A tensor product bundle is a construction in the context of vector bundles in differential geometry and algebraic topology. It combines two vector bundles over a common base space to form a new vector bundle. The definition of a tensor product bundle is particularly useful in various mathematical fields, including representation theory, algebraic geometry, and theoretical physics.
Neil Gershenfeld is an American physicist, computer scientist, and educator known for his work in the field of digital fabrication and the development of the Fab Lab concept. He is a professor at the Massachusetts Institute of Technology (MIT) and the director of the Center for Bits and Atoms, where he focuses on the intersection of physical and digital technology.
Tatung Einstein is a brand of smart home appliances and internet of things (IoT) devices that are designed to integrate advanced technology with everyday household items. The products under the Tatung Einstein brand often include items like smart rice cookers, multi-function cooking devices, and other kitchen gadgets that allow for remote monitoring and control via smartphone applications or cloud services. The focus of Tatung Einstein typically involves combining traditional cooking methods with modern technology, enhancing convenience, efficiency, and connectivity for users.
Cryptographic hardware refers to specialized physical devices designed to perform cryptographic functions and operations securely and efficiently. These devices can be used for various purposes, including secure data encryption and decryption, key generation and management, digital signatures, secure storage, and authentication. Here are some key features and examples of cryptographic hardware: 1. **Security**: Cryptographic hardware is designed to be tamper-resistant and protect cryptographic keys and data from unauthorized access.
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.
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.
Nima Arkani-Hamed is a prominent theoretical physicist known for his contributions to high-energy physics, including string theory, quantum gravity, and fundamental particle physics. Born in 1972, he is a professor at the Institute for Advanced Study in Princeton, New Jersey. Arkani-Hamed has made significant advances in understanding the implications of modern physics, particularly in areas such as large extra dimensions, the holographic principle, and the study of the dynamics of scattering amplitudes in quantum field theory.
The Advanced Encryption Standard (AES) is a symmetric encryption algorithm that is widely used for securing data. It was established by the U.S. National Institute of Standards and Technology (NIST) in 2001 and has become the standard for encrypting sensitive information across various applications, including government, financial, and commercial systems.
In the context of security, particularly in relation to computer and network security, "Blacker" refers to a specific type of secure infrastructure and communication system. The term is most commonly associated with the "Blacker" devices used by the United States Department of Defense (DoD) to protect sensitive information. The primary role of Blacker systems is to serve as a point of demarcation between secure and unsecure networks.
A "Branch number" typically refers to a unique identifier assigned to a specific branch of a bank or financial institution. This number is used to identify the branch for various banking transactions and processes, such as wire transfers, direct deposits, and account management. The structure and format of a branch number can vary by country and institution. In some places, it is also known as a sort code or routing number.
"Bus encryption" typically refers to the process of encrypting data that is transmitted over a system bus. A system bus is a communication pathway that connects various components of a computer or network, allowing them to communicate with one another. This bus can carry a variety of types of data, including instructions, address signals, and data transfer signals.
Mishnat ha-Middot, also known as the "Mishna of Measurements," is a tractate of the Mishnah, which is a foundational text of Jewish oral law. It is part of the order of Nezikin, which deals primarily with civil and tort law. Mishnat ha-Middot focuses specifically on various measurements and dimensions relevant to Jewish law, particularly those pertaining to the Temple in Jerusalem and certain aspects of ritual law.
Enhanced Privacy ID (EPID) is a privacy-preserving technology designed to enable anonymous authentication and secure interactions in various digital environments. It is particularly used in contexts where user identity needs to be protected while still allowing verification of credentials or trustworthiness. Here are some key characteristics and functionalities associated with EPID: 1. **Anonymous Authentication**: EPID allows users to authenticate themselves without revealing their actual identity.
Correlation immunity is a property of Boolean functions, especially relevant in the context of cryptography and block ciphers. A Boolean function's correlation immunity refers to its ability to resist linear and differential cryptanalysis, which are methods used to attack cryptographic systems.
In telecommunications, "Cover" typically refers to the extent to which a network provides signal availability and quality to users within a specific geographic area. It indicates how well a telecommunications service, such as mobile phone coverage or wireless internet service, reaches its intended users. Key aspects of cover in telecommunications include: 1. **Coverage Area**: This defines the geographical area where the network operator can provide service. It may be depicted in maps that show areas of good, fair, and no coverage.
In geometry, a linear space, also known as a vector space, is a fundamental concept in mathematics that involves sets of objects called vectors, which can be added together and multiplied by scalars. The key properties of a linear space include: 1. **Vectors**: Objects that can represent points in space, directions, or other quantities. They can be expressed in various forms, such as coordinates in a Cartesian system.
The correlation between relatives under Mendelian inheritance can be understood through the concept of genetic relatedness, which quantifies the probability that two individuals share alleles inherited from a common ancestor. Mendelian inheritance describes how genes are transmitted from parents to offspring, primarily through dominant and recessive alleles. The degree of genetic relatedness can be expressed as the coefficient of relationship (r), which reflects the probability that two individuals share a certain allele due to their kinship.
Forward anonymity is a concept related to privacy and data protection, particularly within the context of cryptographic systems and communication protocols. It refers to the ability of a system to ensure that past communications or transactions remain private even if a user's current identity is later compromised. In a system exhibiting forward anonymity, if an adversary were to learn a user's current identity or key, they should not be able to retroactively determine the identities or details of past interactions.

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