Empirical laws are broad generalizations that are derived from observed data rather than from theory. These laws reflect regularities that have been identified through experimentation and observation in various scientific fields. They are often formulated as general statements that describe consistent patterns or relationships between different phenomena. Here are some key characteristics of empirical laws: 1. **Data-Driven**: They are based on actual measurements and observations rather than theoretical predictions.
The term "Halloween documents" refers to a series of internal Microsoft memos and emails from the late 1990s that were leaked to the public. These documents outlined the company's strategies and opinions regarding its competitors, particularly in relation to the growing prominence of open-source software and the Linux operating system. The most infamous of these documents was a memo written by former Microsoft executive Paul Maritz, which included a variety of strategies on how to deal with the competition and the challenges posed by open-source software.
The Halo occupation distribution is a concept from astrophysics and cosmology, particularly related to the study of dark matter and the formation of galaxies within large-scale structures in the universe. It describes how dark matter halos, which are regions of space dominated by dark matter, host galaxies and other structures. In the context of galaxy formation, a dark matter halo is believed to contain a certain number of baryonic (normal) matter components, such as stars, gas, and dust.
Hannah Fry is a British mathematician, author, and broadcaster known for her work in the field of mathematics and its applications to real-world problems. She often explores the intersection of mathematics and various disciplines, including social science, urban planning, and technology. Fry is also well known for her public speaking and contributions to popular science, including books and documentaries that aim to make complex mathematical concepts more accessible to the general public.
The Hawaii hotspot is a volcanic hotspot located in the central Pacific Ocean, responsible for creating the Hawaiian Islands. A hotspot is a localized area in the Earth's mantle where heat rises, causing melting of the mantle rock and resulting in volcanic activity. The Hawaiian hotspot is believed to be relatively stationary, while the Pacific tectonic plate moves over it. As the plate moves northwestward, new volcanoes are formed in succession, creating a chain of islands and seamounts.
The harmonic mean is a measure of central tendency that is particularly useful for sets of numbers that are defined in relation to some unit, such as rates or ratios. It is defined as the reciprocal of the arithmetic mean of the reciprocals of a set of numbers. To calculate the harmonic mean of a set of \( n \) numbers \( x_1, x_2, ...
HARP stands for "Hierarchical Agglomerative Refinement Process." It's a type of algorithm commonly used in various fields, including machine learning and data analysis. While there might be several interpretations of "HARP" based on the context, it is often associated with hierarchical clustering methods, where the algorithm groups data points into nested clusters.
The Harrowing of Hell is a concept in Christian theology that refers to the event in which Jesus Christ, after his crucifixion and before his resurrection, descended into Hell (or the realm of the dead) to liberate the souls of the righteous who had died before his coming. This event is not explicitly detailed in the canonical Gospels but is alluded to in passages such as 1 Peter 3:18-20 and Ephesians 4:9-10.
Hashiwokakero is a logic-based puzzle game that originated in Japan. The name translates to "Build Bridges" in English, which describes the game's objective. The game is played on a grid that contains various islands, represented by circles. The goal is to connect these islands with bridges, following specific rules: 1. Each island has a number that indicates how many bridges must connect to it. 2. Bridges can only be drawn horizontally or vertically between islands.
Hattons Model Railways is a well-known retailer and manufacturer based in the United Kingdom, specializing in model trains and related accessories. Founded in 1946, Hattons has built a reputation for providing a wide range of model railway products, including locomotives, rolling stock, scenery, and control systems, catering to enthusiasts of all ages.
HCN channels, or hyperpolarization-activated cyclic nucleotide-gated channels, are a class of ion channels that are permeable to cations, particularly sodium (Na⁺) and potassium (K⁺) ions. They play a crucial role in the electrical activity of excitable cells, such as neurons and cardiac myocytes.
The health survival paradox, often referred to in demographic and epidemiological studies, describes a phenomenon where certain groups of individuals appear to have better health outcomes or have higher life expectancies despite facing adverse socioeconomic conditions or health risks. This paradox is commonly observed in studies related to gender, socioeconomic status, and ethnicity. For instance: 1. **Gender**: Women often live longer than men, despite typically experiencing higher rates of certain illnesses.
Healthy Life Years (HLY), also known as Disability-Free Life Expectancy (DFLE) or Active Life Expectancy, is a health indicator that measures the number of years a person can expect to live without serious health issues or disabilities. Unlike traditional measures of life expectancy, which only account for the total number of years lived, HLY focuses on the quality of those years, emphasizing the period of life spent in good health.
A heat pipe is a highly efficient thermal device used for transferring heat from one location to another. It operates on the principle of phase change and convection to move heat away from hot surfaces. Here's a breakdown of how a heat pipe works: ### Structure 1. **Container**: Usually made of metal, the container is sealed and evacuated to create a vacuum. 2. **Working Fluid**: Inside the container, a small amount of liquid (working fluid) is present.
Heinrich Bruns is known primarily for his work as a mathematician and geometer. He was notable for his contributions to the study of geometry and specifically for his research in the field of differential geometry. While specific references to Bruns can pertain to various topics in mathematics, he may not be as widely recognized as some of his contemporaries.
Helen Lewis is a British journalist and writer known for her work in various print and online media. She has held senior roles at notable publications such as **The Atlantic**, where she contributed to discussions on culture, gender, and politics. Lewis is recognized for her thoughtful analysis and commentary, especially around contemporary social issues. In addition to her writing, she has been involved in podcasting and has gained a following for her engaging discussions on current affairs and cultural topics.
Henry Darcy (1803-1858) was a French engineer and hydrologist known for his significant contributions to the field of fluid flow in porous media. He is most famous for formulating Darcy's Law, which describes the flow of a fluid through a porous material. This law provides a foundational principle in groundwater flow and is widely used in hydrogeology, civil engineering, and petroleum engineering.
The Henson graph is an important concept in the field of graph theory, particularly in the study of countable structures and model theory. It is named after the mathematician John Henson who introduced it in the context of descriptive set theory and the study of universal structures. The Henson graph can be defined as follows: - It is a **countable graph** that is **triangle-free**, meaning that it does not contain any triangles (three vertices that are all mutually connected).
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





