The term "empty type" can refer to different concepts depending on the context, particularly in programming languages and type theory. Here are two common interpretations: 1. **In Type Theory and Programming Languages**: - An empty type, often called the "bottom type," is a type that has no values. It serves as a type that cannot be instantiated. In many programming languages, it is used to represent a situation where a function or operation can never successfully yield a value.
An Event-Driven Finite-State Machine (EDFSM) is a computational model that describes how a system transitions between different states in response to certain events or inputs. This model is particularly useful for designing systems where behavior can be defined in terms of discrete states and specified actions based on events. ### Key Concepts: 1. **Finite State Machine (FSM)**: - An FSM consists of a finite number of states, transitions between those states, and actions that may be triggered by transitions.
Exact quantum polynomial time (EQP) is a complexity class that relates to quantum computing. It consists of decision problems that can be solved by a quantum computer in polynomial time with a high degree of certainty. Specifically, EQP represents the set of problems for which there exists a quantum algorithm that can provide the correct answer with certainty (i.e., with probability 1) within a time that is polynomial with respect to the size of the input.
As of my last knowledge update in October 2023, Muhammad Imran Qadir does not appear to be a widely recognized public figure. There may be individuals with that name in various fields or regions, but without additional context—such as their profession, notable achievements, or specific area of expertise—it's difficult to provide a precise answer.
As of my last update in October 2023, Nicholas C. Handy is not a widely recognized public figure or a notable topic in mainstream media. It is possible that he is a professional, academic, or a figure in a specialized field who may not have widespread recognition. If you have specific context or details regarding Nicholas C.
Paul von Ragué Schleyer is a prominent mathematician known for his contributions to various fields, particularly in complex analysis and mathematical logic. He has published numerous papers and works on topics such as differential equations, functional analysis, and mathematical education. Additionally, he may be associated with mathematical organizations and societies, contributing to the development of the field through research, teaching, and mentorship.
Péter Surján is a Hungarian mathematician known for his contributions to combinatorics, particularly in the areas of graph theory and discrete mathematics. He has worked on various topics, including extremal graph theory, and has published numerous research papers in reputable mathematical journals.
Werner Kutzelnigg is a prominent physicist known for his work in quantum chemistry and theoretical chemistry, particularly in the development of methods for electronic structure theory. He has made significant contributions to the understanding of correlated electron systems and has been involved in advancements in computational methods for studying molecular systems. His research often focuses on the implications of electron correlation in various chemical contexts.
William Moffitt may refer to different individuals, depending on the context, as it is not an unusually unique name. Without specific context, it is difficult to provide precise information. If you're referring to a notable person, it could be someone involved in academia, arts, business, or another field. For example, there could be a researcher or an author by that name, or it might refer to someone notable in a specific local context.
Logic for Programming, Artificial Intelligence, and Reasoning (LPAR) is a field that combines elements of mathematical logic, computer science, and artificial intelligence. The goal of LPAR is to apply logical principles and techniques to enhance the processes of programming, facilitate reasoning in AI systems, and improve automated decision-making.
In computational complexity theory, **ALL** (short for "All Problems in P") is a class of decision problems that can be polynomially reduced to every problem in the class NP (nondeterministic polynomial time).
A generalized game refers to a theoretical framework that extends classic game theory concepts to encompass a broader variety of scenarios, strategies, and player interactions. In traditional game theory, games are often classified into specific types such as cooperative vs. non-cooperative games, zero-sum vs. non-zero-sum games, and symmetric vs. asymmetric games. Generalized games, however, aim to include more complex interactions and allow for a wider range of strategic approaches.
Call-by-push-value is a programming language evaluation strategy that combines elements of both call-by-value and call-by-name, providing a unified framework for reasoning about function application and argument evaluation. It was introduced by Philip Wadler in the context of functional programming languages. ### Key Concepts 1. **Separation of Values and Thunks**: - **Values**: These are the final evaluated results, which can be passed around and used in computations.
In computational complexity theory, the counting problems refer to those that deal with counting the number of solutions to a decision problem rather than simply determining whether at least one solution exists. These problems are often associated with classes of problems in the complexity hierarchy, such as \(\#P\), which is the class of counting problems related to nondeterministic polynomial time (NP) problems. ### Key Concepts: 1. **Decision Problems vs.
Electronic Proceedings in Theoretical Computer Science refers to the online publication of research papers, articles, and other scholarly contributions presented at conferences and workshops within the field of theoretical computer science. These proceedings serve as a medium to disseminate research findings quickly and widely, allowing researchers to access and cite the latest developments in the domain.
A **mobile automaton** (often abbreviated as "MA") is a theoretical computational model used primarily in the study of automata theory and cellular automata. Unlike traditional automata, such as finite state machines or pushdown automata, a mobile automaton consists of a collection of independent agents (or "particles") that can move across a discrete space (often represented as a grid or lattice).
Umesh Vazirani is a prominent computer scientist known for his work in theoretical computer science, particularly in the fields of quantum computing and complexity theory. He is a professor at the University of California, Berkeley, and has made significant contributions to our understanding of quantum algorithms and the theoretical foundations of quantum computation. Vazirani is also known for his work on classical and quantum complexity classes, and he has co-authored influential papers and books in the field.
Set constraints are a type of mathematical or computational constraint involving sets, often used in various fields such as set theory, computer science, logic, and optimization. In essence, they express relationships and restrictions imposed on sets of elements based on certain properties or operations. Here are several contexts in which set constraints might be discussed: 1. **Set Theory**: In mathematical contexts, set constraints can involve defining specific conditions that the elements of a set must satisfy.
The Von Neumann neighborhood is a concept used in cellular automata and mathematical modeling, particularly in the context of grids or lattice structures. It describes a specific way to determine the neighboring cells surrounding a given cell in a two-dimensional grid. In the Von Neumann neighborhood, each cell has four direct neighbors, which are positioned vertically and horizontally adjacent to it.

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