Jens Eisert is a prominent physicist known for his work in the field of quantum information science. His research encompasses various areas, including quantum computing, quantum cryptography, and the foundations of quantum mechanics. Eisert has made significant contributions to the theoretical understanding of how quantum systems can be used for information processing and communication, and he has published numerous papers on these topics.
Christine Erbe is a prominent marine scientist and researcher, well-known for her work in the field of ocean acoustics and marine bioacoustics. She has been involved in studies related to underwater sound, particularly its impact on marine life, including marine mammals like dolphins and whales. Her research often focuses on understanding how noise pollution in the oceans affects these species, as well as developing techniques and technologies for monitoring and assessing underwater sound environments.
Sundance Bilson-Thompson is an artist and researcher known for his work in the field of speculative design and art, often focusing on themes related to climate change, Indigenous perspectives, and future scenarios. He utilizes various media, including digital technology and installations, to explore the intersection of culture, technology, and the environment. Bilson-Thompson's work is notable for blending traditional knowledge with contemporary practices, and he often engages with Indigenous narratives to address modern challenges.
David Wands is a theoretical physicist known for his work in cosmology, particularly in relation to the early universe and the nature of dark energy. He has contributed to the understanding of the dynamics of the universe and has published research on various aspects of cosmology, including inflationary models and the multiverse hypothesis.
As of my last knowledge update in October 2021, there wasn't a widely recognized individual, concept, or entity named "Tara Fortier." It's possible that it could refer to a private individual, a recent development, or a niche topic that has emerged since then.
Physical systems refer to any collection of physical entities that interact according to the laws of physics. These systems can consist of matter, energy, and various physical interactions, and they can be as simple as a single particle or as complex as a galaxy. Physical systems can be studied across various fields of science, including physics, engineering, and chemistry. Physical systems can be classified in several ways: 1. **Open vs.
Unsolved problems in physics refer to questions and phenomena that remain unexplained despite extensive research and experimentation. These problems often span various fields of physics, including theoretical physics, particle physics, cosmology, and condensed matter physics. Here are some notable examples of unsolved problems in physics: 1. **Quantum Gravity**: One of the major challenges in theoretical physics is reconciling general relativity, which describes gravitation on a large scale, with quantum mechanics, which governs subatomic particles.
Uniform tilings, also known as uniform tessellations or regular tessellations, refer to a way of dividing a surface into shapes (tiles) where the tiles are regular polygons, and the arrangement is uniform across the surface. Lists of uniform tilings can be categorized based on the type of surface: the sphere, the plane, and the hyperbolic plane. ### 1.
Modern Arabic mathematical notation refers to the conventions and symbols used in mathematics that have been adopted and adapted in the Arab world, especially in countries where Arabic is the primary language. This notation blends traditional Arabic script with mathematical symbols and practices that are commonly used worldwide. Here are some key features of Modern Arabic mathematical notation: 1. **Direction of Writing**: Unlike Western mathematical notation which is written from left to right, Arabic is written from right to left.
A metatheorem is a theorem about other theorems. It typically provides a framework, principles, or results that apply to a certain class of theorems rather than proving specific statements or properties of mathematical objects directly. Metatheorems are often found in mathematical logic, formal systems, and computer science, where they can address properties like consistency, completeness, decidability, or complexity of various logical systems or programming languages.
A compass, in the context of drawing and drafting, is a tool used to create arcs, circles, and angles. It consists of two arms: one with a pointed end (the pivot point) and the other with a pencil or drawing implement attached. By fixing the pointed end at a specific point on paper and rotating the pencil end around that pivot, users can draw accurate circles or portions of circles. Compasses are commonly used in mathematics, geometry, engineering, and various artistic applications.
The Ohsawa–Takegoshi L² extension theorem is a significant result in complex analysis, particularly in the theory of several complex variables. It provides conditions under which holomorphic functions defined on a submanifold can be extended to a larger domain while retaining certain properties, such as being in the L² space. More precisely, the theorem addresses the problem of extending holomorphic functions that are square-integrable on certain subvarieties of complex manifolds.
The concept of an "exceptional set" is generally used in various fields of mathematics, often in set theory, topology, and functional analysis. Exceptional sets can refer to specific sets of points that possess unique properties or which deviate from typical behavior in some way. Below are some common types of exceptional sets across different areas of mathematics: 1. **Lebesgue Null Sets**: These are sets of Lebesgue measure zero in \( \mathbb{R}^n \).
There are many concepts, theorems, structures, and other mathematical entities that are named after mathematicians, often to honor their contributions to the field. Here are some examples spanning various areas of mathematics: ### Theorems and Results 1. **Pythagorean Theorem** (Pythagoras) - Relates the sides of a right triangle.
Wikipedia has various categories dedicated to mathematicians and their contributions to the field. Here are some of the main categories named after specific mathematicians: 1. **Category:Euclid** - Pertains to works and concepts related to Euclid, often referred to as the "Father of Geometry." 2. **Category:Newton** - Focuses on Isaac Newton, including his contributions to calculus and physics.
"Lists of mathematics lists" typically refers to collections of different types of lists that categorize mathematical concepts, theorems, formulas, and other mathematical topics. These lists can serve as a reference or quick guide for students, educators, and professionals in the field of mathematics.
The integrals of inverse hyperbolic functions can be useful in various mathematical contexts, including calculus and engineering. Here is a list of common integrals involving inverse hyperbolic functions: 1. **Inverse Hyperbolic Sine**: \[ \int \sinh^{-1}(x) \, dx = x \sinh^{-1}(x) - \sqrt{x^2 + 1} + C \] 2.
Classical mechanics is a branch of physics that deals with the motion of bodies under the influence of forces. The mathematical topics that are essential for understanding and analyzing classical mechanics include a variety of concepts and techniques. Here is a list of key mathematical topics often encountered in classical mechanics: 1. **Vectors and Vector Calculus**: - Vector operations (addition, subtraction, dot product, cross product) - Gradient, divergence, and curl 2.
The term "convolution quotient" is not a standard term in mathematics or signal processing, but it may refer to a couple of different concepts depending on the context. Here's a breakdown of what it could mean: 1. **Convolution**: In mathematics and signal processing, convolution is a mathematical operation that combines two functions (or signals) to produce a third function.

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