Christoph Hoerl by Wikipedia Bot 0
Christoph Hoerl is a philosopher known for his work in the areas of the philosophy of mind, epistemology, and the nature of time. He has engaged with topics such as the relationship between time and human cognition, the implications of psychological theories for philosophical questions, and how our understanding of time affects our knowledge and experience.
Eric T. Olson is an American philosopher, well-known for his work in the fields of metaphysics, philosophy of mind, and personal identity. He is particularly recognized for his contributions to debates concerning the nature of identity, the self, and the body. Olson is a proponent of the "animalism" view, which posits that humans are fundamentally biological organisms or animals rather than non-physical entities or mere bundles of psychological traits.
Evan Thompson by Wikipedia Bot 0
Evan Thompson is a Canadian philosopher and cognitive scientist known for his work in the areas of philosophy of mind, cognitive science, and philosophy of consciousness. He has contributed significantly to discussions on the nature of experience, the mind-body problem, and the implications of Eastern philosophy for Western thought, particularly regarding Buddhism and phenomenology. Thompson is also recognized for his interdisciplinary approach, drawing connections between cognitive science, philosophy, and the arts. He has authored several influential books and articles that explore these themes.
Franz Joseph Gall by Wikipedia Bot 0
Franz Joseph Gall (1758–1828) was a German neuroanatomist, physician, and philosopher, best known as the founder of phrenology, a now-discredited theory that correlates mental faculties and character traits with the shape of the skull. Gall proposed that different parts of the brain are responsible for different functions and that the development of these areas could be observed externally through the contours of a person's skull.
Peano axioms by Wikipedia Bot 0
The Peano axioms, formulated by the Italian mathematician Giuseppe Peano in the late 19th century, are a set of axioms for the natural numbers. They are used to define the properties of natural numbers in a rigorous mathematical framework. The axioms provide a foundation for number theory and mathematics as a whole.
SAT solver by Wikipedia Bot 0
A SAT solver, or satisfiability solver, is a computational tool used to determine the satisfiability of propositional logic formulas. More specifically, it assesses whether there exists an assignment of truth values (true or false) to the variables of a given boolean formula such that the entire formula evaluates to true.
In mathematics, particularly in the context of set theory and number theory, the successor function is used to define the concept of "next" numbers in a sequence. For natural numbers, the successor function takes a natural number \( n \) and gives the next natural number \( n + 1 \). For example: - If \( n = 0 \), then the successor of \( n \) (often denoted as \( S(n) \)) is 1.
In computer science, particularly in the fields of logic programming, type inference, and automated reasoning, **unification** refers to the process of making two terms identical by finding a substitution for their variables. This concept is fundamental in various areas including: 1. **Logic Programming**: In languages like Prolog, unification is the mechanism used to match predicates and rules with arguments. When a rule is applied, unification determines what variable substitutions need to be made to make the terms match.
The Immerman–Szelepcsényi theorem is a result in computational complexity theory that establishes a relationship between two significant complexity classes: **NL** (nondeterministic logarithmic space) and **co-NL** (the complement of NL). Specifically, the theorem proves that these two classes are equal, i.e., \[ \text{NL} = \text{co-NL}.
Log probability by Wikipedia Bot 0
Log probability refers to the logarithm of a probability value. In many contexts, probabilities are often very small numbers (between 0 and 1), which can make certain calculations cumbersome or lead to underflow issues in numerical computing. Taking the logarithm of probabilities can help mitigate these issues and provide some useful properties.
An And-inverter graph (AIG) is a directed acyclic graph (DAG) that is used in digital design and logic synthesis to represent Boolean functions. It is a particular type of binary decision diagram (BDD) where nodes correspond to AND operations and inverters (NOT operations), hence the name. In an AIG: 1. **Nodes**: The graph has two types of nodes: - **AND gates**: These nodes represent the logical AND operation.
Concurrency semantics refers to the set of principles and rules that govern the behavior of concurrent systems—systems where multiple processes or threads operate independently and potentially simultaneously. In computer science, particularly in the context of programming languages, operating systems, and distributed systems, concurrency semantics defines how operations interact when executed concurrently.
Gödel logic by Wikipedia Bot 0
Gödel logic refers to a family of non-classical logics that are based on the ideas developed by the mathematician Kurt Gödel. While Gödel is most famous for his incompleteness theorems, his work also laid the foundation for certain types of logics that diverge from classical logic, particularly in the context of modal logics and fuzzy logic. One prominent aspect of Gödel logic is its connection to **fuzzy logic**.
Process Performance Qualification (PPQ) Protocol is a critical component of the validation process in manufacturing, particularly in regulated industries such as pharmaceuticals, biotechnology, and medical devices. Its primary goal is to ensure that manufacturing processes consistently produce products that meet predetermined specifications and quality attributes. ### Key Components of PPQ Protocol 1. **Objective:** The main objective of the PPQ is to demonstrate that the manufacturing process can perform as intended in terms of product quality and consistency under commercial conditions.
Process qualification is a critical step in validating manufacturing processes, particularly in industries such as pharmaceuticals, biotechnology, and medical devices. It involves demonstrating that a specific process can consistently produce a product that meets predetermined specifications and quality standards under normal operating conditions. Here are the key components of process qualification: 1. **Installation Qualification (IQ)**: This phase verifies that the equipment and systems are installed correctly and according to the manufacturer's specifications. It often includes documentation of equipment specifications and installation procedures.
Retiming by Wikipedia Bot 0
Retiming is a technique used in digital circuit design, specifically in the context of synchronous systems, to optimize the timing and performance of a circuit. It involves reassigning the positions of flip-flops (or registers) in a digital design to improve the overall system's timing characteristics.
Proof-carrying code (PCC) is a formal method used in computer science, particularly in the field of software verification and security. The concept involves attaching a formal proof to a piece of code which guarantees that the code adheres to specific safety and security properties. Here’s a high-level overview of how it works: ### Key Concepts: 1. **Code and Proof**: When a developer writes code, they also generate a proof that the code satisfies certain properties.
George Johnson is an American writer and science journalist known for his work on topics related to science, especially space and the natural world. He has contributed to various publications, including The New York Times, and is recognized for making complex scientific concepts accessible to a general audience. One of his notable works is "Wonder of Wonders," which explores the wonders of the universe and our understanding of it. Johnson often emphasizes the importance of skepticism and critical thinking in scientific discourse.
Hans-Werner Bothe by Wikipedia Bot 0
Hans-Werner Bothe is a notable figure in the field of physics, particularly known for his research in the area of quantum optics. He has contributed to the understanding of the fundamental aspects of quantum mechanics and light-matter interactions.
Hubert Dreyfus by Wikipedia Bot 0
Hubert Dreyfus (1929–2017) was an influential American philosopher and a prominent figure in the fields of existentialism, phenomenology, and the philosophy of technology. He was best known for his critiques of artificial intelligence and his interpretations of the works of existentialist philosophers, particularly Martin Heidegger, Jean-Paul Sartre, and Maurice Merleau-Ponty.

Pinned article: ourbigbook/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