Algorithmic transparency refers to the extent to which the operations and decisions of algorithms (especially those used in artificial intelligence and machine learning) can be understood by humans. It involves making the inner workings and decision-making processes of algorithms visible and comprehensible to stakeholders, including users, developers, and regulatory bodies. Key aspects of algorithmic transparency include: 1. **Interpretability**: The ability to explain how and why an algorithm reaches a specific decision or output.
An aliquot sequence is a mathematical sequence that begins with a positive integer and continues by repeatedly taking the sum of its proper divisors (the divisors excluding the number itself). Proper divisors are the numbers that divide the original number evenly, apart from the number itself. The sequence can be described as follows: 1. Start with a positive integer \( n \). 2. Find the proper divisors of \( n \) and sum them to get a new number \( a_1 \).
Anamorphism is a concept from the field of computer science, particularly in the context of functional programming and type theory. It refers to a way of defining and working with data structures that can be "unfolded" or generated from a more basic form, as opposed to "catamorphism," which refers to ways of processing data structures, generally involving a "folding" or reducing operation. In simpler terms, an anamorphism is a function that produces a potentially infinite structure.
"American historians of mathematics" refers to historians in the United States who study the development, context, and impact of mathematics throughout history. This field encompasses a variety of topics, including the evolution of mathematical concepts, the contributions of particular mathematicians, the history of mathematical education, and the social and cultural factors influencing mathematics. Key aspects of this field include: 1. **Research and Publications**: American historians of mathematics produce scholarly work that may include books, journal articles, and conference papers.
As of my last update in October 2021, Anamaría Font does not appear to be a widely recognized individual, brand, or term in major public domains. It's possible that Anamaría Font could refer to a person who has become notable after that date or it may pertain to a specific context that is not broadly known.
As of my last update in October 2023, there is no widely recognized figure or entity specifically called "Ana Carpio." It's possible that Ana Carpio could refer to a person who may not be widely known, a character in a work of fiction, or a term related to a specific context not widely recognized.
András Gyárfás is a Hungarian mathematician known for his contributions to combinatorial geometry and graph theory. He has published numerous papers and is recognized for his work in areas such as extremal combinatorics and the study of geometric configurations. Gyárfás has also been involved in various collaborative research projects and has organized conferences related to mathematics.
Andrew J. Baker could refer to multiple individuals or topics depending on the context. Without additional specifications, it's difficult to pinpoint exactly what you're asking about. 1. **Individual**: Andrew J. Baker may refer to a person, possibly a professional in fields such as academia, business, or another area. 2. **Literature or Media**: The name could be related to an author, character, or creator associated with a particular work of literature or media.
Dror Bar-Natan is a mathematician known for his contributions to various fields, particularly in topology and knot theory. He has worked on topics such as the relationship between quantum field theory and low-dimensional topology, as well as developing the theory of "Khomology" which relates to invariants of knots and links. He is also recognized for his involvement in mathematics education and outreach. In addition to his research work, Bar-Natan has contributed to the mathematical community through teaching and academic publications.
Garrett Cullity is a philosopher known for his work in moral philosophy, particularly in the areas of ethics and philosophy of action. He has contributed to discussions on the nature of moral responsibility, the justification of moral claims, and the implications of moral values on human behavior. Cullity is often associated with analyses of moral reasons and ethical theories, exploring how they apply to practical situations.
Anne Greenbaum is a notable figure in the field of applied mathematics, particularly known for her work in numerical analysis and scientific computing. She has contributed to various areas, including numerical methods for differential equations and numerical linear algebra.
An antibonding molecular orbital is a type of molecular orbital that is formed when atomic orbitals combine in a way that leads to a destabilizing interaction between the bonded atoms. These orbitals are higher in energy than the atomic orbitals from which they are formed.
Randomness has a wide array of applications across various fields and disciplines. Here are some of the key applications: 1. **Cryptography**: Random numbers are essential for secure encryption methods. They are used to generate keys, nonces, and initialization vectors, ensuring the security of communications and data. 2. **Statistics**: Random sampling is used to obtain representative samples from a population, critical for surveys and experiments to ensure unbiased results and valid conclusions.
Fungal DNA barcoding is a method used to identify and classify fungal species based on specific sequences of DNA that are unique to each species. The technique typically employs short, standardized regions of the genome, known as barcode regions, which can be amplified and sequenced to provide a "fingerprint" for each fungal organism.
In music, articulation refers to the way in which notes are played or sung, particularly in terms of their attack, duration, and decay. It essentially describes how individual notes are expressed and connected to one another, affecting the overall phrasing and emotional impact of the performance. Different types of articulation include: 1. **Staccato**: Notes are played in a short, detached manner, creating a crisp, playful sound.

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