F.H. Bradley, or Francis Herbert Bradley (1846-1924), was a British philosopher and one of the leading figures of the British idealism movement. He is best known for his work in metaphysics, ethics, and the philosophy of religion. Bradley's most significant contributions include his critiques of individualism and empiricism, as well as his advocacy for a holistic view of reality, which he articulated in his major works, such as "Appearance and Reality" (1893).
Bioelectromagnetics is an interdisciplinary field that studies the interactions between electromagnetic fields and biological systems. It encompasses the understanding of how electromagnetic fields (EMFs) influence biological processes and the underlying mechanisms of these interactions. This field covers various types of electromagnetic radiation, including radiofrequency, microwave, and extremely low-frequency fields. Research in bioelectromagnetics can involve: 1. **Cellular Effects**: Investigating how EMFs affect cellular processes, including cell signaling, growth, and differentiation.
Gecko feet refer to the specialized structures found on the feet of geckos, which are a group of lizards known for their ability to climb and adhere to various surfaces. The remarkable adhesive capabilities of gecko feet are largely due to their unique toe pads, which are covered in millions of tiny hair-like structures called setae. Each seta branches into even smaller structures called spatulae, which increase the surface area available for interaction with surfaces at the molecular level.
Protein–protein interaction (PPI) refers to the physical contacts between two or more protein molecules as a result of biochemical events and/or electrostatic forces. These interactions are crucial for almost every biological process in cells, including enzyme activity, signaling pathways, structural integrity, immune responses, and regulatory mechanisms. PPIs can be transient or stable and can occur in various forms, such as: 1. **Homomeric Interactions**: Involves interactions between identical proteins.
A slip bond is a type of adhesive bond formed between two surfaces that allows for relative motion or sliding between them under certain conditions. Unlike traditional bonds, which are designed to maintain a strong connection, slip bonds are often used in applications where some level of movement or flexibility is required.
Victor Pan could refer to different individuals or entities, depending on the context. If you are referring to a specific person, such as a professional in a particular field, an artist, or someone notable in news or pop culture, please provide more context or details.
Stefan Szeider is a computer scientist known for his work in the fields of algorithmic graph theory, optimization, and parameterized complexity. He has made significant contributions to understanding the complexity of various computational problems, particularly in relation to graph structures. His research often focuses on developing algorithms that tackle NP-hard problems and exploring the interplay between algorithmic techniques and theoretical computer science.
Subhash Khot is a prominent theoretical computer scientist known for his contributions to complexity theory and approximation algorithms. He is a professor at New York University and has conducted significant research in areas such as hardness of approximation, interactive proof systems, and the development of algorithms. He is particularly recognized for his work on the PCP theorem (Probabilistically Checkable Proofs) and for advances in the field of quantum computing.
Tobias Nipkow was a German engineer and inventor, best known for his pioneering work in the development of early television technology. Born on August 12, 1884, he created the "Nipkow disk," a mechanical device used in the first experimental television systems. The Nipkow disk was a rotating disk with a series of holes arranged in a spiral pattern, allowing for the scanning of images.
Uwe Schöning is a notable figure in the field of computer science, particularly known for his contributions to theoretical computer science and automata theory. He is recognized for his work on formal languages and algorithms. Schöning is also affiliated with various academic institutions and has authored significant research papers, textbooks, and articles in the realm of computer science education and theory.
Victor Shoup is a prominent figure in the field of computer science, particularly known for his contributions to cryptography. He is recognized for his work on various cryptographic algorithms and protocols, as well as for his contributions to the theoretical underpinnings of cryptography. Shoup has been involved in academic research and has published numerous papers on topics such as digital signatures, encryption schemes, and security assumptions in cryptographic systems.
Yossi Matias is a prominent figure in the field of computer science and artificial intelligence, particularly known for his work with Google. He has made significant contributions to various areas, including machine learning and natural language processing. Matias has held leadership roles within Google, overseeing research initiatives and the development of technologies that leverage AI to improve user experiences and enhance product capabilities.
A **computably enumerable (c.e.) set**, also known as a recursively enumerable set, is a fundamental concept in computability theory and mathematical logic. A set \( S \) of natural numbers is considered computably enumerable if there is a Turing machine that can enumerate the elements of \( S \). This means that: 1. There exists a Turing machine which, when run, will output the members of \( S \) one by one, possibly with repetitions.
Computation in the limit is a concept from theoretical computer science and formal language theory. It typically refers to processes or systems that are defined to converge to a result over time as they perform a computation. In the context of formal definitions, particularly in computability theory, computations can be framed in terms of sequences of steps that gradually approach a solution or a final outcome.
A **general recursive function** refers to a function that is defined in a way that allows it to call itself (i.e., recursion) as part of its definition. This concept is a fundamental idea in the field of computer science, particularly in the study of algorithms and computability theory. **Key aspects of general recursive functions include**: 1. **Base Case**: Like any recursive function, a general recursive function must have at least one base case that allows the function to terminate.
Gödel numbering is a formal method introduced by the mathematician Kurt Gödel in his groundbreaking incompleteness theorems. It assigns a unique natural number to each symbol and well-formed formula in a formal mathematical language, allowing statements about these formulas to be expressed as statements about numbers. The process works as follows: 1. **Assign Numbers to Symbols**: Each basic symbol in the formal language (like logical operators, variables, parentheses, etc.) is assigned a distinct natural number.
The fields of computability and complexity are rich with various topics that explore the limits of computation and the classification of problems based on their inherent difficulty. Here’s a comprehensive list of topics associated with these fields: ### Computability Theory Topics 1. **Turing Machines**: The foundational model of computation. 2. **Recursive Functions**: Functions computable by an algorithm, including primitives and general recursive functions.

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