The Bernstein–Kushnirenko theorem is a result in algebraic geometry and algebraic topology concerning the number of solutions to a system of polynomial equations. More specifically, it provides a bound on the number of common solutions for systems of polynomial equations under certain conditions.
Abel's binomial theorem is a generalization of the binomial theorem that is used in the context of power series and infinite sums. It provides a way to represent the sums of powers in a more general setting than the classic binomial theorem, which only applies to finite sums.
Fuchs' theorem is a result in the field of complex analysis, particularly in the study of ordinary differential equations with singularities. The theorem provides conditions under which a linear ordinary differential equation with an irregular singular point can be solved using power series methods. Specifically, Fuchs' theorem states that if a linear differential equation has only regular singular points, then around each regular singular point, there exist solutions that can be expressed as a Frobenius series.
"Soft Kitty" is a song that gained popularity from the television show "The Big Bang Theory." It is often sung by the character Sheldon Cooper, portrayed by Jim Parsons, as a form of comfort when he is feeling unwell or distressed. The lyrics describe a soft, warm kitten and evoke feelings of coziness and care. The song has become an iconic part of the show's culture and is frequently referenced by fans. The simple melody and heartwarming lyrics contribute to its charm and appeal.
"The Big Bang Theory," the popular American sitcom created by Chuck Lorre and Bill Prady, received numerous awards and nominations during its run from 2007 to 2019.
Euglossa bazinga is a species of orchid bee belonging to the genus Euglossa, which is known for its unique behavior and ecological role as a pollinator. The species was described in 2016 and is named in reference to the popular television show "The Big Bang Theory," specifically as a playful nod to the character Sheldon Cooper's catchphrase "Bazinga!
The Crystallographic Restriction Theorem is a concept in the field of crystallography and solid state physics that describes certain symmetries in crystalline materials. It states that the symmetry operations of a crystal, such as rotations, translations, and reflections, impose restrictions on the types of point groups that can be realized in three-dimensional space. More specifically, the theorem states that the only symmetry operations allowed for a crystal lattice in three dimensions must be compatible with the periodicity of the lattice.
The Classification of Finite Simple Groups is a monumental result in the field of group theory, specifically in the area of finite groups. It establishes a comprehensive framework for understanding the structure of finite simple groups, which are the building blocks of all finite groups in a manner akin to how prime numbers function in number theory.
The Chevalley–Warning theorem is a result in algebraic geometry and number theory that concerns the existence of rational points on certain types of algebraic varieties. More specifically, it deals with the solutions of systems of polynomial equations over finite fields.
BaZnGa is a chemical compound composed of barium (Ba), zinc (Zn), and gallium (Ga). The specific structure and properties of BaZnGa would depend on the particular stoichiometry and crystalline form. Generally, compounds that consist of multiple metals can exhibit interesting physical, chemical, and electronic properties, potentially making them useful in various applications such as electronics, catalysis, or materials science.
"The Fool on the Hill" is a ballet choreographed by the renowned British choreographer and dancer, Sir Kenneth MacMillan. The ballet premiered in 1969 and is set to music by the composer and musician, The Beatles. Specifically, it is inspired by the song "The Fool on the Hill," written by Paul McCartney and John Lennon.
The Australian Ballet School is the official school of The Australian Ballet, one of the country's premier ballet companies. Founded in 1964, the school is located in Melbourne and provides specialized training for aspiring ballet dancers. It offers a range of programs, including full-time training for students aged 15 and older who are serious about pursuing a professional career in ballet. The curriculum includes classical ballet technique, contemporary dance, physical conditioning, and repertoire, along with opportunities for students to perform.
The Australian Ballet School (ABS) is the official school of the Australian Ballet and is known for training aspiring ballet dancers in Australia. Alumni of the Australian Ballet School are individuals who have completed their training at ABS and often go on to have successful careers in ballet and dance, both within Australia and internationally. Many alumni have joined prestigious ballet companies, including the Australian Ballet, as well as renowned international companies. They may also pursue careers in choreography, teaching, or dance education.
Textile manufacturing is the process of converting raw fibers into usable fabrics or textiles. This industry encompasses a wide range of processes and techniques, including the following key stages: 1. **Fiber Production**: This can involve natural fibers (like cotton, wool, linen, and silk) or synthetic fibers (such as polyester, nylon, and acrylic). Natural fibers are harvested from plants or animals, while synthetic fibers are manufactured through chemical processes.
It seems that you might be referring to "Louis Schwabe," but as of my last knowledge update in October 2021, I don't have information on a specific individual or entity by that name. It's possible that "Louis Schwabe" could refer to a person, a brand, or something else that has emerged or gained prominence after that date.
Lewis Paul was an English inventor and one of the key figures in the development of the mechanized textile industry during the 18th century. He is best known for his invention of the "carding machine" and improvements to the spinning process, which were significant factors in the Industrial Revolution. His inventions helped streamline the production of textiles, making it easier to process raw wool and cotton into yarn.
Web programming, often referred to as web development, encompasses the process of creating applications and services that run on the World Wide Web. It involves several components, including client-side and server-side programming, as well as database management. Here's a breakdown of the main elements: ### 1. **Client-Side Development:** - **Languages:** Typically involves HTML (Hypertext Markup Language), CSS (Cascading Style Sheets), and JavaScript.
The PracTeX Journal is a scholarly publication focused on practical aspects of using TeX, LaTeX, and related typesetting systems. It aims to share articles, tutorials, and insights that help users enhance their typesetting skills and explore new techniques in document preparation. The journal serves as a platform for practitioners, developers, and educators in the TeX community to exchange ideas and experiences.
Pinned article: ourbigbook/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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.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. - Infinitely deep tables of contents:
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