The theta function of a lattice is a special type of mathematical function that arises in the context of complex analysis, number theory, and mathematical physics. Specifically, it is related to the theory of elliptic functions, modular forms, and can be used in various applications including statistical mechanics and string theory. A lattice in this context is typically defined as a discrete subgroup of the complex plane generated by two linearly independent complex numbers \( \omega_1 \) and \( \omega_2 \).
Edison's Black Maria, also known as the Black Maria studio, was the first movie studio in the United States, created by inventor Thomas Edison in 1893. Located in West Orange, New Jersey, the studio was a small, tar-paper-covered building that was designed to be a versatile, movable structure. Its unique design included a rotating roof, allowing natural light to enter at various angles—ideal for filming.
Cultural depictions of Thomas Edison are varied and extensive, reflecting his status as one of the most influential inventors and entrepreneurs in American history. Here are some common themes and representations across various forms of culture: 1. **Film and Television**: Edison has been portrayed in numerous films and television shows, often depicted as a brilliant and sometimes controversial figure. These portrayals can range from heroic to complex, highlighting both his innovative spirit and his sometimes ruthless business practices.
35 mm movie film refers to a specific film format used in motion pictures and still photography. The designation "35 mm" refers to the width of the film strip, which is 35 millimeters. This format has been one of the most common film sizes used in the film industry since the early 20th century. Here are some key points about 35 mm movie film: 1. **Physical Characteristics**: The film strip comprises a series of frames that capture images.
Alfred Clark was an American filmmaker and director active in the early 20th century, particularly known for his work in the silent film era. He was involved in the production of several short films, often associated with the Biograph Company, where he directed a number of influential and innovative works. One of his notable contributions to cinema was the development of special effects and innovative techniques in storytelling.
Consolidated Edison, Inc., commonly known as Con Edison, is one of the largest investor-owned energy companies in the United States. Headquartered in New York City, it provides electric, gas, and steam services to customers in New York City and surrounding areas. The company's main divisions include: 1. **Con Edison of New York**: This division delivers electricity and natural gas to residential and commercial customers.
Thomas Alva Edison was born on February 11, 1847, in Milan, Ohio, USA. His birthplace is significant as it marked the beginning of the life of one of the most prolific inventors in history. The house where he was born still stands and is preserved as a historical site. Visitors to Milan can learn about Edison's early life and the impact of his inventions on modern society.
Free Energy Perturbation (FEP) is a computational technique used in statistical mechanics and molecular dynamics to calculate the free energy differences between two or more states of a system. It is particularly useful for studying processes such as ligand binding, protein folding, or the solvation of molecules. FEP allows researchers to compute the free energy change associated with perturbing the system from one state to another through a series of intermediate states.
The Knowledge Argument is a philosophical thought experiment that challenges physicalism, the view that everything about the mind can be explained by physical processes and properties. It was most famously presented by philosopher Frank Jackson in his paper "What Mary Knew" (1982). In the thought experiment, Jackson describes a character named Mary, who is a brilliant neuroscientist who has lived her entire life in a black-and-white room and has never seen colors.
The Feynman sprinkler is a thought experiment proposed by physicist Richard Feynman. It involves a simple device consisting of a sprinkler that shoots water in a reverse direction, typically considered in the context of whether it would spin in the opposite direction when water is drawn in. In the classic scenario, the sprinkler is oriented so that it freely rotates, and water is either being expelled from it or being drawn into it.
Galileo's ship typically refers to the "Galileo" spacecraft, which was a NASA mission launched in 1989 to study Jupiter and its moons. It provided significant scientific insights about the largest planet in our solar system, including detailed observations of its atmosphere, magnetic field, and several of its moons, such as Europa, Ganymede, and Callisto.
The tachyonic antitelephone is a hypothetical concept in theoretical physics that involves the use of hypothetical particles called tachyons, which are theorized to travel faster than the speed of light. The concept was introduced by physicists to explore the implications of faster-than-light communication. In essence, the tachyonic antitelephone is a thought experiment that suggests a method of communication using tachyons.
Anna-Maria Hefele is a professional musician and vocalist known for her exceptional skills in overtone singing, a technique that allows a singer to produce multiple pitches simultaneously. She is particularly recognized for her contributions to traditional and contemporary music, as well as her performances that showcase the unique qualities of overtone singing. Hefele has been involved in various musical projects and collaborations, often blending different genres and cultural influences in her work.
Egschiglen is a traditional form of Mongolian throat singing, known as "Khoomei," which allows singers to produce multiple pitches simultaneously. The term "Egschiglen" often specifically refers to a style or repertoire of throat singing that showcases the unique vocal techniques and cultural significance of this art form. In Mongolian culture, throat singing is closely tied to the natural landscape, shamanistic practices, and the nomadic lifestyle of the Mongolian people.
Overtone musicians are artists who specialize in overtone singing, a vocal technique that involves producing multiple pitches simultaneously. This practice is found in various cultures around the world, particularly in Central Asia, but has also gained popularity in contemporary music genres.
Overtone singing, also known as throat singing or harmonic singing, is a vocal technique that allows a singer to produce multiple pitches simultaneously. This technique involves manipulating the resonances created in the vocal tract to emphasize certain overtones, creating a sound that is rich in harmonics. The fundamental pitch produced is often accompanied by one or more higher pitches, which can be clearly heard and controlled.
The Ginzburg criterion, often referenced in the context of superconductivity, provides a condition for determining the stability of a superconducting state. Specifically, it assesses the ability of a superconducting material to maintain its superconducting properties under the influence of external magnetic fields or current. The Ginzburg criterion is associated with the Ginzburg-Landau (GL) theory, which is a theoretical framework used to describe superconductivity.
"Discourse on the Tides" is not a widely recognized term or title in conventional literature, philosophy, or scholarship, as of my last update in October 2023. It could potentially refer to a specific text, artistic work, or concept that has emerged recently or may be related to themes of change, movement, or the philosophical implications of tides—common metaphors in discussions about human experience, nature, or societal shifts.
Horizontal Falls, often referred to as "Horizontal Falls" or "Horizontal Waterfalls," is a unique natural phenomenon located in the Kimberley region of Western Australia. It is not a waterfall in the traditional sense but rather a tidal change that creates the illusion of a waterfall. The phenomenon occurs in the definitely narrow gap between two cliffs that connects two enclosed bodies of water.
Multivariate time series refers to a collection of multiple time series data points collected or observed over time. Unlike univariate time series, which involves a single variable or feature analyzed at different time points, multivariate time series consists of two or more variables that may be related to each other. This relationship can help to identify patterns, correlations, or dynamics that wouldn't be evident from analyzing each time series independently.

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