Orthogonal wavelets are a specific type of wavelet used in signal processing and data analysis that possess the property of orthogonality. Unlike other wavelet systems, where wavelets may not be orthogonal to one another, orthogonal wavelets are formed in such a way that they are mathematically independent. This has significant implications for data representation and processing.
The term "position" can have several meanings depending on the context in which it is used. Here are a few common interpretations: 1. **Physical Location**: In a physical context, "position" refers to the specific location of an object or individual in space. For example, the position of a car on a road or a person in a room. 2. **Job or Role**: In a professional context, "position" often refers to a job title or role within an organization.
Wendelin Werner is a prominent French mathematician known for his contributions to probability theory, particularly in the areas of statistical physics, conformal fields, and complex analysis. He was awarded the Fields Medal in 2006, one of the highest honors in mathematics, for his work on random processes and their connections to two-dimensional conformal field theory and statistical mechanics. Werner's research often involves the study of random walks, Brownian motion, and various other stochastic processes.
The Galactic halo is a large, spherical region that surrounds the disk of a galaxy, such as the Milky Way. It contains a sparse population of stars, globular clusters, and dark matter. Here are some key features of the Galactic halo: 1. **Structure**: The halo is not as densely populated as the galactic disk, which contains most of the galaxy's stars, gas, and dust.
A rectangular cuboid, also known as a rectangular prism, is a three-dimensional geometric shape that has six rectangular faces. The key characteristics of a rectangular cuboid include: 1. **Faces:** It has six faces, all of which are rectangles. 2. **Edges:** There are twelve edges in total, with three pairs of parallel edges. 3. **Vertices:** It has eight vertices (corners) where the edges meet.
Wilfrid Kendall is a prominent figure in the field of mathematics and statistics, particularly known for his work in stochastic processes and mathematical finance. He has made significant contributions to the theory of statistical inference and the application of stochastic methods in various fields. Additionally, he is recognized for his academic roles, including positions at universities where he has educated and mentored students in mathematics and statistics.
Weight gain refers to an increase in body weight. It can occur due to an increase in body fat, muscle mass, or water retention, and can be caused by a variety of factors including: 1. **Caloric Surplus**: Consuming more calories than the body burns can lead to weight gain, as the excess energy is stored as fat. 2. **Diet**: A diet high in processed foods, sugars, and fats can contribute to weight gain.
A plasmon is a quantum of collective oscillation of free electrons in a material, particularly in metals. These oscillations can occur in response to electromagnetic fields, and they play a crucial role in several phenomena and technologies, including: 1. **Surface Plasmons**: These are coherent oscillations of electrons at the interface between a metal and a dielectric (non-conducting material).
NetHui is an annual event in New Zealand that focuses on internet governance and technology, bringing together diverse stakeholders to discuss and collaborate on various issues related to the internet. It typically features workshops, panel discussions, and keynote speakers from different backgrounds, including government, academia, business, and civil society.
JsMath is a JavaScript library that allows you to display mathematical expressions on web pages using LaTeX notation. It provides the ability to render complex mathematical formulas in a way that is visually appealing and easy to read for users. The library works by converting LaTeX markup into a format that can be displayed in web browsers, using either images or scalable vector graphics (SVG).
LaTeX is a document preparation system and markup language primarily used for producing high-quality typographical documents. It is especially popular in academia and among researchers for writing scientific papers, theses, and technical documents that include complex mathematical formulas, citations, and bibliographies. Here are some key features and aspects of LaTeX: 1. **Markup Language**: LaTeX uses plain text files with specific commands and syntax to define the structure and formatting of the document. This makes it highly customizable.
MetaPost is a programming language and software used to create vector graphics, particularly for producing high-quality technical illustrations, diagrams, and complex figures. It is closely related to the TeX typesetting system, and it was developed by Donald Knuth, the creator of TeX. Key features of MetaPost include: 1. **Graphic Generation**: MetaPost allows users to describe geometric shapes and figures using commands and mathematical expressions, enabling precise control over the rendering of graphical elements.
Ernesto Estrada is a scientist known primarily for his work in the field of complex networks and network science. He has made significant contributions to the understanding of the structural and dynamical properties of various types of networks, including social, biological, and technological networks. His research often focuses on the mathematical modeling of complex systems, graph theory, and the characterization of network dynamics.
Sigal Gottlieb is a prominent mathematician known for her work in the field of applied mathematics, particularly in scientific computing and numerical analysis. She has made significant contributions to the development of high-order numerical methods for partial differential equations, especially in the context of fluid dynamics and related applications. Gottlieb is also involved in research related to stability and convergence of numerical schemes.
A hemi-dodecahedron is a type of geometric solid that can be understood as a half of a regular dodecahedron. A regular dodecahedron is one of the five Platonic solids, characterized by having twelve regular pentagonal faces, twenty vertices, and thirty edges.
Susan Friedlander is a notable mathematician, primarily recognized for her contributions to the fields of dynamical systems and complex analysis. She has made significant advances in research areas involving holomorphic dynamics and has published numerous papers on these topics. Friedlander has also been involved in mathematics education and advocacy for increasing diversity within the STEM fields.
Machinima is a term that refers to the use of real-time computer graphics engines, often from video games, to create animated films. The word is a portmanteau of "machine" and "cinema." Initially, machinima was primarily associated with games like "Quake" and "Halo," where players could use the game’s engine to generate animated sequences. Machinima can be used for various purposes, including storytelling, satire, and experimentation with animation techniques.
Link protection is a term that can refer to various concepts depending on the context, but it generally pertains to methods and systems designed to safeguard hyperlinks or connections in digital environments. Here are a few specific contexts where link protection may be relevant: 1. **Cybersecurity**: In the context of cybersecurity, link protection may involve measures that help secure hyperlinks to prevent phishing attacks or malware distribution.
"Mark Leon" could refer to various subjects depending on context, such as a person, a fictional character, or a brand. Unfortunately, without more specific context, it's difficult to pinpoint an exact reference. If you have a specific context in mind, such as literature, a public figure, or a topic related to technology or business, please provide additional details.
Magneto can refer to a few different things, depending on the context: 1. **Marvel Comics Character**: Magneto is a fictional character in the Marvel Comics universe, created by writer Stan Lee and artist Jack Kirby. He first appeared in "X-Men" #1 in 1963. Magneto, whose real name is Max Eisenhardt (often known as Erik Lensherr), is a powerful mutant with the ability to manipulate magnetic fields and control metal.
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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
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. - Infinitely deep tables of contents:
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





