"An Open Letter to Hobbyists" is often a call to action or a message directed towards hobbyists in various fields, encouraging them to reflect on their passions, ethics, and practices. While the specifics of such a letter can vary widely depending on the context and audience, common themes may include: 1. **Encouragement**: Acknowledging the joy and creativity that hobbies bring to individuals and communities.
The Hillsborough disaster refers to a tragic event that occurred on April 15, 1989, at Hillsborough Stadium in Sheffield, England. It was a human crush during an FA Cup semi-final match between Liverpool and Nottingham Forest, resulting in the deaths of 97 Liverpool supporters and injuries to hundreds of others. The disaster is one of the worst sporting tragedies in British history.
Adams spectral sequences are a sophisticated tool used in algebraic topology and homotopy theory, particularly in the study of stable homotopy groups of spheres and related objects. They are named after Frank Adams, who developed the theory in the 1960s. Here's an overview of the key concepts associated with Adams spectral sequences: 1. **Spectral Sequences**: These are mathematical constructs used to compute homology or cohomology groups in a systematic way.
Bousfield localization is a technique in homotopy theory, a branch of algebraic topology, that focuses on constructing new model categories (or topological spaces) from existing ones by inverting certain morphisms (maps). The concept was introduced by Daniel Bousfield in the context of stable homotopy theory, but it has since found applications in various areas of mathematics.
The term "Slender group" generally refers to a specific type of mathematical group in the context of group theory, particularly in the area of algebra. More formally, a group \( G \) is called a slender group if it satisfies certain conditions regarding its subgroups and representations. In particular, slender groups are often defined in the context of topological groups or the theory of abelian groups.
An ∞-groupoid is a fundamental structure in higher category theory and homotopy theory that generalizes the notion of a groupoid to higher dimensions. In this context, we can think of a groupoid as a category where every morphism is invertible. An ∞-groupoid extends this idea by allowing not only objects and morphisms (which we typically think of in standard category theory), but also higher-dimensional morphisms, representing "homotopies" between morphisms.
Gigantism is a rare endocrine disorder characterized by excessive growth and height significantly above the average, resulting from an overproduction of growth hormone (GH) during childhood, before the growth plates in the bones have fused. This condition typically arises from a benign tumor on the pituitary gland called an adenoma, which secretes excess growth hormone.
Hungarian logicians refer to a group of philosophers and logicians from Hungary who have significantly contributed to various fields of logic, philosophy, and mathematical logic. One of the most famous figures associated with Hungarian logic is László Ludwig, who, along with others, has played a key role in the development of formal logic, modal logic, and other areas of philosophical inquiry. Hungary has a rich intellectual tradition, particularly in mathematical and philosophical logic.
A pressure switch is a type of electrical device that detects the pressure of a gas or liquid and activates or deactivates a certain mechanism or system based on the pressure level. Pressure switches are commonly used in various applications, such as HVAC systems, hydraulic systems, water pumps, and industrial processes. ### Key Features of Pressure Switches: 1. **Operation**: A pressure switch typically consists of a diaphragm or sensing element that moves in response to changes in pressure.
John Vlissides was a notable computer scientist and one of the authors of the influential book "Design Patterns: Elements of Reusable Object-Oriented Software," published in 1994. This book introduced a collection of design patterns that provide solutions to common design problems in object-oriented software development, and it is considered a foundational text in software engineering.
Obversion is a term used in logic, particularly in the context of categorical propositions. It refers to a specific type of logical conversion that transforms a given categorical statement into another by changing its quality (from affirmative to negative or vice versa) and replacing the predicate with its complement. Here’s how obversion works: 1. **Identify the Original Statement**: Start with an affirmative or negative categorical proposition (e.g., "All S are P" or "No S are P").
Ancient Indian mathematics refers to the mathematical concepts and developments that originated in India from ancient times (around 3000 BCE) to the end of the medieval period (around the 16th century CE). Indian mathematicians made significant contributions in various fields such as arithmetic, geometry, algebra, and astronomy.
Asset Health Management (AHM) refers to the systematic process of monitoring, analyzing, and optimizing the health and performance of physical assets throughout their lifecycle. The goal of AHM is to ensure that assets operate efficiently, remain reliable, and deliver maximum value while minimizing risk and cost. This approach is commonly applied in industries such as manufacturing, utilities, transportation, and energy, where the performance of physical assets is critical to operational success.
Package testing refers to the evaluation and verification of software packages for their integrity, functionality, performance, and reliability before they are deployed into production environments. This process typically involves testing the complete software package, which may include the application itself, its dependencies, configuration files, and any accompanying documentation. Key aspects of package testing include: 1. **Functionality Testing**: Ensuring that all features and functionalities of the software operate as expected.
The infinite dihedral group, usually denoted as \( D_{\infty} \) or sometimes \( D_{\infty}^* \), is a mathematical structure in group theory that extends the concept of the dihedral groups. While the finite dihedral group \( D_n \) represents the symmetries of a regular polygon with \( n \) sides (including rotations and reflections), the infinite dihedral group captures symmetries of an infinite linear arrangement.
A **locally finite group** is a type of group in the field of abstract algebra. Specifically, a group \( G \) is called locally finite if every finite subset of \( G \) generates a finite subgroup of \( G \). In other words, for any finite subset \( S \) of \( G \), the subgroup generated by \( S \), denoted by \( \langle S \rangle \), is finite.
Information management refers to the processes and strategies involved in collecting, storing, organizing, maintaining, and disseminating information within an organization. It encompasses a range of activities and practices aimed at ensuring that valuable information is effectively utilized to support decision-making, improve efficiency, and enhance overall organizational performance. Key aspects of information management include: 1. **Information Collection**: Gathering data from various sources, both internal and external, to ensure a comprehensive information base.
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 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.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. - 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