Superglass can refer to a couple of different things depending on the context: 1. **Insulation Material**: In construction and insulation, "superglass" may refer to a type of advanced insulation material, often made from fiberglass or mineral wool. These materials are designed to be highly effective at insulating buildings, improving energy efficiency, and reducing heat loss.
The Sudoku Cube is a variation of the classic Sudoku puzzle presented in a three-dimensional format. It combines elements of traditional Sudoku with the structure of a cube, similar to a Rubik's Cube. In a typical Sudoku puzzle, the goal is to fill a grid (commonly 9x9) with numbers such that each row, column, and designated subgrid (like 3x3 boxes) contains all of the numbers without repetition.
The Davenport constant is a concept from additive number theory, particularly in the context of additive bases. It is defined in relation to a finite set of integers.
Kneser's theorem is a result in combinatorial topology and algebraic topology that deals with the intersection properties of certain families of subsets of a finite set. Specifically, it provides a bound on the size of families of subsets that can be chosen from a finite set, under the constraint that certain intersections are empty.
Cryogenic particle detectors are highly sensitive instruments designed to measure and detect low-energy particles, often at very low temperatures. These detectors operate at cryogenic temperatures, typically below 100 Kelvin (-173°C), where thermal noise is significantly reduced. This sensitivity allows them to detect very weak signals from particles, such as photons, electrons, or interactions from dark matter.
Pyotr Kapitsa, full name Pyotr Leonidovich Kapitsa, was a renowned Russian physicist who made significant contributions to various fields of physics, particularly in low-temperature physics and the study of superfluidity. He was born on July 8, 1894, in Kronstadt, Russia, and passed away on April 8, 1984.
The Jucys-Murphy elements are a set of operators that arise in the theory of symmetric groups and representations of the symmetric group algebra. They are named after the mathematicians Alexander Jucys and J. D. Murphy, who introduced them in the context of representation theory.
Symmetrization is a mathematical technique used in various fields, particularly in analysis, geometry, and combinatorics. The idea behind symmetrization is to transform a given object, such as a function, set, or geometric shape, into a more symmetric form while preserving certain essential properties. This process can simplify problems, help establish inequalities, and lead to stronger results.
Textile engineers are professionals who specialize in the design, production, and development of textile materials and products. Their work encompasses a wide range of activities related to textiles, including the research and development of new fibers, the design and optimization of textile machinery, the study of textile processes, and the improvement of manufacturing techniques.
Concrete Roman is a typeface designed by the typographer and designer Fredrik H. Schmidt, often characterized by its geometric forms and strong typographic presence. It blends classical Roman letterforms with a modern, structural aesthetic, reflecting a certain solidity and clarity that appeals to contemporary design sensibilities. The design of Concrete Roman often incorporates clean lines and a sturdy appearance, making it suitable for various applications, such as branding, signage, and editorial design.
MusiXTeX is a typesetting system specifically designed for creating musical notation using the TeX typesetting system. Developed by Michael E. M. P. R. Heumann and others, it allows composers and music typesetters to produce high-quality sheet music with precise control over the layout and formatting of musical elements.
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 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 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.
"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.
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.
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.
Komlós' theorem, also known as Komlós' conjecture, is a result in combinatorial mathematics, specifically in the field of graph theory. The theorem deals with the concept of almost perfect matchings in large graphs.
The Denjoy–Young–Saks theorem is a result in measure theory concerning the decomposition of the Lebesgue measurable sets. It is named after mathematicians Arne Magnus Denjoy, John Willard Young, and Aleksandr Yakovlevich Saks, who contributed to the development of this area of mathematics.
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!
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 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. - 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





