A list of game designers typically includes individuals known for their significant contributions to the video game industry. Here are some notable game designers: 1. **Shigeru Miyamoto** - Creator of iconic series such as Mario, The Legend of Zelda, and Donkey Kong. 2. **Hideo Kojima** - Known for the Metal Gear series, particularly Metal Gear Solid, and Death Stranding.
Visibility Graph Analysis (VGA) is a method used primarily in the fields of spatial analysis, urban planning, landscape architecture, and other areas to assess spatial relationships and visibility within a given environment. It transforms physical spaces into a mathematical representation to analyze how different locations can be "seen" from one another, thus helping to understand visibility, accessibility, and spatial integration.
The Assouad dimension is a concept from geometric measure theory and fractal geometry that provides a way to measure the "size" or "complexity" of a set in terms of its dimensionality. It is particularly useful in analyzing the structure of sets that may exhibit fractal behavior.
Classical Wiener space, often referred to in the context of stochastic analysis and probability theory, is a mathematical construct used to represent the space of continuous functions that describe paths of Brownian motion. It provides a rigorous framework for the analysis of stochastic processes, particularly in the study of Gaussian processes.
A Delone set, also known as a uniformly discrete or relatively dense set, is a concept from mathematics, particularly in the study of point sets in Euclidean spaces and in the area of mathematical physics, crystallography, and non-periodic structures.
Doubling space is a concept often used in various fields, including mathematics, computer science, and physics, and it can refer to different ideas depending on the context. 1. **Mathematics and Geometry**: In the context of mathematical spaces, doubling often refers to the property of metric spaces where ball sizes can be controlled by the number of smaller balls that can cover the larger ones.
Flat convergence generally refers to a concept in optimization and machine learning, particularly in the context of training neural networks. It describes a situation where the loss landscape of a model has regions where the loss does not change much, even with significant changes in the model parameters. In other words, a "flat" region in the loss landscape indicates that there are many parameter configurations that yield similar performance (loss values), as opposed to "sharp" regions where small changes in parameters lead to large changes in loss.
The Hopf-Rinow theorem is a fundamental result in differential geometry and the study of Riemannian manifolds. It connects concepts of completeness, compactness, and geodesics in the context of Riemannian geometry. The theorem states the following: 1. **For a complete Riemannian manifold**: If \( M \) is a complete Riemannian manifold, then it is compact if and only if it is geodesically complete.
The Kirszbraun theorem, also known as Kirszbraun's extension theorem, is a result in the field of metric geometry and functional analysis. It addresses the extension of Lipschitz continuous functions.
Laakso space is a type of metric space that is notable in the study of geometric topology and analysis. It is defined to provide an example of a space that has certain interesting properties, particularly concerning the concepts of dimension and embedding. One of the intriguing characteristics of Laakso space is that it is a non-trivial space which exhibits a unique kind of fractal structure.
In the context of topology and metric spaces, a **metric space** is a set \( X \) along with a metric \( d \) that defines a distance between any two points in \( X \). A **subspace** of a metric space is essentially a subset of that metric space that inherits the structure of the original space. ### Definition of Metric Space A metric space \( (X, d) \) consists of: - A set \( X \).
Bent's rule is a principle in chemistry that pertains to the hybridization of atomic orbitals in heteroatomic molecules, particularly those containing a central atom bonded to different substituents. Formulated by Linus Pauling and named after the chemist Robert S. Bent, the rule states that: "In a molecule, the more electronegative atoms will tend to occupy positions that allow for greater p-character in the hybrid orbitals formed by the central atom.
The Berry mechanism, also known as the Berry phase or Berry's phase, is a fundamental concept in quantum mechanics and condensed matter physics. It describes a geometric phase acquired by the quantum state of a system when the system is subject to adiabatic (slow) changes in its parameters. The core idea is that when a quantum system is driven around a closed loop in parameter space, its wave function can acquire a phase factor that is not attributed to the dynamics of the system itself (i.e.
Hypercubane is a theoretical carbon allotrope that is a polyhedral structure made up of interconnected carbon atoms arranged in a fashion analogous to a hypercube or tesseract in higher dimensions. The name "hypercubane" combines "hypercube" and "cubane," a well-known hydrocarbon with a cubic structure where carbon atoms form the vertices of a cube.
Pentagonal bipyramidal molecular geometry is a type of molecular structure that occurs when a central atom is surrounded by 7 other atoms positioned at the vertices of a geometry resembling two pyramids (bipyramids) sharing a common base. In this geometry, the central atom typically exhibits an coordination number of 7.
Trigonal prismatic molecular geometry is a type of molecular structure where a central atom is surrounded by six other atoms arranged at the corners of a prism with a triangular base. This geometry is characterized by having two triangular faces and three rectangular faces, similar to a prism shape.
In chemistry, the term "vicinal" typically refers to two functional groups or substituents that are located on adjacent carbon atoms in a molecule. The term is often used in the context of vicinal diols, where two hydroxyl (-OH) groups are attached to two adjacent carbon atoms.
Romanian women physicists have made significant contributions to the field of physics, although they have historically faced challenges and barriers in a male-dominated discipline. Notable figures include: 1. **Merian C. Cooper**: An influential Romanian physicist known for her work in experimental physics and contributions to various scientific fields. 2. **Maria G. Bălcescu**: Recognized for her research in theoretical physics and contributions to quantum mechanics.
Alexander Sergeev is a Russian physicist known for his work in the field of physics, particularly in areas related to quantum optics, nonlinear optics, and related technologies. He has contributed to various aspects of theoretical and applied physics, often focusing on the interaction of light with matter and the development of laser technologies.

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