The number 290 is an integer that comes after 289 and before 291. It can be represented in various numerical systems, such as: - In Roman numerals, it is written as CXC. - In binary (base 2), it is represented as 100100010. - In hexadecimal (base 16), it is written as 12A.
The number 31 is an integer that follows 30 and precedes 32. It is considered a prime number because it has no divisors other than 1 and itself. In several contexts, it can be associated with different meanings: 1. **Mathematics**: - Prime Number: It is a prime because it cannot be divided evenly by any other numbers apart from 1 and 31.
The number 313 is an integer that follows 312 and precedes 314. It is considered a prime number, meaning it can only be divided evenly by 1 and itself. In different contexts, 313 may carry various meanings. For example: 1. **Mathematics**: As mentioned, 313 is a prime number. 2. **Culture**: In some areas, the number is associated with beliefs or significant events.
The number 32 is an integer that follows 31 and precedes 33. It is commonly recognized in various contexts: 1. **Mathematics**: - It is a power of 2, specifically \(2^5\), which can be expressed in binary as 100000. - It is an even number. 2. **Science**: - In chemistry, the atomic number of germanium is 32.
The number 8 is a whole number that comes after 7 and before 9. It is an integer, an even number, and can be represented in various forms such as in mathematics, where it can represent a quantity, value, or position in a sequence. Additionally, in various contexts, the number may have significance, such as in culture, symbolism, or numerology.
The number 54 is an integer that follows 53 and precedes 55. It is an even number and can be expressed as the product of its prime factors: \( 54 = 2 \times 3^3 \). It has several properties in different contexts: 1. **Mathematical Properties**: - It is a composite number, meaning it has divisors other than 1 and itself.
The number 69 is a natural number that comes after 68 and before 70. It is an odd number and has several interesting properties in mathematics. For example: 1. **Mathematical Properties**: - It is a composite number, meaning it has divisors other than 1 and itself. The divisors of 69 are 1, 3, 23, and 69.
The number 600 is a natural number that follows 599 and precedes 601. It is an even number and can be expressed in various mathematical forms: 1. **Prime Factorization**: 600 can be factored into prime numbers as \( 600 = 2^3 \times 3^1 \times 5^2 \). 2. **Roman Numerals**: In Roman numerals, 600 is represented as DC.
The number 6174 is known as Kaprekar's constant. It is famous in the field of number theory due to a process known as Kaprekar's routine. The process works as follows: 1. Take any four-digit number that has at least two different digits (for example, 3524). 2. Arrange the digits in descending order to get the largest possible number (4325). 3. Arrange the digits in ascending order to get the smallest possible number (2345).
The number 97 is a prime number, which means it is greater than 1 and cannot be formed by multiplying two smaller natural numbers other than 1 and itself. It is the 25th prime number and is located between 96 and 98 in the number line. In addition to its mathematical properties, the number 97 can have different meanings depending on the context.
The number 9999 is a four-digit integer that comes after 9998 and before 10000. It is often seen as a number that is close to the round number 10000. In various contexts, it can represent the maximum of a certain range, such as in numerical limits. In Roman numerals, 9999 is represented as _IXCMXCIX, where the underscores indicate multiplication by 1000 (indicating that each digit is multiplied by 1000).
Legendre's constant, denoted as \(L\), is a constant related to the distribution of prime numbers. It is defined in the context of the function that gives the number of primes less than or equal to a given integer \(n\). In particular, Legendre's constant can be expressed in terms of the prime counting function \(\pi(n)\), which counts the number of primes less than or equal to \(n\).
Graham's number is a famously large number named after mathematician Ronald Graham, and it arises in the context of a problem in Ramsey theory. It is so large that conventional notation, including powers and even tower exponents, cannot effectively express its size. Instead, it is defined using a special notation called Knuth's up-arrow notation.
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