Actuarial science is a discipline that applies mathematical and statistical methods to assess risk in insurance, finance, and other industries. It involves the evaluation of financial risks using mathematics, statistics, and financial theory, particularly in relation to uncertain future events. Actuaries use their expertise to analyze data and develop models that help organizations make informed decisions regarding risk management and financial planning. This includes roles such as: 1. **Insurance**: Designing insurance policies, calculating premiums, and assessing the likelihood of claims.
Cryptography standards refer to the set of guidelines and protocols established to ensure secure communication and data protection practices in various systems and applications. These standards are crucial for the development, implementation, and usage of cryptography to ensure interoperability, security, and reliability across different platforms and services. They are designed to safeguard data confidentiality, integrity, authenticity, and non-repudiation.
Nia Imara is an artist and writer known for her work that often explores themes related to identity, culture, and the African diaspora. She combines various mediums, including painting and writing, to express her perspectives on race and social issues. Imara’s work frequently draws inspiration from her own background and experiences, and she aims to create narratives that amplify underrepresented voices.
Multicast encryption is a technique used to secure multicast communications, which involve sending data to multiple recipients simultaneously. Multicast is commonly used in applications such as streaming media, video conferencing, and other scenarios where the same data needs to be sent to multiple users at once. ### Key Concepts: 1. **Multicast Communication**: This is a method where a single message is sent from one sender to multiple recipients.
The ADA (Axion Detection Apparatus) collider refers to a research setup designed to search for axions, which are hypothetical particles suggested by some theories of particle physics. These particles are thought to be candidates for dark matter and might also play a role in explaining certain unresolved issues in particle physics and cosmology, such as the strong CP problem. The ADA collider works by colliding particles at high energies to potentially produce axion-like particles or to detect their interactions.
"De prospectiva pingendi" is a work by the Italian Renaissance artist and theorist Piero della Francesca. The title translates to "On the Perspective of Painting." This treatise is notable for its exploration of linear perspective and its application in painting, reflecting the mathematical approach that artists of the time were beginning to adopt.
An adaptive algorithm is a type of algorithm that adjusts its parameters or structure in response to changes in the environment or the data it is processing. The key characteristic of adaptive algorithms is their ability to modify their behavior based on feedback or new inputs, allowing them to optimize performance over time or under varying conditions. ### Key Features of Adaptive Algorithms: 1. **Flexibility**: They can adjust to new data patterns or dynamic environments.
"Divina proportione," or "Divine Proportion," refers to the mathematical ratio often identified with the golden ratio, approximately equal to 1.618. This ratio has been studied for its aesthetic properties and is frequently associated with art, architecture, and nature. The golden ratio is typically denoted by the Greek letter Phi (Φ). The term "Divina proportione" is also the title of a treatise written by the Italian mathematician Luca Pacioli in 1509.
Key management refers to the processes and systems involved in managing cryptographic keys for a cryptographic system. It encompasses the generation, distribution, storage, use, rotation, and destruction of keys throughout their lifecycle. Key management is critical for maintaining the security and integrity of data, particularly in encryption and digital signature systems. Here are some key elements of key management: 1. **Key Generation**: Creating cryptographic keys securely using strong algorithms and entropy sources to ensure randomness and security.
The National Security Agency (NSA) is a U.S. government agency primarily responsible for signal intelligence and information assurance. When referring to "NSA cryptography," it typically involves the cryptographic practices, algorithms, and systems developed or endorsed by the NSA to secure sensitive information and communications. Here are some key points about NSA cryptography: 1. **Development and Influence**: The NSA has been involved in the development of various cryptographic standards and algorithms, including those used for encryption and secure communications.
"A Defence of Common Sense" is a philosophical work written by the Scottish philosopher Thomas Reid, published in 1764. Reid was a prominent figure in the Scottish Enlightenment and a founder of the Scottish school of common sense philosophy. In this work, he defends the principles of common sense against the skepticism and idealism prevalent in the philosophy of his time, particularly in response to the works of philosophers like David Hume.
A Quincunx matrix refers to a specific arrangement of points or elements that resemble the pattern of a quincunx, which is a graphical representation typically characterized by five points placed in a square or rectangle, with four points at the corners and one point in the center. However, the term can also relate to real-valued matrices used in specific mathematical contexts, such as statistics or probability.
CECPQ1 stands for "Commendable Encryption for Classical Public Key Quantum-resistant" and is a key exchange mechanism designed to be secure against potential future attacks by quantum computers. Specifically, CECPQ1 is developed to be used in scenarios where both classical and quantum-resistant security are required.
Symmetric-key cryptography, also known as secret-key cryptography, is a type of encryption where the same key is used for both encryption and decryption of data. In this system, both parties involved in communication share a common key, which must remain confidential between them. ### Key Characteristics: 1. **Single Key**: Only one key is used for both encrypting and decrypting messages. This makes it efficient in terms of performance.
A disappearing number is a number that, when its digits are manipulated in a specific way, results in the original number disappearing or becoming zero. One common example is **the number 4**, where if you write it down and then subtract half of it (which is 2), you end up with 2.
Guillermo Martínez is an Argentine writer and mathematician, born on February 29, 1962. He is known for his works of fiction that often explore the intersections of literature, mathematics, and philosophy. Martínez's writing frequently delves into themes such as the nature of reality, the complexity of human relationships, and the philosophical implications of mathematical concepts.
Bitwarden is an open-source password manager designed to help users securely store, manage, and share their passwords and other sensitive information. It allows individuals and organizations to generate strong passwords, and store them in an encrypted vault, accessible across various devices, including desktop computers and mobile phones. Key features of Bitwarden include: 1. **Password Generation**: Bitwarden can create strong, random passwords to enhance security.
In the context of cryptography, an **accumulator** is a cryptographic primitive that allows one to succinctly represent a set of elements such that one can later prove that a specific element is part of that set, without revealing the entire set or requiring its explicit enumeration. Accumulators are primarily used in scenarios where privacy and efficiency are important, such as in zero-knowledge proofs, digital signatures, and secure multi-party computations.

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