Mathematical visualization refers to the use of visual representations to understand, communicate, and explore mathematical concepts and relationships. It involves the creation and manipulation of graphical representations, diagrams, models, and other visual tools to help elucidate mathematical ideas, making them more accessible and comprehensible. ### Key Aspects of Mathematical Visualization: 1. **Geometric Representations**: Using shapes, graphs, and spatial relationships to visualize concepts like functions, transformations, and topology.
The term "double majority" can refer to different concepts depending on the context, but it generally involves two distinct criteria that must be met for a decision or action to be considered valid or approved. 1. **Political Context**: In some voting systems, a double majority is required for certain types of decisions, such as constitutional changes or significant legislative measures.
An ENI number, or "Employer's National Identification Number," is a unique identification number assigned to employers in certain countries, specifically in Italy. It is used for various administrative purposes, including tax and social security contributions. The ENI number helps authorities track employer-related obligations and ensures accurate record-keeping for employment and taxation purposes.
Ogi Ogas is a neuroscientist and author, known for his work on topics related to neuroscience, artificial intelligence, and behavior. He has co-authored several books, including "A Billion Wicked Thoughts," which explores the sexual preferences of men and women using data from online behavior. Ogas has been involved in research that examines how the brain processes information and how this knowledge can be applied to understand human behavior, including aspects related to sexual attraction and decision-making.
The spike-triggered average (STA) is a method used in computational neuroscience to characterize the relationship between neuronal spike train activity and sensory stimuli. It involves analyzing how specific inputs or stimuli relate to the output of a neuron, particularly the times at which the neuron fires action potentials (or spikes). Here's how it works, step by step: 1. **Data Collection:** A neuron's spiking activity is recorded alongside a sensory stimulus (such as a visual or auditory signal).
NGC 6334, also known as the Cat's Paw Nebula, is an emission nebula located in the constellation Scorpius. It is situated approximately 5,500 light-years away from Earth and is one of the most active star-forming regions in our galaxy. The Cat's Paw Nebula is notable for its distinctive shape, which resembles a cat's paw, hence its name.
The Free Energy Principle (FEP) is a theoretical framework that seeks to explain how biological systems maintain their organization and functionality in the face of an uncertain and changing environment. It is rooted in principles from thermodynamics, information theory, and neuroscience. The core idea of the FEP is that living systems strive to minimize their free energy, which can be understood as a measure of surprise or uncertainty. At its most basic level, the FEP posits that organisms engage in a form of active inference.
A ship identifier is a unique code or number assigned to a vessel to distinguish it from other ships. These identifiers serve various purposes, including tracking, registry, and safety. Some common types of ship identifiers include: 1. **IMO Number**: The International Maritime Organization assigns a unique 7-digit number to each commercial vessel. This number remains with the ship throughout its operational lifetime, even if it changes names or ownership.
Kuhn's theorem can refer to several concepts in different fields, but one of the most prominent is related to game theory and social choice theory, specifically "Kuhn's theorem" regarding extensive form games and backward induction. In the context of game theory, Kuhn's theorem states that in certain types of complete information games represented in extensive form, rational players will make choices that can be predicted based on the backward induction method.
Strassen's algorithm is a divide-and-conquer algorithm for matrix multiplication, developed by Volker Strassen in 1969. It is notable for reducing the computational complexity of multiplying two \( n \times n \) matrices from the standard \( O(n^3) \) to approximately \( O(n^{2.81}) \).
Upshot-Knothole Dixie refers to a series of nuclear tests conducted by the United States as part of the Upshot-Knothole nuclear test series in 1953. This particular test took place on March 4, 1953, at the Nevada Test Site. The Upshot-Knothole series was notable for a number of atmospheric tests, and "Dixie" was a specific test designed to evaluate the effects of a nuclear explosion.
JOM, short for "Journal of Occupational Medicine," is a peer-reviewed academic journal that focuses on the field of occupational health and medicine. It publishes research articles, reviews, and case studies that address various aspects of health and safety in the workplace, covering topics such as occupational diseases, workplace ergonomics, environmental health issues, and health policies related to occupational settings. The journal aims to disseminate knowledge and promote research that enhances the understanding of how work environments affect health and well-being.
A cupping tester is a specialized instrument used primarily in the field of textiles, specifically for assessing the dyeing properties and colorfastness of fabrics. This technique is particularly common in the textile and fashion industries to evaluate how a fabric reacts to specific dye processes. The cupping tester operates by using small sample cups into which the fabric samples are placed. The dye solution is then applied to the fabric under controlled conditions.
Unified Strength Theory (UST) is a theoretical framework used in materials science and engineering to predict the failure of materials under various loading conditions. It seeks to provide a comprehensive approach to understanding how materials behave when subjected to different types of stress, including tensile, compressive, and shear stress. The main goal of Unified Strength Theory is to unify different failure criteria that have been developed for specific types of materials or loading conditions into a single, cohesive theory.
Experimental archaeometallurgy is a subfield of archaeology and materials science that involves the study of ancient metalworking techniques and processes through experimental methods. It seeks to understand how ancient cultures produced and used metals by recreating and analyzing their metallurgical practices in a controlled environment. Key aspects of experimental archaeometallurgy include: 1. **Reproduction of Ancient Techniques**: Archaeologists and scientists attempt to replicate historical metalworking methods, such as smelting, alloying, casting, and forging.
Nanomorphic cells refer to a theoretical concept in nanotechnology and bioengineering that applies to cell structures or systems that exhibit properties at the nanoscale. While there is not a widely recognized definition for "nanomorphic cells" specifically, the term can suggest cells that have been engineered or modified at the nanoscale to enhance their functionality, stability, or performance.
Hermann–Mauguin notation, also known as the international notation or Schoenflies notation, is a system used in crystallography to describe the symmetry and properties of crystal structures. This notation helps categorize crystals based on their symmetry operations, such as rotations, reflections, and inversions, allowing scientists to communicate the structural characteristics of different crystalline materials succinctly. In Hermann–Mauguin notation, a crystal system is represented by a unique symbol that combines letters and numbers.
"Dye-and-pry" commonly refers to a technique used in the field of chemistry and materials science, particularly in the study of polymers. However, the term can also be associated with methods in biology, such as gene expression analysis. In the context of polymers, dye-and-pry typically involves labeling or tagging a polymer with a fluorescent dye to study its properties. This method can help in understanding the interactions of polymers, their stability, or their behavior under various conditions.

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 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.
  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