The system typically provides users with access to a comprehensive database of parts, including descriptions, specifications, and availability. Users can browse or search for specific parts, view detailed information, and place orders directly through the platform.
The Gyffard partbooks are a collection of musical manuscripts compiled in the late 16th century, specifically around the 1580s, which contain vocal music, primarily polyphony, for four voices. They are named after their owner, the Englishman John Gyffard, who was a member of the nobility and had an interest in music.
"Ileborgh Tablature" does not appear to refer to a widely recognized concept, system, or term in music, literature, or other common fields up to October 2023. It's possible that it could be a misspelling or a lesser-known term.
Harold Widom is a prominent mathematician known for his contributions to the fields of mathematical physics, particularly in the area of random matrices and integrable systems. He has worked extensively on topics involving statistical mechanics and the theory of orthogonal polynomials. Widom has authored numerous papers and has had a significant impact on the development of techniques used in these areas.
Michael J. Larsen could refer to various individuals, as it's a relatively common name. However, one notable person by that name is a mathematician known for his work in algebra, particularly in the areas of representation theory and algebraic groups. He has published various research papers and has contributed to the mathematical community through teaching and mentorship. If you are referring to a specific Michael J. Larsen or a different context (such as literature, another field, etc.
Robert Mills is an American theoretical physicist known for his contributions to particle physics and quantum field theory. He is best known for co-developing the concept of the "Mills–Lee model", which is related to gauge theory in particle physics. Mills has made significant contributions to the understanding of gauge symmetries and their implications for the fundamental forces in nature. He worked alongside other notable physicists, including the renowned Steven Weinberg.

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