The Birthday Problem, also known as the Birthday Paradox, refers to a counterintuitive probability puzzle that deals with the likelihood of two or more people sharing the same birthday in a group. The problem is commonly stated as follows: In a group of \( n \) people, what is the probability that at least two of them share the same birthday?
A "Dutch book" refers to a scenario in probability theory and financial mathematics that illustrates the concept of coherence in belief systems, particularly in relation to bets and odds. The term is often associated with the work on betting systems and rational decision-making. In essence, a Dutch book is a situation where a person's set of odds or beliefs about outcomes is inconsistent, allowing another party to make a series of bets that guarantees them a profit regardless of the outcome.
High availability (HA) refers to a system or component that is continuously operational for a long period of time. In the context of IT infrastructure, it is the design and implementation of systems that ensure a high level of operational performance and uptime, minimizing downtime and ensuring continuous access to services and data. Key aspects of high availability include: 1. **Redundancy**: Critical components are duplicated to ensure that if one fails, another can take over without interrupting the service.
Stress wave communication refers to a method of transmitting information using mechanical stress waves as the medium. This concept can be applied in various contexts, including engineering, telecommunications, and even biological systems. In its more common applications, stress wave communication leverages vibrations or acoustic waves generated by mechanical stress in materials. Information can be encoded into these waves through variations in frequency, amplitude, or phase, similar to how other communication systems might modulate electromagnetic signals.
Geostatistics is a branch of statistics that focuses on spatial data analysis and the modeling of spatially correlated random variables. It is particularly useful in fields such as geology, meteorology, environmental science, mining, and agriculture, where the spatial location of data points plays a critical role in understanding and predicting phenomena.
Statistical genetics is a field that combines principles of statistics, genetics, and biology to analyze and interpret genetic data. It involves the development and application of statistical methods to understand the genetic basis of traits and diseases, as well as the inheritance patterns of genes. Key areas of focus in statistical genetics include: 1. **Genetic Mapping**: Identifying the locations of genes associated with specific traits or diseases in the genome, often using techniques like genome-wide association studies (GWAS).
A Lychrel number is a natural number that is not known to form a palindrome through the iterative process of reversing its digits and adding the result to the original number. A number is considered a palindrome if it reads the same forwards and backwards (for example, 121 or 12321). The Lychrel process typically involves the following steps: 1. Take a natural number n. 2. Reverse its digits to get a new number. 3. Add the reversed number to the original number.
Ali Reza Ashrafi may refer to a person, but as of my last update in October 2023, there are no widely recognized public figures or notable individuals by that name in mainstream media or notable historical contexts. It's possible that Ali Reza Ashrafi could be a private individual, a professional in a specific field, or someone who has gained prominence after my last update.
Aryabhata II was an Indian mathematician and astronomer who lived around the 10th century CE. He is sometimes confused with the earlier Aryabhata, an influential mathematician and astronomer from the 5th century CE. Aryabhata II is known for his contributions to the fields of mathematics and astronomy, particularly in the context of the Indian numeral system.
Brahmadeva, often referred to as Brahma, is a deity in Hinduism regarded as the creator god in the Trimurti, which also includes Vishnu the preserver and Shiva the destroyer. Brahma is typically depicted with four heads representing the four Vedas (the primary texts of Hinduism) and is associated with knowledge, creation, and the arts.
Farideh Firoozbakht is an Iranian poet, writer, and translator known for her contributions to Persian literature and her advocacy for women's rights. She has written extensively in various literary forms, including poetry and prose. Her work often explores themes of identity, culture, and social issues, particularly regarding the experiences of women in Iran. Firoozbakht is recognized for her unique voice and the emotional depth of her writing.
Jia Xian (also known as Jiaxian) refers to an ancient Chinese mathematical concept and method related to triangular arrays, often associated with Pascal's triangle. It is named after the Chinese mathematician Jia Xian from the 11th century, who is credited with early formulations of combinatorial mathematics and binomial coefficients.
Kazuoki Azuma is not a widely recognized figure in public domains such as entertainment, politics, or science as of my last knowledge update in October 2023. It is possible that Kazuoki Azuma could be a person related to a niche field, a private individual, or someone who has gained prominence after that time.
Frank–Van der Merwe growth refers to a model of crystal growth, specifically describing the process of how materials grow in a layered fashion, especially in the context of thin films and semiconductor crystals. This growth mode is named after the researchers who contributed to its development, Frank and Van der Merwe. In this model, the growth of the film occurs through a process called "layer-by-layer" growth, or more specifically, "two-dimensional nucleation.
"Computing for All" refers to initiatives and movements aimed at making computer science education and digital skills accessible to a broader audience, regardless of age, background, or socioeconomic status. The objective is to bridge the gap in technology literacy and ensure that everyone, including underrepresented groups, has the opportunity to learn computing skills.
Hector is a microcomputer that was developed in the early 1980s in the United Kingdom, targeting the educational market. It was designed by a company called Hector Computers Limited and was notable for its use in schools to teach programming and computer literacy. The system featured a Zilog Z80 microprocessor and came with a range of software, including educational applications and programming tools.
Pan Chengdong is a name that may refer to a few different things depending on the context. However, if you were referring to an individual, as of my last update, there is no widely known public figure or concept by that name in popular culture or academia. It's possible that Pan Chengdong could be a name of a person in specific local contexts, such as a professional, an artist, or a notable figure in a certain field or region.
R. Ranga Rao (Raghava Rao Ranganathan) is an Indian mathematician known for his contributions to various fields in mathematics, particularly in the areas of number theory and finite fields. His work has had significance in combinatorial design theory and coding theory. Ranga Rao has contributed to mathematical research through publications and has been involved in academic activities, mentoring students, and promoting mathematical education. His research interests have also extended into applications of mathematics in computer science and engineering.

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 5. . 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.
  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