As of my last knowledge update in October 2023, Ting-Kuo Lee is a recognized figure in the field of academia, particularly in relation to research and pedagogy.
İsmail Hakkı Duru is a Turkish name, but there is limited publicly available information about a notable individual by that name. It is possible that he could be a private individual, a local figure, or someone not widely recognized in major media or academic sources.
Janez Strnad is not a widely recognized name in common knowledge or popular media. It is possible that he could be a private individual, a professional in a specific field, or a lesser-known public figure.
Lavo Čermelj is a Slovenian mathematician known for his contributions to various fields within mathematics, particularly in analysis and topology. He is also notable for his work in educational settings, helping to shape mathematical curriculum and fostering research in Slovenia. His research may focus on topics like real analysis, functional analysis, and mathematical education.
Inertance is a term used in the field of mechanical engineering and dynamics, particularly in systems involving vibrations and dynamic responses. It is analogous to mass in electrical systems and is a measure of the inertia of a system when responding to dynamic inputs, such as forces or accelerations. Inertance can be defined as the ratio of the force applied to a system to the resulting acceleration of that system.
The term "ergosphere" refers to a region around a rotating black hole. In general relativity, the ergosphere is the area outside the event horizon where objects cannot remain in a fixed position due to the intense effects of the black hole's rotation. Within this region, the spacetime is dragged around in the direction of the black hole’s spin, a phenomenon known as "frame dragging.
"Bad Habit" is a song by the British band Foals, featured on their 2022 album titled *Life Is Yours*. The track showcases Foals' signature sound, blending elements of rock and electronic music. With catchy melodies and a driving rhythm, "Bad Habit" explores themes of desire and the complexities of relationships. The song is noted for its energetic instrumentation and reflective lyrics, typical of the band's style.
In the context of formal languages and automata theory, the term "critical exponent" of a word refers to a specific property related to the repetitions of substrings within that word. More formally, for a finite word \( w \), the critical exponent \( e(w) \) is defined as the smallest integer \( n \) such that the word can be represented as the concatenation of \( n \) or more identical blocks. For example, consider the word \( w = aabb \).
Definite Clause Grammar (DCG) is a formalism used in computational linguistics and programming languages to describe the syntax of a language. It is particularly associated with Prolog, a logic programming language, but can also be used in other contexts. Here are some key points about DCGs: 1. **Syntax and Semantics**: DCGs provide a way to define grammars in a manner that is both readable and expressive.
In mathematics, particularly in the context of set theory and relations, the term "maximal pair" may not have a universally defined meaning. However, it can be interpreted in a few different contexts depending on the field of study: 1. **Graph Theory**: In the context of graph theory, a maximal pair can refer to a pair of vertices that have some property (for example, being connected by edges) which cannot be extended by adding more vertices without violating that property.
The Myhill–Nerode theorem is a fundamental result in formal language theory that provides a characterization of regular languages in terms of equivalence relations on strings. It offers a method to determine whether a language is regular and to construct the minimal deterministic finite automaton (DFA) that recognizes a given regular language.
"Proof" and "truth" are concepts often used in various fields, including philosophy, mathematics, logic, and science. Here's a brief explanation of each: ### Proof - **In Mathematics and Logic**: A proof is a rigorous argument that validates the truth of a statement or theorem based on axioms, definitions, and previously established results. It follows a logical structure and often uses deductive reasoning to demonstrate the validity of the conclusion.
Deductive reasoning is a logical process in which a conclusion is drawn from a set of premises or statements that are assumed to be true. It involves starting with general statements or principles and applying them to specific instances to arrive at a conclusion. If the premises are true and the reasoning is valid, then the conclusion must also be true. This type of reasoning is often contrasted with inductive reasoning, which involves drawing general conclusions from specific observations or examples.
A **loop variant** is a concept used in computer science, particularly in the context of program verification and formal methods. It is a condition that helps ensure that a loop terminates successfully and does not run indefinitely. A loop variant is typically a scalar value (it could be an integer or another comparable type) associated with a loop that satisfies two main properties: 1. **Initialization**: The loop variant must be initialized before the loop starts executing.
Thermoporometry and cryoporometry are specialized techniques used to analyze porous materials, particularly in the study of their pore structures, such as pore size distribution and porosity. ### Thermoporometry Thermoporometry involves the analysis of the freezing and melting behavior of liquids (typically water) in the pores of a material. When a liquid is confined in a small pore, its freezing point can be depressed compared to its bulk freezing point due to the effects of confinement and surface interactions.
A Binary Moment Diagram (BMD) is a graphical representation used in structural engineering to illustrate the distribution of bending moments along a structural element, typically a beam or frame. The BMD is particularly useful for visualizing how different loads and support conditions influence the internal moments within the structure.
Hardware Verification Languages (HVLs) are specialized programming languages used to describe and automate the testing and verification of hardware designs, particularly in the context of digital circuit design and integrated circuits (ICs). They enable designers and verification engineers to write testbench code, specify properties, and validate that the design meets its intended functionality and performance before fabrication.
Action Semantics is a formal approach to defining the semantics of programming languages. It was introduced in the late 1980s as a way to provide a more intuitive and flexible framework for understanding the behavior of programs compared to traditional denotational and operational semantics. In Action Semantics, the meaning of a program or a language construct is described in terms of "actions" that represent state changes and the interactions that occur during the execution of a program.

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