Poplog by Wikipedia Bot 0
Poplog is an integrated development environment (IDE) and a programming environment primarily aimed at artificial intelligence (AI) research and development. It was developed in the 1980s at the University of Sussex in the UK and supports multiple programming languages, including: 1. **Pop11**: A programming language similar to Lisp and used extensively in AI. It offers features for symbolic computation and list processing. 2. **Prolog**: A logic programming language commonly associated with AI.
Ring Learning with Errors (Ring-LWE) is a computational problem that is a specific instance of the more general Learning with Errors (LWE) problem, which is important in the field of cryptography, particularly for building secure cryptographic schemes such as encryption schemes, digital signatures, and homomorphic encryption. The LWE problem is based on the mathematical hardness of distinguishing between certain distributions of noisy linear equations over finite fields or lattices.
An **edge dominating set** in a graph is a subset of edges with the property that every edge in the graph is either included in the subset or is adjacent to at least one edge in the subset.
A **Feedback Vertex Set (FVS)** in a graph is a set of vertices whose removal makes the graph acyclic, meaning that it eliminates all cycles in the graph. In other words, a feedback vertex set is a subset of vertices such that when these vertices are removed from the graph, the resultant graph contains no cycles.
The Chinese Postman Problem (CPP), also known as the Route Inspection Problem, is a classic problem in graph theory. It involves finding the shortest path or circuit that traverses every edge of a given graph at least once. The goal is to minimize the total distance traveled, effectively allowing the "postman" to deliver mail along the edges of the graph without unnecessary repetition.
Clique problem by Wikipedia Bot 0
The Clique problem is a well-known problem in graph theory and computer science, particularly within the field of computational complexity. A clique in a graph is defined as a subset of vertices such that every two distinct vertices in the subset are adjacent, which means there is an edge connecting every pair of vertices in that subset.
The Deterministic Rendezvous Problem is a classic problem in distributed computing and algorithm design, particularly in the fields of multi-agent systems and robotics. The problem involves two or more agents (or entities) that must meet at a common point (the rendezvous point) in a distributed environment, without the use of randomization. ### Key Characteristics of the Problem: 1. **Determinism**: - The behavior of the agents is predetermined and follows a specific set of rules or algorithms.
The Digraph Realization Problem is a key issue in graph theory, specifically within the context of directed graphs (digraphs). The problem can be described as follows: Given a set of vertices and a collection of directed edges (or arcs), the goal is to determine whether there exists a directed graph (digraph) that can represent those edges while satisfying specific combinatorial properties.
Domatic number by Wikipedia Bot 0
The domatic number of a graph is a concept in graph theory that describes the maximum number of disjoint dominating sets that can be formed within that graph. A dominating set is a subset of the vertices of a graph such that every vertex not in the set is adjacent to at least one vertex in the set.
Atomistix Virtual NanoLab (AVN) is a software platform developed for simulating and modeling nanostructures and nanomaterials. It is particularly useful in the field of nanotechnology and materials science, allowing researchers to perform quantum mechanical simulations of complex systems at the nanoscale.
Picard-Lindelöf theorem by Ciro Santilli 37 Updated +Created
Frequent subtree mining is a data mining technique that focuses on identifying substructures (or subtrees) that appear frequently within a collection of tree-structured data. This process is particularly important in domains where data can be naturally represented as trees, such as in biological data (e.g., phylogenetic trees), XML data, and other hierarchical structures. ### Key Concepts 1.
Pineapple jelly with cream by Ciro Santilli 37 Updated +Created
December 2023: www.tudogostoso.com.br/receita/81176-gelatina-de-abacaxi-com-creme-de-leite.html Terribly explained recipe! Used 5 spoons of sugar rather than 10, and a 300ml cup of double cream. Turned out OK, except that the cream condensed all on top, and assumed the same coarse texture as when you do a fatty beef and let it cool, so not so nice,
Maybe this would be more successful: receitas.globo.com/tipos-de-prato/doces-e-sobremesas/gelatina-de-abacaxi-4e64345bddf17214b4003e71.ghtml They also use condensed milk, and beat the cream with the jelly, so it might mix better? It didn't really.
June 2024: Now going for:
  • 4 cups of water
  • 1 spoon of sugar
  • just drop 150 ml double cream on top after jelly and mix with spoon since anything else was pointless to get mixture
For some reason it became too liquid this time, the jelly didn't work very well. Not sure why. The pineapple was a bit large.
The 21st century has witnessed significant contributions from Australian physicists across various fields, including quantum physics, condensed matter physics, astrophysics, and more. Some notable Australian physicists and areas of research from this century include: 1. **Quantum Computing and Quantum Information**: Australian physicists have been at the forefront of quantum computing research. Institutions like the University of Sydney and the University of Queensland have made significant advancements in developing quantum bits (qubits) and quantum communication systems.
OXO (video game) by Wikipedia Bot 0
OXO is a classic video game that was developed by Ralph H. Baer and is often considered one of the first examples of a video game that used a graphical interface. Created in 1952, OXO is essentially a digital version of Tic-Tac-Toe (Noughts and Crosses) and was designed to be played on the Simon electronic game console, which Baer developed.
A geometrically regular ring is a concept that arises in algebraic geometry and commutative algebra. Specifically, it relates to geometric properties of the spectrum of a ring, particularly in regard to its points and their corresponding field extensions.
As you would expect, not much secret here, we just dumped a 1 liter glass bottle with a rope attached around the neck in a few different locations of the river, and pulled it out with the rope.
And, in the name of science, we even wore gloves to not contaminate the samples!
Figure 1.
Swans swimming in the river when during sample collection
. Source. Swam poo bacteria?
Figure 2.
Tying rope to bootle for river water sample collection
. Source.
Figure 3.
Dumping the bottle into the river to collect the water sample
. Source.
Figure 4.
Measuring the river water sample temperature with a mercury thermometer
. Source.
Figure 5.
Measuring the river water sample pH with a pH strip
. Source. The strip is compared with the color of a mobile app that gives the pH for a given strip color.
Figure 6.
Noting sample collection location on the water bottle
. Source.
Video 1.
Dumping the bottle into the river to collect the water sample
. Source. That was fun.
In differential geometry and related fields, a **formally smooth map** generally refers to a type of map that behaves smoothly at a certain level, even if it may not be globally smooth in the traditional sense across its entire domain. The concept is often discussed in the context of algebraic geometry and singularity theory. To provide a clearer understanding: 1. **Smooth Maps**: A smooth map is typically a function between differentiable manifolds that is infinitely differentiable.
Primary decomposition is a concept in the field of algebra, particularly in commutative algebra and algebraic geometry, that deals with the structure of ideals in a ring, specifically Noetherian rings. The primary decomposition theorem provides a way to break down an ideal into a union of 'primary' ideals.

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