Object Modeling in Color (OMiC) is a visual modeling technique used in software development and system design that combines the principles of object modeling with the use of color to enhance understanding and communication. The concept is often grounded in Unified Modeling Language (UML) principles but extends beyond traditional monochromatic diagrams by incorporating color as a means to convey additional information or to represent different aspects of the system. ### Key Features of Object Modeling in Color 1.
In the context of Unified Modeling Language (UML), a **Profile** is a mechanism used to extend UML by creating tailored modeling constructs suitable for specific domains or system requirements. Profiles provide a way to customize UML by adding new stereotypes, tagged values, and constraints, allowing modelers to define domain-specific elements while still adhering to the standard UML framework.
A UML (Unified Modeling Language) tool is a software application that supports the creation, visualization, and management of UML diagrams and models. UML itself is a standardized modeling language used primarily in software engineering to specify, visualize, construct, and document the artifacts of software systems. It encompasses various diagram types that serve different purposes, such as: 1. **Class Diagrams**: Show the structure of a system by depicting its classes, attributes, methods, and the relationships between classes.
Sensitivity analysis in the context of an EnergyPlus model refers to the process of evaluating how the output of the model responds to changes in its input parameters. EnergyPlus is a widely used building energy simulation software designed to model heating, cooling, lighting, ventilating, and other energy flows within buildings. ### Key Components of Sensitivity Analysis: 1. **Purpose**: - To identify which input variables have the most significant impact on the simulation results.
A Tornado diagram is a type of bar chart that is used in sensitivity analysis to visually display the impact of different variables on a specific outcome or metric. It is particularly useful in decision-making processes, project management, risk assessment, and financial forecasting. The name "Tornado diagram" comes from its shape, which resembles a tornado or a funnel. ### Key Features of a Tornado Diagram: 1. **Horizontal Bars**: The diagram displays horizontal bars that represent different variables or factors.
The Feynman checkerboard is a conceptual model used to visualize and understand certain aspects of quantum mechanics, specifically in the context of quantum field theory and the path integral formulation. Introduced by physicist Richard Feynman, the checkerboard model is a way to represent the quantum behavior of a particle in a two-dimensional lattice. In this model, the space-time continuum is represented as a checkerboard where the “squares” represent discrete time and space coordinates.
In the context of mathematics and theoretical physics, particularly in the fields of twistor theory and geometric analysis, a **local twistor** refers to an object or concept that is derived from the broader framework of twistor theory, as developed by Roger Penrose in the 1960s. Twistors provide a different way to analyze spacetime events and geometric structures, focusing on complex geometries rather than traditional real-number representations of space and time.
As of my last update in October 2023, "Tangloids" does not refer to any widely recognized concept, product, or term. It’s possible that it may be a term used in a niche context, a new product, a brand, or even a fictional concept that has emerged after my last knowledge update.
A palindrome is a word, phrase, number, or any other sequence of characters that reads the same forwards and backwards (ignoring spaces, punctuation, and capitalization). Examples of palindromic words include "racecar" and "level." Palindromic phrases could include "A man, a plan, a canal, Panama!" or "Madam, in Eden, I'm Adam." In numbers, an example of a palindrome is 12321.
Axial current is a concept from quantum field theory, particularly in the context of particle physics and gauge theories. It is associated with the transformation properties of fields under specific symmetries, especially related to chiral symmetries and their breaking. In more detail: 1. **Chiral Symmetry**: Axial currents arise in theories that exhibit chiral symmetry, which distinguishes between left-handed and right-handed particles or fields.
Conformal symmetry is a type of symmetry that is invariant under transformations that preserve angles but not necessarily distances. In mathematical terms, a transformation is conformal if it preserves the form of angles between curves at their intersection points. Conformal transformations can include translations, rotations, dilations (scalings), and special transformations such as inversions or more general conformal mappings.
Polychromatic symmetry refers to the concept of symmetry that involves multiple colors or hues. In a broader context, it can be understood in various fields, including art, mathematics, and physics, where multiple dimensions or variations are considered. In art and design, polychromatic symmetry can be observed in patterns and compositions that exhibit symmetrical properties while using a diverse color palette. This contrasts with traditional symmetry, which often emphasizes uniformity in color as well as shape.
The symmetry of second derivatives refers to a result in multivariable calculus often associated with functions of several variables. Specifically, if a function \( f \) has continuous second partial derivatives, then the mixed second derivatives are equal.
Time reversibility is a concept in physics that refers to the idea that the fundamental laws governing the behavior of physical systems do not change if the direction of time is reversed. In other words, a time-reversible process is one where the sequence of events can be reversed, and the system can retrace its steps back to its initial state. In classical mechanics, many physical processes exhibit time reversibility.
Yang–Mills theory is a fundamental framework in theoretical physics that describes the behavior of gauge fields. Named after physicists Chen-Ning Yang and Robert Mills, who proposed it in 1954, the theory is a cornerstone of the Standard Model of particle physics, which describes the electromagnetic, weak, and strong forces.
The Exponentiated Weibull distribution is a probability distribution that generalizes the standard Weibull distribution. It is often used in reliability analysis, failure time analysis, and survival studies because of its flexibility in modeling life data. The Exponentiated Weibull distribution can capture a wider variety of hazard functions than the standard Weibull distribution. ### Properties of Exponentiated Weibull Distribution 1.
Palm cooling refers to a technique or method used to manage temperature and prevent overheating, primarily in electronic devices. In the context of technology, devices like smartphones and laptops can generate significant heat during operation, and effective cooling solutions are essential for maintaining performance and prolonging lifespan.
The Berlin procedure is a term that refers to a specific surgical approach used primarily in the context of cardiac surgery, particularly for patients with severe heart failure or those awaiting transplantation. It typically involves the placement of a ventricular assist device (VAD) to support the heart's function temporarily. The procedure can also apply to patients with acute severe respiratory failure, often seen in cases like ARDS (Acute Respiratory Distress Syndrome).
Decomposition of time series is a statistical technique used to analyze and understand the underlying components of a time series dataset. The main goal of this process is to separate the time series into its constituent parts so that each component can be studied and understood independently. Time series data typically exhibits four main components: 1. **Trend**: This component represents the long-term movement or direction in the data. It indicates whether the data values are increasing, decreasing, or remaining constant over time.
The Divisia index is a method used to measure changes in economic variables, such as output or prices, over time while accounting for the contribution of individual components. It is particularly useful in the context of measuring real GDP or overall productivity because it provides a way to aggregate different goods and services into a single index that reflects changes in quantity and quality. The Divisia index is based on the concept of a weighted average, where the weights are derived from the quantities of the individual components in each period.

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