Pencil Code is an online platform designed for teaching programming through interactive coding environments. It allows users, especially students, to learn coding concepts using a visual and engaging interface. The platform supports various programming languages, including JavaScript, and encourages creativity and problem-solving through projects and challenges. Pencil Code often includes features such as: 1. **Visual Coding**: Users can create animations, drawings, and games with simple drag-and-drop tools, making it accessible for beginners.
The Local-Density Approximation (LDA) is an approach used in the field of density functional theory (DFT) to approximate the exchange-correlation energy of a many-electron system. In LDA, it is assumed that the exchange-correlation energy at a point in space is a function of the electron density at that same point. This means that the approximation relies on the idea that the behavior of the system can be described by the properties of an electron gas with uniform density.
Coorbit theory is a mathematical framework used in the analysis of functions and signals, particularly in the context of time-frequency analysis and wavelet theory. It is primarily concerned with the study of function spaces and how they interact with various transforms, such as the Fourier transform and wavelet transforms.
The term "singular trace" can refer to several concepts depending on the context, primarily in mathematics and certain applied fields. Here are a few interpretations: 1. **Mathematical Context**: In linear algebra or functional analysis, the trace of a matrix is the sum of its diagonal elements. A "singular trace" might refer to the trace of a singular matrix (a matrix that is not invertible).
"Southland Tales" is a 2006 science fiction film written and directed by Richard Kelly, who is also known for his earlier film "Donnie Darko." The movie is set in a dystopian version of Los Angeles in the near future, specifically in the year 2008, and it explores themes of war, government surveillance, and the nature of reality through its complex narrative.
The Haldane–Shastry model is an important theoretical model in condensed matter physics, particularly in the study of quantum magnetism and lattice systems. Named after physicists F.D.M. Haldane and B.S. Shastry, who contributed to its development, the model describes a one-dimensional system of spin-1/2 particles arranged on a lattice with specific interactions.
A "particle in a ring" is a fundamental problem in quantum mechanics that describes a quantum particle constrained to move on the circumference of a circle (or ring) of a fixed radius. This model is significant for understanding certain concepts in quantum mechanics, such as quantization, angular momentum, and the behavior of particles in systems with circular symmetry.
As of my last knowledge update in October 2023, "DNA teleportation" is not a scientifically recognized term or concept in the field of genetics or physics. However, the concept of "teleportation" is often associated with quantum mechanics, particularly quantum teleportation, which involves the transfer of quantum information between particles at a distance without moving the particles themselves.
"The Power" is a self-help book written by Rhonda Byrne, published in 2010. It is a follow-up to her earlier book, "The Secret," which focuses on the law of attraction and the idea that positive thinking can manifest one's desires and improve one's life. In "The Power," Byrne emphasizes the importance of love as a fundamental force in achieving personal fulfillment and success.
Lasers are devices that emit light through a process of optical amplification based on the stimulated emission of electromagnetic radiation. The term "laser" is an acronym for "Light Amplification by Stimulated Emission of Radiation." ### Key Characteristics of Lasers: 1. **Coherence**: Laser light is highly coherent, meaning that the light waves are in phase in both time and space. This quality allows lasers to produce focused beams of light over long distances.
The Hanbury Brown and Twiss (HBT) effect refers to a quantum phenomenon that is observed in the measurement of intensity correlations of light waves, particularly in the context of photon statistics. This effect was first studied by physicists Robert Hanbury Brown and Richard Q. Twiss in the 1950s when they were investigating the characteristics of light from stars and other sources.
A quantum amplifier is a device that enhances the strength of quantum signals or quantum states while preserving their quantum characteristics, such as coherence and entanglement. These amplifiers are crucial for various applications in quantum information processing, quantum communication, and quantum computing. Unlike classical amplifiers, which can introduce noise and distort the signals being amplified, quantum amplifiers aim to operate under the constraints imposed by quantum mechanics.
Quantum reflection is a phenomenon observed in quantum mechanics, particularly related to the behavior of particles at very short distances and in specific potential landscapes. It occurs when a quantum particle, such as an atom or a photon, encounters a potential barrier that is lower than the particle's energy, leading to the particle being reflected rather than transmitted through the barrier. In classical physics, it is expected that a particle with enough energy will pass through a barrier.
Multiverse analysis is a methodological approach often used in research, particularly within the fields of psychology, social sciences, and biomedical research. It involves systematically exploring and reporting multiple valid analytical approaches to a dataset. The core idea is to examine how different assumptions, decisions regarding data handling, and analytical strategies can affect the results and interpretations of a study.
"Blizzard" is a family-friendly film released in 2003, directed by George Miller. The story revolves around a young girl named Emma who, after finding a mysterious baby polar bear named Blizzard, embarks on an adventure that leads her to rescue the bear and ultimately help her community. The film combines elements of fantasy and adventure, focusing on themes of friendship, caring for animals, and the spirit of Christmas.
"Ghost" is a romantic fantasy film released in 1990, directed by Jerry Zucker and starring Patrick Swayze, Demi Moore, and Whoopi Goldberg. The film tells the story of Sam Wheat (played by Swayze), a successful banker who is murdered during a botched mugging. After his death, he becomes a ghost and discovers that he must protect his girlfriend, Molly Jensen (played by Moore), from danger.
"Water, Water Every Hare" is a 1952 animated short film produced by Warner Bros. and featuring the iconic characters Bugs Bunny and Elmer Fudd. Directed by Chuck Jones, the cartoon is known for its comedic plot and clever dialogue. In the short, Elmer Fudd is trying to capture Bugs Bunny, who is on his usual antics.
Quantum reality refers to the nature of reality as described by quantum mechanics, the fundamental theory that describes the physical properties of nature at the scale of atoms and subatomic particles. It involves several key concepts that challenge our classical intuitions about how the universe works: 1. **Wave-Particle Duality**: Quantum objects, like electrons and photons, exhibit both wave-like and particle-like properties.
"Physica Speculatio" is a work attributed to the 17th-century philosopher and scientist, Johannes Kepler. Although the title could be translated to "Speculations on Physics," it is not as widely known as some of Kepler's other works, such as "Astronomia Nova," "Harmonice Mundi," or "Lunar Astronomy.

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