"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.
A molecular gyroscope is a device or concept that utilizes the properties of molecules to measure angular rotation or orientation. These gyroscopes leverage the principles of molecular dynamics, quantum mechanics, or other advanced physical phenomena to detect changes in orientation or rotation with high precision. In essence, the concept draws on the fact that molecules can exhibit specific behaviors or responses to rotational motion, which can be translated into measurable outputs.
Yigu yanduan (一顧言短) is a Chinese expression that translates to "a brief glance" or "a single look." It is often used in literature and poetry, typically to convey a moment of deep emotion or insight that arises from a fleeting or simple observation. The phrase carries a connotation of appreciating the beauty or significance of something in a concise manner, often emphasizing the impact that a short encounter or view can have on one’s thoughts or feelings.
Norton's theorem is a fundamental principle in electrical engineering, particularly in circuit analysis. It states that any linear electrical network with voltage sources, current sources, and resistances can be simplified to an equivalent circuit consisting of a single current source in parallel with a single resistor.
Nim is a high-level, statically typed programming language designed for efficiency, expressiveness, and versatility. It combines elements from various programming paradigms, including procedural, functional, and object-oriented programming. Key features of Nim include: 1. **Performance**: Nim compiles to efficient C, C++, or JavaScript code, allowing for high-performance applications while still providing the expressive benefits of a high-level language.
A Poset game, or partially ordered set game, is a combinatorial game that is played on a finite partially ordered set (poset). In these games, two players take turns choosing elements from the poset under certain rules that depend on the structure of the poset. ### Rules and Structure 1.
"Tiny" and "miny" are not standard terms in the English language, but "tiny" is a commonly used adjective that means very small in size or amount. The term is often used colloquially and in informal contexts to describe something that is significantly smaller than the average size. "Miny," on the other hand, may be a misspelling of "mini" or "minnie," which can refer to small versions of objects or concepts (like "miniature").
Branko Grünbaum (born January 17, 1929) is a renowned mathematician known for his contributions to various fields within mathematics, particularly in geometry, topology, and combinatorics. He has published numerous research papers and books, and he is noted for his work on polytopes, convex geometric structures, and discrete geometry. In addition to his research, Grünbaum has been involved in mathematical education and has played a significant role in promoting mathematics in various contexts.
As of my last update in October 2023, there is no widely recognized figure, concept, or technology specifically known as "Bryan Shader." It's possible that you may be referring to a less prominent individual, a specific term in a niche field, or a recent development that occurred after my last update.

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