ObjecTime Developer is a modeling and development environment designed for creating real-time and embedded systems applications. It provides tools that facilitate the design, analysis, and implementation of systems that must operate within strict timing and performance constraints. Key features of ObjecTime Developer include: 1. **Unified Modeling Language (UML) Support**: It uses UML for specifying system design, which helps in visualizing the architecture and components of the system.
QVT stands for "Query/View/Transformation," and it is a specification language used in model-driven engineering (MDE), particularly in the context of the Object Management Group (OMG). QVT is designed for transforming models from one form to another and consists of three main components: 1. **Query**: This part allows users to define queries that can retrieve information from models. It serves as a way to extract specific data or elements from a given model.
Telelogic was a software company that specialized in tools for systems and software development, particularly in the areas of requirements management, model-based development, and software configuration management. It was known for its flagship products such as DOORS, a tool for requirement management, and Tau, a modeling tool for real-time and embedded systems. Telelogic focused on helping organizations improve their software and systems development processes by providing tools that supported methodologies like UML (Unified Modeling Language) and systems engineering practices.
Umple is an open-source modeling language and software development framework used to create and maintain software applications. It focuses on integrating modeling and programming by allowing developers to define data models and behaviors in a high-level, concise manner. Umple combines aspects of object-oriented programming with a modeling approach, enabling users to specify classes, associations, state machines, and other constructs directly in the code.
Visual modeling is a technique used to represent and communicate complex information or systems through visual diagrams and graphical representations. It simplifies understanding by converting abstract concepts, processes, or data into visual formats, making it easier for individuals or teams to analyze, design, and communicate ideas.
Experimental uncertainty analysis is a process used in scientific experimentation to quantify and evaluate the uncertainties associated with measurement results. It involves identifying and estimating the various sources of uncertainty that can affect the precision and accuracy of experimental data. Here are some key components and steps involved in experimental uncertainty analysis: 1. **Identification of Uncertainties**: Researchers identify potential sources of uncertainty in their experiments. This can include instrumental errors, environmental conditions, systematic errors, and human factors.
A fermionic field is a type of quantum field that describes particles known as fermions, which have half-integer spin (e.g., spin-1/2, spin-3/2). The most well-known examples of fermions are electrons, protons, and neutrons. Fermions obey the Pauli exclusion principle, which states that no two identical fermions can occupy the same quantum state simultaneously.
In mathematics, a relation \( R \) on a set \( A \) is called symmetric if, for any elements \( a \) and \( b \) in \( A \), whenever \( a \) is related to \( b \) (i.e., \( (a, b) \in R \)), it also holds that \( b \) is related to \( a \) (i.e., \( (b, a) \in R \)).
The crystal system is a classification of crystals based on their internal symmetry and geometric arrangement. In crystallography, scientists categorize crystals into seven distinct systems according to their unit cells—the smallest repeating unit that reflects the symmetry and structure of the entire crystal. The seven crystal systems are: 1. **Cubical (or Isometric)**: Characterized by three equal axes at right angles to each other. Example: salt (sodium chloride).
The term "Einstein Group" doesn't refer to a widely recognized concept in academia or other fields as of my last update in October 2023. However, it could relate to several different contexts depending on what you're referencing: 1. **Scientific Community**: It might refer to a group of physicists or researchers who focus on topics related to Einstein's theories, especially in the realms of relativity or quantum mechanics.
Isometry is a concept in mathematics and geometry that refers to a transformation that preserves distances between points. In other words, an isometric transformation or mapping maintains the original size and shape of geometric figures, meaning the distances between any two points remain unchanged after the transformation. There are several types of isometric transformations, which include: 1. **Translations**: Moving every point of a figure the same distance in a specified direction.
Finite spherical symmetry groups are groups of rotations (and potentially reflections) that preserve the structure of a finite set of points on a sphere. These groups are closely related to the symmetries of polyhedra and can be understood in the context of group theory and geometry. Here are some of the main finite spherical symmetry groups: 1. **Cyclic Groups (C_n)**: These groups represent the symmetry of an n-sided regular polygon and have order n.
The Murnaghan–Nakayama rule is a tool used in representation theory, specifically in the context of symmetric functions and the study of representations of the symmetric group. This rule provides a method for calculating the characters of the symmetric group when restricted to certain subgroups, particularly the Young subgroups.
The Poincaré group is a fundamental algebraic structure in the field of theoretical physics, particularly in the context of special relativity and quantum field theory. It describes the symmetries of spacetime in four dimensions and serves as the group of isometries for Minkowski spacetime. The group includes the following transformations: 1. **Translations**: These are shifts in space and time.
In mathematics, symmetry refers to a property where a shape or object remains invariant or unchanged under certain transformations. These transformations can include operations such as reflection, rotation, translation, and scaling. Essentially, if you can perform a transformation on an object and it still looks the same, the object is said to possess symmetry.
"The Ambidextrous Universe" is a book written by physicist Robert Gilmore, published in 1992. The book explores the concept of symmetry in physics, particularly the idea of parity—a property describing how physical phenomena behave under spatial inversion. One of the central themes of the book is the idea that the universe can be seen as having both a "left-handed" and a "right-handed" aspect, reflecting the symmetry properties of physical laws.
Transformation geometry is a branch of mathematics that focuses on the study of geometric figures and their properties under various transformations. These transformations can change the position, size, or orientation of the figures, while often preserving some of their fundamental properties. Some of the primary types of transformations in geometry include: 1. **Translation**: Moving a figure from one place to another without changing its shape, size, or orientation. This is done by shifting every point of the figure a certain distance in a specified direction.
A triptych is a work of art that is divided into three sections or panels. These panels are usually hinged together and can be displayed either open or closed. Triptychs have been used in various forms of art throughout history, particularly in painting, but they can also be found in sculpture and photography. Traditionally, triptychs were common in medieval Christian art and often depicted religious scenes, such as altarpieces in churches.
Zimmer's conjecture is a significant hypothesis in the field of mathematics, particularly in the areas of differential geometry, group theory, and dynamical systems. Proposed by Robert Zimmer in the 1980s, the conjecture suggests that any smooth action of a higher-rank Lie group on a compact manifold admits some form of rigidity.
Notably, the password is hardcoded and its hash is stored in the JavaScript itself. The result is then submitted back via a POST request to /cgi-bin/goal.cgi.
TODO: how is the SHA calculated? Appears to be manual.

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!
We have two killer features:
  1. 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-calculus
    Articles 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/derivative
  2. 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.
    Figure 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    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.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
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