As of my last knowledge update in October 2023, Tonka refers to a brand known primarily for its toys, particularly dump trucks and construction vehicles. It is not widely recognized for producing television series.
A **planar graph** is a graph that can be drawn on a plane without any edges crossing each other. In other words, it's possible to lay out the graph in such a way that no two edges intersect except at their endpoints (the vertices). Key characteristics of planar graphs include: 1. **Planar Representation**: If a graph is planar, it can be represented in two dimensions such that its edges only intersect at their vertices.
A **cycle double cover** of a graph is a particular type of subgraph that consists of a collection of cycles in which each edge of the original graph is included in exactly two of these cycles. More formally, for a given graph \( G \), a cycle double cover is a set of cycles such that every edge in \( G \) is covered exactly twice by the cycles in the set.
"Dessin d'enfant" is a French term that translates to "children's drawing." In the context of art, it often refers to the style and characteristics of drawings made by children. These drawings are typically marked by their simplicity, spontaneity, and unique perspective. They reflect a child's imagination, interpretation of the world, and emotional expression without the constraints that often accompany adult artistic conventions.
A Graph-encoded map is a representation of spatial information using graph theory concepts. In this context, a graph consists of nodes (or vertices) and edges (or connections) that connect these nodes. Graph-encoded maps are often used in various fields, such as computer science, transportation, geography, and robotics, to model and analyze complex relationships and pathways in spatial environments.
A "queue number" generally refers to a numerical value assigned to a person or item in a queue (or line), indicating their position relative to others waiting for service, access, or processing. This concept is commonly used in various settings, including: 1. **Customer Service**: In banks, restaurants, and service centers, customers receive queue numbers to organize the order in which they will be served.
A topological graph is a mathematical structure that combines concepts from topology and graph theory. In a topological graph, the vertices are points in a topological space, and the edges are curves that connect these vertices. The edges are typically drawn in such a way that they do not intersect each other except at their endpoints (which are the vertices).
A "skipping tornado" is not a widely recognized term in meteorology, but it may refer to a tornado that appears to have a non-continuous or intermittent path as it touches down and then lifts back into the cloud, only to potentially touch down again later. This phenomenon can sometimes give the visual impression of the tornado "skipping" along the ground rather than maintaining a constant, continuous path.
PyClone is a computational tool designed for the analysis of heterogeneous cancer genotypes from bulk sequencing data. It is used to infer the clonal structure of tumors by analyzing variant allele frequencies in genomic data derived from cancer tissues. Specifically, PyClone incorporates a Bayesian statistical framework to model the relationships between different mutations and their prevalence across samples, allowing researchers to identify distinct clones within a tumor and understand the heterogeneity of cancer cells.
The Grothendieck trace theorem is a result in algebraic geometry and algebraic topology that connects the concepts of trace, a type of linear functional, with the notion of duality in the setting of coherent sheaves on a variety or topological space. While often discussed in various contexts, it is particularly notable in relation to étale cohomology and L-functions in number theory.
A real number is any value that can represent a quantity along a continuous line. This includes all the rational numbers (which can be expressed as the quotient of two integers, such as 1/2 or -3) and all the irrational numbers (which cannot be expressed as a simple fraction, such as the square root of 2 or pi). Real numbers can be classified into several categories: - **Rational Numbers**: Numbers that can be expressed as a fraction (e.g.
IPsec, or Internet Protocol Security, is a suite of protocols designed to secure Internet Protocol (IP) communications by authenticating and encrypting each IP packet in a communication session. It is used to establish virtual private networks (VPNs) and to provide secure communication across potentially insecure networks, such as the internet. ### Key Features of IPsec: 1. **Data Integrity**: IPsec ensures that data sent over the network has not been tampered with during transmission.
The "splitting circle" method is not a widely recognized term in mainstream mathematics or science as of my last knowledge update in October 2023. However, it might refer to a specific technique or concept in a niche area that has not gained broad acknowledgment or could relate to a specific problem-solving approach in geometry or another domain.
The Ritz method is a variational technique used in mathematical analysis, particularly in the fields of applied mathematics and engineering, to find approximate solutions to complex problems, typically involving differential equations. It is particularly useful for problems in structural mechanics, quantum mechanics, and other fields where the governing equations can be difficult to solve exactly.
Danie G. Krige was a prominent South African geostatistician, widely recognized for his contributions to the field of statistics and mining. He is best known for developing the concept of kriging, which is a statistical interpolation method used for predicting unknown values based on the spatial correlation of known data points. Kriging has become a fundamental technique in various fields, including mining, geology, meteorology, and environmental science.
Danica McKellar is an American actress, mathematician, and author. She is best known for her role as Winnie Cooper on the television show "The Wonder Years," which aired from 1988 to 1993. In addition to her acting career, McKellar has made significant contributions in the field of mathematics, holding a degree from UCLA and co-authoring a mathematical theorem known as the "Chayes-McKellar-Winn theorem.
Daniela Tuninetti is a notable figure in the field of electrical and computer engineering. She is known for her contributions to wireless communications and information theory. As a professor, she has been involved in research related to network coding, multi-user detection, and the performance analysis of wireless networks.
A quarter-wave impedance transformer is a simple, yet effective device used in radio frequency (RF) engineering to match different impedances in transmission lines. The function of the quarter-wave transformer is to transform an impedance into another by utilizing the specific properties of transmission lines. ### Key Points: 1. **Length**: The quarter-wave transformer is usually designed to be one-quarter of the wavelength (λ/4) at the frequency of interest. The length of the transformer is critical for its proper function.
The Clausius–Clapeyron relation is a fundamental equation in thermodynamics that describes the relationship between the pressure and temperature of a phase transition, particularly between the liquid and vapor phases of a substance. It is particularly useful for understanding vaporization and sublimation processes.
The darwin is a unit of measurement used to indicate the rate of evolutionary change, named after the naturalist Charles Darwin. It expresses the amount of change in a trait or characteristic of a population over time. The darwin is typically defined in terms of the fractional change in a trait per generation. A change of 1 darwin means that a trait has changed by a factor of e (approximately 2.718) over a specific time period, such as one generation.

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