A **posynomial** is a specific type of function commonly used in optimization and mathematical programming, particularly within the field of geometric programming. A posynomial is defined as a sum of monomials, where each monomial is a product of non-negative variables raised to real-valued exponents.
The Cathode-ray tube amusement device is an early electronic game developed in the 1950s, which is considered one of the first examples of a video game. Created by Thomas T. Goldsmith Jr. and Estle Ray Mann, the device was patented in 1948, and it utilized a cathode-ray tube (CRT) to project images on a screen.
The Quadratic Integrate-and-Fire (QIF) model is a mathematical representation used to describe the behavior of a neuron. It builds upon the simpler Integrate-and-Fire (IF) model by incorporating quadratic nonlinearity to more accurately represent the dynamics of action potentials (spikes) in neurons.
The SYZ conjecture, named after mathematicians Shing-Tung Yau, Richard S. Palais, and Andrew Strominger, is a conjecture in the field of mirror symmetry and algebraic geometry. Specifically, it pertains to the relationship between Calabi-Yau manifolds and their mirror pairs.
As of my last knowledge update in October 2021, there was no widely known individual named Evgeni Kharadze. It's possible that he may be a lesser-known figure in a specific field or a more recent personality that emerged after that time. If you have more context or specific details about who Evgeni Kharadze is or the field he is associated with, I might be able to help!
Schwinger parametrization is a technique used in quantum field theory and theoretical physics to rewrite certain types of integrals, particularly those that involve propagators or Green's functions. This method allows for a more amenable form of integration, especially in the context of loop integrals or when evaluating Feynman diagrams.
The Seneca Effect is a concept that describes how complex systems tend to collapse or decline rapidly after a period of growth or stability, despite often showing a more gradual rise. Named after the Stoic philosopher Seneca the Younger, who famously stated, "It is not how we make mistakes, but how we correct them that defines us," the term is often used in discussions of economics, environmental science, and social dynamics. The Seneca Effect highlights the asymmetrical nature of growth and decline in systems.
The term "small control property" is often discussed in the context of functional analysis and operator theory. It pertains to a specific characteristic of certain types of Banach spaces or functional spaces. A space is said to have the small control property if, roughly speaking, every bounded linear operator from this space into a Hilbert space can be approximated by finite-rank operators in a certain way.
A **topological monoid** is an algebraic structure that combines the properties of a monoid with those of a topological space.
Spheroidal wave functions arise in the solutions to the spheroidal wave equation, which is a type of differential equation encountered in various fields such as quantum mechanics and electromagnetic theory. They are particularly useful in problems involving potentials that are not entirely spherical but have a prolate (elongated) or oblate (flattened) shape.
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