Joel Tropp is a professor of electrical engineering and computer science at the California Institute of Technology (Caltech). He is known for his work in the fields of discrete mathematics, optimization, and theoretical computer science. His research has focused on topics such as algorithms, graph theory, and applications of these areas in various scientific and engineering problems.

Antony Jameson is a notable figure in the fields of computational fluid dynamics (CFD) and applied mathematics. He is particularly recognized for his contributions to the development of numerical methods for the simulation of fluid flows, particularly in aerospace applications. Jameson's work often focuses on the development of efficient algorithms for solving the Navier-Stokes equations, which govern the behavior of fluid motion.

As of my last update in October 2023, Laura Grigori does not appear to be a widely recognized figure in public discourse, academia, or any popular culture references. It is possible that she could be a private individual, an emerging public figure, or someone associated with a specific niche or field that hasn't achieved widespread attention. If you provide more context or specify a particular area (e.g.

CP/M, which stands for Control Program for Microcomputers, is an operating system that was widely used in the late 1970s and early 1980s for early microcomputers. Developed by Gary Kildall of Digital Research, CP/M served as a platform that enabled the execution of software applications on microcomputers based on Intel architecture, particularly those using the 8080 and Z80 processors.

An anonymous remailer is a service that allows users to send emails without revealing their identity or the origin of the message. When a user sends an email through an anonymous remailer, the service strips the original sender's information (like the email address and IP address) and typically replaces it with the remailer's own address or anonymizes the information. This process helps to protect the sender's privacy and anonymity.

Ciphertext expansion refers to the phenomenon where the size of the ciphertext (the encrypted output) is larger than the size of the plaintext (the original message) after a cryptographic operation is performed. This typically occurs in various encryption algorithms and can be a result of several factors: 1. **Padding**: Many encryption algorithms, particularly block ciphers, require the plaintext to be a specific size (often a multiple of a certain block size).

Holography is a technique that captures and reproduces three-dimensional images using the interference of light waves. Its history can be traced through several key developments: ### 1. Early Concepts (Late 19th Century) - **Maxwel's Equations (1865)**: These equations described the behavior of electromagnetic waves, laying the groundwork for the manipulation of light.

In cryptography, **completeness** often refers to a property of certain cryptographic protocols or systems, particularly in the context of zero-knowledge proofs and interactive proof systems. A protocol or system is said to be complete if, when the statement being proven is true, an honest prover can convince an honest verifier of that truth with high probability.

A statite is a theoretical concept referring to a type of spacecraft or platform designed to remain stationary over a specific point on a planet or moon, using advanced technology like energy-harvesting systems to counteract gravitational forces. The term is derived from "stationary satellite," and it is often discussed in the context of planetary exploration or for potential uses in spaces such as asteroid mining or long-term scientific observation.

A **cryptographic nonce** (short for "number used once") is a unique value that is used in cryptographic communications to ensure that certain operations cannot be repeated or replayed. Nonces are typically used in various contexts such as encryption, authentication, and secure communication protocols.

A cryptosystem is a framework that utilizes cryptographic algorithms for securing information through techniques such as encryption and decryption. It enables the protection, authentication, and integrity of data by transforming readable data (plaintext) into an unreadable format (ciphertext) using a cryptographic key and a specific algorithm. The main components of a cryptosystem typically include: 1. **Plaintext**: The original readable data that needs to be protected.

The history of probability spans several centuries and reflects the development of mathematical thought, games of chance, and scientific inquiry. Here's an overview of key milestones in the evolution of probability theory: ### Ancient and Medieval Periods - **Gambling Origins:** The origins of probability are often linked to gambling and games of chance. Ancient civilizations, including the Egyptians, Greeks, and Romans, engaged in games involving dice and other forms of chance.

A designated verifier signature is a cryptographic concept that allows an individual to create a digital signature that can be validated by a specific set of recipients or a particular verifier, rather than being publicly verifiable. This contrasts with traditional digital signatures, where anyone with access to the signature and the original data can verify its authenticity.

Format-Preserving Encryption (FPE) is a type of encryption that allows the encryption of data while preserving its original format. This means that the output ciphertext has the same structure and characteristics as the plaintext data, which can be particularly useful for integrating encryption into existing systems that expect certain data formats. For example, if you're encrypting a Social Security Number (SSN), using FPE would allow you to obtain a ciphertext that still looks like a valid SSN (i.e.

An automaton (plural: automata) is a mathematical model that represents a system capable of performing a sequence of operations or actions automatically. Automata theory is a central area in computer science and formal language theory, focusing on the properties and behaviors of these abstract machines. There are different types of automata, including: 1. **Finite Automata**: These are the simplest type of automata, characterized by a finite number of states.

The one-time pad (OTP) is a theoretically unbreakable encryption technique that uses a key that is as long as the message being encrypted. Here are key characteristics and principles behind the one-time pad: 1. **Key Usage**: In the one-time pad, a random key or "pad" is generated. This key must be statistically random, as long as the message, and used only once.

A passphrase is a type of password that typically consists of a sequence of words or a longer string of characters that create a more complex and secure form of authentication. Passphrases are usually longer than traditional passwords, making them more resistant to brute-force attacks. For example, instead of using a single word or a short combination of letters and numbers, a passphrase might be something like "SkyBlueElephantDances123!" or "ToBeOrNotToBeThatIsTheQuestion".

Proof of personhood is a concept related to verifying the identity of an individual in various contexts, particularly in the realms of technology and online interactions. It aims to establish that a user is a human being rather than a bot or automated system, thereby ensuring authenticity in digital transactions, voting, and other online activities where human identity is critical. The idea is significant in the context of blockchain and decentralized systems, where traditional forms of identity verification might be less suitable.

The Red/Black concept typically refers to a type of self-balancing binary search tree in computer science known as a Red-Black Tree. Red-Black Trees are used to maintain a dynamic set of sorted data and allow for efficient insertions, deletions, and lookups. ### Properties of Red-Black Trees: 1. **Red/Black Nodes**: Each node in the tree is colored either red or black. 2. **Root Property**: The root node is always black.

The term "security level" can refer to various contexts depending on the field of application. Here are a few common interpretations: 1. **Information Security**: In the context of information security, security levels determine the degree of protection applied to information or systems. Different classification levels (such as confidential, secret, and top secret) indicate the sensitivity of information and dictate how it should be handled, accessed, stored, and transmitted.