The Statue of Liberty in Oklahoma City is a lesser-known replica of the original Statue of Liberty located in New York City. This particular statue is located in the city's Bricktown district and serves as a symbol of freedom and democracy. It was placed in the area to commemorate the important historical and cultural connections between the United States and France. The statue adds a touch of patriotic spirit to the city and is often visited by both locals and tourists.
The Statue of Liberty in Seattle refers to a lesser-known replica of the famous Statue of Liberty in New York City. This smaller version is located on Alki Point in West Seattle. The statue was created as part of a private project by the local Seattle community in the 1950s and is not officially sanctioned by the United States government. The Seattle version of the statue was created in the 1950s to honor education, and it stands at approximately 15 feet tall.
"Strengthen the Arm of Liberty" is a phrase associated with efforts to promote freedom, support civil rights, and enhance democratic values. It appears prominently in various contexts, including educational initiatives, social movements, and advocacy for human rights. One notable context for this phrase is in the realm of American history and politics, where it is often invoked in discussions about civil liberties, social justice, or national security. It may also refer to specific campaigns or organizations dedicated to upholding and advancing these ideals.
The Strengthen the Arm of Liberty Monument is a significant memorial located in Overland Park, Kansas. It honors the contributions and sacrifices of veterans, specifically acknowledging those who have served in the military to defend freedom and democracy. The monument features a prominent statue of a soldier, symbolizing the bravery and dedication of military personnel. The monument was established as a part of a broader effort to recognize the service of veterans and to educate the public about the importance of liberty and the sacrifices made to preserve it.
Differential structures refer to the mathematical frameworks that allow us to study and analyze the properties of smooth manifolds using the tools of differential calculus. A smooth manifold is a topological space that locally resembles Euclidean space and has a differential structure that enables the definition of concepts such as smooth functions, differentiability, and tangent spaces. Here are some key aspects of differential structures: 1. **Manifolds**: A manifold is a topological space that is locally homeomorphic to Euclidean space.
A Clifford module bundle is a mathematical construct that arises in the context of differential geometry and representation theory, particularly in relation to spin geometry and the manipulation of spinors. To understand what a Clifford module bundle is, let's break this down into a few components: 1. **Clifford Algebras:** A Clifford algebra is an algebra that is generated by a vector space equipped with a quadratic form.
The Bagger-Lambert-Gustavsson (BLG) action is a theoretical framework in the context of supersymmetric gauge theories, specifically dealing with three-dimensional (3D) theories that include gauge fields and matter fields. The action was proposed independently by Craig Bagger, Neil Lambert, and Per Gustafsson around 2006 as a way to describe certain aspects of multiple M2-branes in string theory.
In the context of string theory, a domain wall refers to a type of solitonic solution in higher-dimensional field theories that can arise within the framework of string theory. Specifically, domain walls can represent interfaces or boundaries in spacetime where the physical properties of the fields change, often associated with a change in vacuum states or phases of the underlying field theory. In more technical terms, a domain wall is typically a (d-1)-dimensional object embedded in a d-dimensional spacetime.
The Dual Resonance Model (DRM) is a theoretical framework primarily used in particle physics, particularly in the study of strong interactions and the behavior of hadrons. It was developed to address some shortcomings of earlier models like the quark model and the meson spectrum predictions.
Freund–Rubin compactification is a method used in the context of string theory and higher-dimensional theories of gravity, particularly in relation to the compactification of extra dimensions. The concept was introduced by Justin Freund and Marvin Rubin in the early 1980s. In string theory and related theories, we often encounter scenarios where the observable universe is modeled as a four-dimensional spacetime (3 spatial dimensions plus time) embedded within a higher-dimensional space.
Hořava-Witten theory is a framework in theoretical physics that emerged in the context of string theory and M-theory. Proposed by Petr Hořava and Edward Witten in 1996, the theory seeks to provide a consistent way to construct non-perturbative theories based on M-theory, which is believed to unify all five superstring theories.
The Kalb-Ramond field is a theoretical construct in physics, specifically in the context of string theory and higher-dimensional field theories. It is a type of antisymmetric tensor field, typically denoted as \( B_{\mu\nu} \), where the indices \( \mu \) and \( \nu \) represent spacetime dimensions.
Little String Theory (LST) is a type of theoretical framework in string theory that explores a specific kind of string theory defined in a lower-dimensional context. It is particularly fascinating because it captures some of the features of string theory while obviating some of the complexities found in more conventional string formulations. ### Key Features of Little String Theory: 1. **Reduced Dimensions**: LST is typically formulated in lower dimensions than usual string theories.
Matrix string theory is a theoretical framework in string theory that aims to describe fundamental aspects of quantum gravity and the behavior of string-like objects at a microscopic level. It is particularly associated with the study of non-perturbative aspects of string theory and offers a way to understand the dynamics of strings and the underlying spacetime structure through matrix models. The key idea behind matrix string theory is to represent strings or branes as matrices, which are mathematical objects that can encode information about multiple degrees of freedom.
An NS5-brane, or Neveu-Schwarz five-brane, is a type of extended object in string theory. Branes, which are short for "membranes," can exist in various dimensions, and they play a crucial role in the framework of string theory, particularly in understanding non-perturbative aspects of the theory.
N = 2 superstring refers to a specific type of superstring theory characterized by its amount of supersymmetry. In the context of superstring theory, "N" typically denotes the number of supersymmetries that are present in the theory. Therefore, N = 2 superstring theories have a higher amount of supersymmetry compared to theories with lower values of N, such as N = 1 or N = 0.
Type 0 string theory is a formulation of string theory that can be understood as a non-supersymmetric version of string theory. In the broader context of string theory, there are various "types" or "flavors," with Type I, Type IIA, Type IIB, and the heterotic string theories being among the most well-known. Type 0 string theories stand out because they do not incorporate supersymmetry.
Twistor string theory is a theoretical framework that seeks to reconcile aspects of quantum mechanics and general relativity, particularly in the context of string theory and the geometry of spacetime. Developed in the 1990s by mathematicians and physicists, including Roger Penrose, twistor theory originally emerged as a geometric approach to understanding the fundamental nature of space, time, and physical reality.
"Real structure" can refer to different concepts depending on the context in which it is used. Here are a few interpretations: 1. **Mathematical Context**: In mathematics, "real structure" might refer to a structure that is defined over the real numbers. For instance, in topology or algebra, a "real structure" can mean a property or attribute of a mathematical object that involves real numbers, such as real vector spaces or real manifolds.
Pinned article: ourbigbook/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