The number 99 is a natural number that follows 98 and precedes 100. It is an integer, an odd number, and can be expressed in various numeric systems: - In Roman numerals, it is represented as XCIX. - In binary, it is written as 1100011. - In hexadecimal, it is represented as 63. Mathematically, 99 is the square of 9.
The number 4104 could refer to various things depending on the context. It might be a specific year, a zip code, a model number, an identifier, or simply a numerical value. Here are a few interpretations: 1. **Mathematics**: 4104 is an integer, and it can be categorized as an even number. 2. **Historical Year**: If considered as a year, it is far in the future and does not have any historical significance at the moment.
The number 43 is a natural number that follows 42 and precedes 44. It is an integer and is considered a prime number because it has no positive divisors other than 1 and itself. In mathematical terms, it can be expressed in various contexts, such as: - **Mathematics**: As a prime number, it can only be evenly divided by 1 and 43.
The number 44 is a natural number that follows 43 and precedes 45. It is an even number and can be classified mathematically in several ways: 1. **Mathematics**: - It is a composite number, as it has divisors other than 1 and itself. The divisors of 44 are 1, 2, 4, 11, 22, and 44.
The number 55 is an integer that follows 54 and precedes 56. It is a composite number, meaning it can be divided by numbers other than itself and one. The prime factorization of 55 is \(5 \times 11\). In various contexts: - **Mathematics**: It is often studied in number theory and can be a participant in various patterns.
The number 57 can refer to various contexts, including: 1. **Mathematics**: It's an integer that follows 56 and precedes 58. It is an odd number, and it is the product of the prime factors \(3 \times 19\). 2. **Cultural References**: The number 57 is famously associated with Heinz, which markets its ketchup with the slogan "57 varieties," although the company produces far more than 57 types of products.
The number 98 is a two-digit integer that comes after 97 and before 99. It is an even number and can be expressed in various ways, including: - **Roman numeral:** XCVIII - **Binary:** 1100010 - **Hexadecimal:** 62 In terms of mathematics, 98 can be factored into its prime factors, resulting in \(2 \times 7^2\).
The number 616 is an integer that is preceded by 615 and followed by 617. It is an even number and can be factored into prime numbers as follows: \(616 = 2^3 \times 7 \times 11\). In various contexts, 616 may also have different meanings: 1. **In Culture**: The number 616 has been referenced in various cultural settings, including literature and media.
The number 82 is an integer that follows 81 and precedes 83. It is an even number and can be expressed in several ways: - In **Roman numerals**, it is written as **LXXXII**. - In **binary**, it is represented as **1010010**. - In **octal**, it is represented as **122**. - In **hexadecimal**, it is represented as **52**.
The number 85 is an integer that follows 84 and precedes 86. It is an odd number, and it can be expressed in various ways: 1. **Mathematics**: - In Roman numerals, 85 is represented as LXXXV. - In binary, it is represented as 1010101. - It can be factored into prime numbers as \(5 \times 17\).
The number 900 is a three-digit integer that comes after 899 and before 901. It is an even number and can be expressed in several different mathematical contexts: 1. **Mathematical Properties**: - It is a composite number, meaning it has factors other than 1 and itself. Its prime factorization is \( 2^2 \times 3^2 \times 5^2 \).
The number 91 is an integer that comes after 90 and before 92. It is an odd number and can be factored into prime factors as \( 7 \times 13 \). Additionally, 91 has various properties in mathematics: 1. **Mathematical Properties**: - It is a composite number. - It is the sum of the prime numbers 43 and 47.
The term "gross" can refer to different meanings depending on the context, but it is often used in a few specific ways: 1. **Gross Weight**: This refers to the total weight of an item including its packaging or container. It is commonly used in shipping and logistics to determine the total weight of goods being transported.
Regional Internet Registries (RIRs) are organizations that manage and allocate IP address resources (both IPv4 and IPv6) within specific regions of the world. They ensure the efficient distribution of IP addresses and handle other aspects of Internet resource management, such as Autonomous System Numbers (ASNs). RIRs operate under policies that are developed by the community of network operators and other stakeholders in their respective regions.
"Myriad" can refer to several different things depending on the context. Here are a few possibilities: 1. **General Meaning**: In its most basic sense, "myriad" means a countless or extremely great number. It is often used to describe a large variety of something. 2. **Myriad Genetics**: This is a biotechnology company that focuses on genetic testing and precision medicine. It offers tests for various conditions, including cancer, and provides information that aids in treatment decisions.
The number 0 can be referred to by various names and terms in different contexts: 1. **Zero** - The most common name. 2. **Naught** - Often used in mathematical contexts or when referring to a value of nothing. 3. **Nil** - Commonly used in sports or informal contexts to mean zero, particularly in scores. 4. **Null** - Used in programming and database terminology to denote a lack of value or a non-existent object.
The Prékopa–Leindler inequality is a fundamental result in the field of convex analysis and probability theory. It provides a way to compare the integrals of certain convex functions over different sets.
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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
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. 
- Infinitely deep tables of contents:
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