In the context of theoretical computer science, "electronic notes" typically refer to informal, often collaborative documents or platforms that researchers, students, and practitioners use to communicate ideas, share results, and discuss problems related to the field. Here’s an overview of their significance and usage: 1. **Collaborative Research**: Electronic notes facilitate collaboration among researchers and students, allowing them to share insights, drafts, and findings in real-time.
Finite thickness refers to the concept describing objects or layers that possess a measurable and limited thickness, as opposed to being infinitesimally thin or having negligible thickness. This term is often used in various fields, such as physics, engineering, materials science, and fluid dynamics, to describe layers, films, membranes, or structural elements.
In set theory, "S" is often used as a symbol to represent a set, although it doesn't have a specific meaning on its own. The context in which "S" is used typically defines what set it refers to. For example, "S" might represent the set of all natural numbers, the set of all real numbers, or any other collection of objects defined by certain properties or criteria.
The Generalized star-height problem is a significant question in the fields of automata theory and formal language theory, particularly dealing with regular languages and the expressiveness of various types of grammars and automata. Star height, in this context, refers to a measurement of the complexity of regular expressions based on the number of nested Kleene stars (denoted by the asterisk symbol '*') that are present in the expression.
Kraft Circle, often referred to in the context of networking and professional development, can refer to a group or organization where individuals come together to share knowledge, experiences, and support each other in their personal and professional journeys. The exact definition and purpose may vary depending on the specific context in which "Kraft Circle" is being used, as it may not refer to a universally recognized term.
A funnel cloud is a visible, rotating, funnel-shaped cloud that extends from a thunderstorm and is associated with severe weather conditions, particularly tornadoes. It forms when cool, moist air in the atmosphere rises and meets warm, moist air, creating instability. As the warm air rises, it can begin to rotate, especially if there are wind shear conditions present (differences in wind speed and direction at different altitudes).
Boardsport refers to a category of sports that involve riding on a board of some kind. This typically includes activities such as: 1. **Snowboarding** - Riding down snow-covered slopes on a snowboard. 2. **Surfing** - Riding on ocean waves using a surfboard. 3. **Skateboarding** - Performing tricks and riding on a skateboard, typically on streets or skate parks. 4. **Wakeboarding** - Being towed behind a boat while riding on a wakeboard.
PrecisionFDA is an initiative by the U.S. Food and Drug Administration (FDA) aimed at advancing the science of genomics and improving the use of next-generation sequencing (NGS) in clinical and regulatory settings. Launched in 2015, PrecisionFDA serves as a collaborative platform where researchers, regulatory professionals, and other stakeholders can share and evaluate genomic data, tools, and methods.
The renormalization group (RG) is a mathematical and conceptual framework used in theoretical physics to study changes in a physical system as one looks at it at different scales. It is particularly prominent in quantum field theory, statistical mechanics, and condensed matter physics. The central idea behind the RG is that the properties of a system can change when one changes the scale at which one observes it.
"Meane" can refer to a few different things depending on the context. It could be a misspelling or variation of "mean," which is a mathematical term for the average of a set of numbers. Alternatively, "Meane" might refer to a specific name, place, or concept within a particular cultural or historical context.
The square lattice Ising model is a mathematical model used in statistical physics to understand phase transitions and critical phenomena, particularly in the study of ferromagnetism. It consists of a two-dimensional square grid (lattice) where each site (or node) of the lattice can exist in one of two possible states, typically represented as +1 (spin up) or -1 (spin down).
A Cambodian mat, often referred to as a "krama" in the context of traditional Cambodian textiles, is a type of handwoven mat made from natural fibers, such as reeds or grass. These mats are commonly used in homes for various purposes, including sitting, sleeping, and as decorative items. The crafting of these mats is an integral part of Cambodian culture, with specific techniques and patterns that reflect the country's traditions.
Bucket sort is a sorting algorithm that distributes elements into several "buckets" and then sorts those buckets individually. The basic idea behind bucket sort is to split the input data into a finite number of intervals, or "buckets," and then sort each bucket either using another sorting algorithm (like insertion sort or quicksort) or by recursively applying bucket sort on the contents of that bucket. Finally, the sorted buckets are concatenated to produce the final sorted list. ### How Bucket Sort Works 1.
A **Cartesian tree** is a binary tree that maintains two properties: 1. **Heap Property**: For each node in the tree, the value of the parent node is less than or equal to the values of its child nodes. This makes the Cartesian tree a type of min-heap. 2. **Binary Search Tree Property**: For a given sequence of elements, the Cartesian tree is constructed in such a way that the in-order traversal of the tree will yield the original sequence of elements.
Stochastic thermodynamics is a branch of statistical mechanics that extends classical thermodynamics to systems that are small enough to be influenced by random fluctuations, particularly at the microscopic or nanoscale. It combines principles of thermodynamics with stochastic processes to describe the behavior of systems where thermal fluctuations play a significant role.
The Kramer graph, often referred to as the "K4,4" graph or "Kramer graph," is a specific type of graph used in combinatorial design and graph theory. Here are some key points about the Kramer graph: 1. **Properties**: - The Kramer graph is a bipartite graph, meaning it can be divided into two distinct sets of vertices such that no two vertices within the same set are adjacent.
In topology, the concepts of Urysohn spaces and completely Hausdorff spaces refer to certain separation axioms that describe the ability to distinguish between points and sets within a topological space.
In music theory, a "root" chord refers to a chord that is built on the root note of a scale or key. The root note is the fundamental note upon which the chord is constructed and is typically the lowest note when the chord is played in its root position. For example, in a C major chord, the root note is C. The chord itself consists of the root (C), the third (E), and the fifth (G).
Viktor Kupradze is a name that may refer to various individuals, but it is not widely recognized in popular culture or notable historical contexts.
The Lagoon Nebula, designated as M8, is a large and bright emission nebula located in the constellation Sagittarius. It is approximately 5,000 to 6,000 light-years away from Earth and has a diameter of about 110 light-years. The nebula is notable for its rich display of gas and dust, and it contains regions of star formation.

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