The Alan Alda Center for Communicating Science is a research and training institute based at Stony Brook University in New York. Founded in 2009, it aims to improve the way scientists and healthcare professionals communicate complex scientific concepts to a variety of audiences, including the general public, policymakers, and other scientists. The center uses techniques from the world of acting and improvisation to help scientists become more effective communicators.
The NASA Space Radiation Laboratory (NSRL) is a research facility located at Brookhaven National Laboratory in Upton, New York. It is designed to study the effects of space radiation on materials, biological systems, and electronic components. The NSRL simulates the space radiation environment that astronauts and equipment might encounter during missions beyond Earth's atmosphere, such as those to the Moon, Mars, or in low Earth orbit.
As of my last update in October 2023, "Corestriction" does not appear to be a widely recognized term in mainstream literature, technology, or specific academic fields. It might be a typographical error or a niche term not documented in major references.
A glossary of category theory includes definitions and explanations of fundamental concepts and terms used in the field. Here are some of the key terms: 1. **Category**: A collection of objects and morphisms (arrows) between those objects that satisfy certain properties. A category consists of objects, morphisms, a compositional law, and identity morphisms. 2. **Object**: The entities within a category. Each category contains a collection of objects.
The term "lifting property" can refer to several concepts depending on the context, particularly in mathematics, computer science, and related fields. Below are a few contexts where "lifting property" is commonly discussed: 1. **Topology:** In topology, particularly in homotopy theory, the lifting property refers to the idea that a map can be "lifted" through a fibration.
In category theory, the term "overcategory" is used to describe a particular kind of category construction. Specifically, given a category \( \mathcal{C} \) and an object \( A \) in \( \mathcal{C} \), the overcategory \( \mathcal{C}/A \) refers to the category whose objects are morphisms in \( \mathcal{C} \) that have \( A \) as their codomain.
In the context of category theory, specifically within the study of abelian categories, the concept of a quotient object is an important one. A quotient object in an abelian category is a way to construct a new object by identifying certain elements or morphisms in a way that reflects the idea of "dividing" the objects by a subobject. ### Definitions 1.
In mathematics, the term "stack" typically refers to a specific kind of mathematical structure used in algebraic geometry and related fields. Stacks are a generalization of schemes that allow for more flexibility, particularly in situations where one needs to control not just global properties but also local symmetries and automorphisms. ### Key Concepts: 1. **Stacks vs.
A T-structure is a concept from the field of category theory, a branch of mathematics that deals with abstract structures and relationships between them. In the context of derived categories, a T-structure provides a way to systematically organize complexes of objects.
In astronomy, the term "barycenter" refers to the center of mass of a system of two or more bodies that are in orbit around each other. In a binary star system, for example, both stars orbit around their common barycenter, which is located at a point that is determined by the relative masses of the stars and their separation distance. The barycenter is important for understanding the dynamics of celestial systems.
"Clearing the neighborhood" can refer to various contexts depending on the situation. Generally, it involves taking steps to improve the environment or safety of a residential area. Here are a few interpretations: 1. **Urban Improvement**: This may involve community initiatives to clean up trash, reduce crime, enhance landscaping, or remove abandoned vehicles. The goal is to foster a nicer living space.
Hadamard's dynamical system, often referred to in the context of the Hadamard transformation or as a particular example of a chaotic dynamical system, is tied to the study of chaotic maps and dynamical systems in mathematics. More precisely, it can refer to the use of a mathematical operator known as the Hadamard operator or transformation.
The Kaplan–Yorke map is a mathematical model that belongs to the category of dynamical systems, specifically studied in the context of chaos and bifurcation theory. It is defined on the interval \([0, 1]\) and is often used to illustrate concepts of chaotic behavior, period doubling, and sensitivity to initial conditions.
The Tent map is a mathematical function that is often used in the study of chaotic systems in dynamical systems theory. It is a simple yet powerful example of how complicated behavior can arise from a deterministic system. The Tent map is typically defined over the interval \([0, 1]\) and is given by the following piecewise function: \[ T(x) = \begin{cases} 2x & \text{if } 0 \leq x < 0.
The Dewar–Chatt–Duncanson model is a theoretical framework used to describe the bonding and electronic structure of transition metal complexes, particularly those involving π-acceptor ligands such as carbon monoxide (CO). Developed by chemists Robert Dewar, Keith Chatt, and John Duncanson, the model is particularly relevant in the context of metal-ligand interactions, elucidating how metal and ligand interactions occur through overlap of orbitals.
The Electron Localization Function (ELF) is a theoretical tool used in quantum chemistry and solid-state physics to analyze the spatial distribution of electrons in a many-body system, particularly in molecular and solid-state systems. It provides insights into the localization of electrons in a chemical system, which in turn helps in understanding bonding, electronic structure, and reactivity. The ELF is defined mathematically in terms of the electron density and the kinetic energy density.
Non-bonding electrons are the electrons in an atom that are not involved in forming bonds with other atoms. They are typically found in the outermost shell, or valence shell, of an atom. Non-bonding electrons can be divided into two categories: 1. **Lone Pairs**: These are pairs of electrons that are localized on a single atom and do not participate in bonding.
The silicon-oxygen bond refers to the chemical bond formed between silicon (Si) and oxygen (O) atoms. This bond is primarily covalent in nature, which means that the atoms share electrons to achieve greater stability through filled electron shells. Silicon and oxygen are both found in Group 14 and Group 16 of the periodic table, respectively.
Chemical Physics Journals are academic publications that focus on the study of the physical principles underlying chemical systems and phenomena. These journals typically publish research articles, reviews, and other content that examines the interactions between chemical and physical processes, employing theoretical, computational, and experimental methods. Key features of Chemical Physics Journals include: 1. **Interdisciplinary Focus**: The field of chemical physics bridges chemistry and physics, making these journals an interdisciplinary platform.
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





