The evolution of a random network generally refers to how the structure and properties of a random network change over time or under certain conditions. Random networks are mathematical models used to describe networks where connections (or edges) between nodes (or vertices) are generated randomly according to specific probabilistic rules. Evolution can be studied in various contexts, including: 1. **Growth Models**: Many random networks are created using growth models that involve the addition of nodes over time.
Michael Friedman is a prominent philosopher known for his work in the philosophy of science, particularly in the areas of the philosophy of physics and the philosophy of mathematics. He is also recognized for his contributions to the history of philosophy, including the interplay between philosophy and scientific practice. Friedman is particularly noted for his exploration of how scientific theories develop and change over time, and how this relates to broader philosophical questions.
Philosophy of mind journals are academic publications that focus on the philosophical study of the mind, consciousness, and related topics. These journals typically feature articles, research papers, and reviews that explore questions about the nature of mental states, consciousness, the relationship between the mind and body, perception, cognition, emotions, and the nature of personal identity. They may also cover interdisciplinary approaches, including those that engage with psychology, neuroscience, cognitive science, and artificial intelligence.
William Newton-Smith is a British philosopher, known for his work in the philosophy of science, particularly focusing on topics such as scientific realism, the nature of scientific reasoning, and the philosophy of mathematics. He has also contributed to discussions about the relationship between science and philosophy. Newton-Smith has written various articles and books, making significant contributions to the philosophical discourse surrounding science and knowledge.
AI capability control refers to strategies, mechanisms, and practices aimed at managing and regulating the capabilities of artificial intelligence systems. It encompasses a range of approaches to ensure that AI technologies operate safely, ethically, and in alignment with human values and objectives. Here are some key aspects of AI capability control: 1. **Capability Limits**: Defining the boundaries of what an AI system can do. This may include restricting certain functionalities or imposing limits on autonomy to prevent unintended consequences.
"Alciphron" is a philosophical work by the Irish philosopher George Berkeley, published in 1732. The full title of the book is "Alciphron: Or, the Minute Philosopher." It is written in the form of a dialogue between characters who discuss various philosophical and theological issues, particularly focusing on skepticism and the nature of perception.
A radian is a unit of angular measurement used in mathematics and engineering. It is defined as the angle formed at the center of a circle by an arc whose length is equal to the radius of the circle.
Prospective memory refers to the ability to remember to perform intended actions in the future. This can involve remembering to carry out tasks at a specific time (time-based prospective memory) or in response to a specific cue or event (event-based prospective memory). For example, remembering to take medication at noon or to bring a cake to a friend’s party when seeing them is considered prospective memory.
High-density polyethylene (HDPE) is a type of thermoplastic polymer made from the monomer ethylene. It is known for its high strength-to-density ratio, making it one of the most widely used plastic materials in various applications. Here are some key characteristics and properties of HDPE: 1. **Density**: HDPE has a higher density (typically around 0.93 to 0.
Geoffrey of Vinsauf was a medieval writer and poet, best known for his contributions to the field of rhetoric and his influence on literary theory in the 12th century. He is particularly noted for his work "Liber de Natura Rhetorica" (The Book on the Nature of Rhetoric), which serves as a comprehensive treatise on rhetoric and its application in poetry and prose. This text explores various rhetorical techniques and devices, illustrating their significance in effective communication and literature.
The Geometric distribution and the Poisson distribution are two distinct types of probability distributions, and there isn't a specific distribution called the "Geometric Poisson distribution." However, I can explain both distributions and how they relate to each other. ### Geometric Distribution The Geometric distribution models the number of trials needed to achieve the first success in a sequence of independent Bernoulli trials (where each trial has two possible outcomes: success or failure).
Jerzy Słupecki was a prominent Polish mathematician known for his contributions to topology, particularly in set-theoretic topology and the theory of continuous functions. His work involved various concepts within these fields, including the study of topological spaces and their properties. He is also associated with the development of mathematical education in Poland and has published materials that contributed to the understanding of topology among students and researchers.
Tearce Municipality is an administrative region located in North Macedonia. It is part of the larger Tetovo region and encompasses the village of Tearce, which serves as its central settlement. The municipality is predominantly inhabited by ethnic Albanians, and its cultural and social dynamics are influenced by this demographic. Tearce Municipality is characterized by a mix of rural and urban areas, with agriculture being a significant part of the local economy.
The "compound of six tetrahedra" refers to a specific geometric arrangement of six tetrahedra that share a common center but can rotate freely. This structure can be visualized as a three-dimensional arrangement where pairs of tetrahedra are arranged around a central point, often showcasing the symmetrical properties of both tetrahedra and the overall compound.
A decagonal prism is a three-dimensional geometric shape that has two parallel bases in the shape of a decagon (a polygon with ten sides) and rectangular sides connecting the corresponding sides of the two bases. Key characteristics of a decagonal prism include: 1. **Bases**: The top and bottom faces are both decagons. 2. **Faces**: In addition to the two decagonal bases, the prism has ten rectangular lateral faces.
The elongated pentagonal gyrobicupola is a type of convex polyhedron that is part of the family of Archimedean solids. Specifically, it is a result of a geometric operation known as "elongation," which involves the addition of two hexagonal faces to the original structure of the gyrobicupola. Here are some key characteristics of the elongated pentagonal gyrobicupola: 1. **Vertices**: It has 20 vertices.
An elongated pentagonal pyramid is a three-dimensional geometric shape that can be visualized as a combination of a pentagonal pyramid and a prism. Here’s a breakdown of its structure: 1. **Base Shape**: The base of the elongated pentagonal pyramid is a pentagon. 2. **Pyramid Section**: Above the pentagonal base, there is a pyramid whose apex is directly above the centroid (center) of the pentagonal base.
A hexagonal trapezohedron is a type of geometric shape, specifically a polyhedron. It is characterized by its two hexagonal faces that are connected by a series of trapezoidal faces. The hexagonal trapezohedron consists of 12 faces in total: 2 hexagonal faces and 10 trapezoidal faces. The properties of a hexagonal trapezohedron include: - **Vertices**: It has 12 vertices. - **Edges**: It has 30 edges.
The truncated square trapezohedron is a type of polyhedron that falls under the category of Archimedean solids. It is formed by truncating (or "cutting off") the vertices of a square trapezohedron, creating new faces in the process. ### Characteristics: - **Faces**: The truncated square trapezohedron has a total of 14 faces. There are 8 triangular faces and 6 quadrilateral faces. - **Vertices**: It has 24 vertices.
The order-5 truncated pentagonal hexecontahedron is a type of convex polyhedron that is classified as an Archimedean solid. It is derived from the pentagonal hexecontahedron by truncating its vertices. Specifically, the pentagonal hexecontahedron is a polyhedron composed of 60 triangular faces and 12 pentagonal faces.

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 5. . 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.
  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