Ordinal notation is a framework used in set theory and mathematical logic to represent and manipulate ordinals, which are a generalization of natural numbers that describe the size and order type of well-ordered sets. Ordinals extend beyond finite numbers to include transfinite numbers, allowing for the representation of infinite quantities in a coherent way. The concept of ordinal notation was developed to facilitate the understanding and comparison of ordinals, especially when dealing with larger and more complex ordinals that cannot be easily described using standard notation.
The Four Exponentials Conjecture is a mathematical conjecture that relates to the asymptotic behavior of certain types of differential equations, specifically those that involve exponential growth. More formally, the conjecture is focused on the minimal growth rates of solutions to systems of certain differential equations.
Tracy Slatyer is a prominent theoretical physicist known for her work in the fields of particle physics and cosmology, particularly in the context of dark matter and its potential interactions with other particles. She has contributed to research on topics such as the implications of dark matter for astrophysical phenomena and the nature of the universe. Slatyer is also known for her academic roles and publications in reputable scientific journals.
Wilhelm von Beetz refers to a historical figure, a German statesman, and diplomat active in the 19th century.
Bulk micromachining is a manufacturing process used primarily in the microfabrication of devices and structures from a bulk material, typically silicon. This technique is part of the broader field of micromachining, which involves the design and production of micro-scale components and systems, often for applications in MEMS (Micro-Electro-Mechanical Systems), sensors, and actuators. In bulk micromachining, the material is selectively removed from the bulk substrate to create three-dimensional microstructures.
Frank Morgan is an American mathematician known for his work in the field of differential geometry, particularly in the areas of minimal surfaces and geometric measure theory. He is a professor at Williams College in Massachusetts and has made significant contributions to understanding the mathematical properties of shapes and surfaces. In addition to his research, Morgan is recognized for his efforts in mathematics education and outreach. He has authored several textbooks and has been involved in promoting mathematics through various public initiatives.
Uniform convergence is a concept in mathematical analysis that pertains to the convergence of a sequence (or series) of functions.
Units of flow generally refer to the ways in which the flow of a substance (like liquid or gas) is quantified. Flow can be defined in several contexts, such as volumetric flow rate or mass flow rate. Here are some common units of flow: 1. **Volumetric Flow Rate**: This measures the volume of fluid that passes through a given surface per unit of time.
Valery Chalidze is a prominent Russian writer, poet, and human rights activist, known for his work in literature and his efforts in advocating for civil liberties. Born in 1938, Chalidze gained recognition for his writings that often addressed themes of freedom, social justice, and the human condition. He has been involved in various human rights campaigns and has raised awareness of issues related to repression in the Soviet Union and post-Soviet Russia.
Valuation of options refers to the process of determining the fair value or price of an options contract. Options are financial derivatives that give the holder the right, but not the obligation, to buy (call option) or sell (put option) an underlying asset at a specified price (the strike price) within a specified time period (until the expiration date). There are several methods and models used to value options, with the most common being: ### 1.
Vertical deflection refers to the displacement or movement of a structure, such as a beam, bridge, or any structural component, in the vertical direction due to applied loads or environmental factors. It is an important consideration in structural engineering, as excessive vertical deflection can affect the performance, safety, and serviceability of the structure.
In computing, "1942" can refer to a couple of different things, depending on the context: 1. **1942 (Video Game)**: It is a classic vertical scrolling shoot 'em up arcade game developed by Konami and released in 1984. The game is set during World War II and involves players controlling a plane to shoot down enemy aircraft while avoiding bullets and obstacles. It was a popular game in arcades and has seen various ports and remakes over the years.
"The World Economy: Historical Statistics" is a comprehensive source of data that provides various economic indicators and statistics from across the globe over a long historical period. It typically includes quantitative data on aspects such as GDP (Gross Domestic Product), trade, investment, population, and other key economic variables for a wide range of countries. The publication aims to facilitate research and analysis of historical economic trends, allowing economists, historians, and policymakers to understand the development of the world economy over time.
The concepts of absolute space and absolute time are associated with the classical physics framework laid out by Sir Isaac Newton in the late 17th century. In his view, space and time were considered to be independent and uniform entities against which motion and events could be measured. **Absolute Space:** - Absolute space refers to a hypothetical, immutable space that exists independently of any objects within it. According to Newton, this space is consistent and uniform, providing a backdrop against which events can take place.
The Abstraction Principle in computer programming is a fundamental concept that involves reducing complexity by hiding the details of implementation and exposing only the essential features of a system or component. This principle allows developers to manage complexity by focusing on what a component does rather than how it does it. Here are some key points about the Abstraction Principle: 1. **Simplification**: Abstraction simplifies complex systems by breaking them down into more manageable parts or layers.
The A.C. Redfield Lifetime Achievement Award is an honor given by the American Fisheries Society (AFS) to recognize individuals for their extraordinary contributions to the field of fisheries science and management over the course of their careers. Named after Dr. Arthur Charles Redfield, a notable figure in marine science whose work largely advanced the understanding of marine ecosystems, the award aims to celebrate those who have made significant impacts in fisheries through research, advocacy, or management practices.
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