Bonse's inequality is a mathematical result related to number theory, particularly in the context of prime numbers. Specifically, it provides a bound on the distribution of prime numbers and related sequences. The inequality asserts that for every positive integer \( n \), the sum of the reciprocals of the prime numbers up to \( n \) diverges logarithmically.
"Fermat's Last Theorem" is a book written by Simon Singh, published in 1997. The book explores the history and significance of Fermat's Last Theorem, which asserts that there are no three positive integers \(a\), \(b\), and \(c\) that satisfy the equation \(a^n + b^n = c^n\) for any integer value of \(n\) greater than 2.
"Number stubs" typically refer to a way of representing or visualizing numerical data in a simplified or truncated format. However, the term can have different meanings depending on the context in which it is used. Here are a couple of contexts where "number stubs" might be relevant: 1. **Data Representation**: In database systems or programming, "number stubs" can refer to partial representations of numbers, where only certain digits or a range of values are displayed.
In recreational mathematics, a **minimal prime** refers to a prime number that has certain minimal properties, often in the context of a specific mathematical structure or problem. While the term "minimal prime" may not have a universally agreed-upon definition, one common interpretation is that it may describe the smallest prime number in a particular set or sequence that meets specific criteria. For example, in the context of prime numbers, the smallest prime (which is 2) could be referred to as a minimal prime.
The term "Multimagic cube" typically refers to a type of mathematical puzzle that extends the concept of a magic square or magic cube into higher dimensions. A magic cube is a three-dimensional arrangement of numbers in which the sums of the numbers in each row, column, and diagonal (in all three dimensions) are equal to a constant known as the magic constant.
Wind fetch refers to the distance over water that the wind blows in a consistent direction without any significant obstruction. It is an important concept in meteorology and oceanography, as it affects the size and energy of ocean waves. The longer the fetch, the more energy waves can gain, leading to larger and more powerful waves when the wind blows steadily over a long distance.
Raghunatha Siromani, also known as Raghunatha Sharma, was a prominent figure in the realm of Indian classical music, particularly associated with the tradition of Dhrupad, which is one of the oldest forms of Hindustani classical music. He was born in the 16th century in the region of Bengal.
An undulating number is a number where the digits alternately increase and decrease. More formally, a number is considered undulating if, for every pair of adjacent digits in the number, either the left digit is greater than the right digit or the left digit is less than the right digit, with no two adjacent digits being equal.
In mathematics, particularly in linear algebra and functional analysis, the term "unit function" can refer to different concepts depending on the context. Here are a few interpretations: 1. **Unit Function in Physics and Engineering**: In the context of signals, the "unit function" often refers to the unit step function (Heaviside function), which takes the value of 0 for negative inputs and 1 for non-negative inputs.
Algebraic numbers are a subset of complex numbers that are roots of non-zero polynomial equations with rational coefficients. In other words, a complex number \( \alpha \) is considered algebraic if there exists a polynomial \( P(x) \) with \( P(x) \in \mathbb{Q}[x] \) (the set of all polynomials with rational coefficients) such that \( P(\alpha) = 0 \).
Ordinal numbers are numbers that indicate the position or rank of an item in a sequence. They are used to describe the order of items, such as first, second, third, and so on. Unlike cardinal numbers, which denote quantity (e.g., one, two, three), ordinal numbers are primarily concerned with the arrangement of items.
The term "C-number" can refer to different concepts depending on the context, so it’s essential to clarify the specific area you’re asking about. Here are a few possibilities: 1. **Mathematics/Computer Science**: In some contexts, "C-number" might refer to a specific classification of numbers within a certain framework or theory. For instance, in universal algebra, C-numbers might represent certain classes of algebraic structures.
A "concrete number" typically refers to a specific, defined number that is not abstract. In contrast to abstract concepts such as infinity or mathematical symbols, a concrete number is one that can be directly referenced and easily understood, such as 1, 2, 3, or 10,000. However, it's worth noting that "concrete number" is not a standard term widely used in mathematics.
A list of places with numeric names typically includes cities, towns, and locations that have numbers as a part of their official name. Here are some notable examples from around the world: 1. **Oneonta, New York, USA** - A city known for its colleges and nearby natural beauty. 2. **Two Rivers, Wisconsin, USA** - Located at the mouth of the East and West Twin Rivers.
Debates in ancient India, often referred to as "vāda," were a prominent form of discourse and intellectual engagement that played a significant role in the philosophical and cultural traditions of the time. These debates served various purposes, including the exploration of philosophical concepts, the promotion of specific doctrines, and the resolution of disputes among scholars.
A part number is a unique identifier assigned to a specific part or component of a product, often used in manufacturing, inventory management, and supply chain processes. Part numbers help streamline the identification and retrieval of items, provide accurate information about the product specifications, and ensure compatibility and consistency across various components. Part numbers can vary in format, typically consisting of letters, numbers, or a combination of both, and may include information such as the manufacturer, model, and specific attributes of the part.
Gaṅgeśa, also known as Gaṅgeśa Upādhyāya or Gangesha, was a prominent Indian philosopher and logician who played a critical role in the development of the Nyaya school of philosophy during the 14th century. He is most renowned for his systematic approach to logic and epistemology, and he is often credited with reviving and further developing the Nyaya philosophy, which originally focused on logic, reasoning, and the nature of knowledge.
Ancient astronomy refers to the astronomical knowledge and practices of ancient civilizations before the advent of modern scientific methods and technologies. It encompasses the study of celestial phenomena, the observation of the night sky, the development of calendars, and the interpretation of astronomical events in relation to agricultural, religious, and social activities. Key features of ancient astronomy include: 1. **Observations of Celestial Bodies**: Ancient peoples closely observed the movements of the sun, moon, stars, and planets.
Early scientific cosmologies refer to the initial frameworks and models developed to understand the nature and origins of the universe. These early cosmologies laid the groundwork for modern cosmology by attempting to explain the structure, composition, and processes governing the universe based on observational data, philosophical reasoning, and the scientific method.
A bathometer is an instrument used to measure the depth of water, particularly in oceans or other large bodies of water. It is often utilized in marine science and oceanography, where accurate depth measurements are crucial for various studies, including navigation, underwater topography mapping, and marine biology research.
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





