Evgeny Sklyanin is a name that may refer to several individuals, but there isn't a widely known figure by this name in public discourse as of my last knowledge update in October 2023. If you meant a specific person, you might want to provide additional context, such as their profession or any relevant field (like sports, science, academia, etc.
Gennady Krasnikov is a prominent Russian physicist known for his work in the field of theoretical physics, particularly in the areas of quantum mechanics and quantum field theory. He has made significant contributions to various concepts in these domains, including research on solitons, quantum algorithms, and quantum information theory. His investigations often delve into the fundamental principles of physics, seeking to expand the understanding of phenomena at both microscopic and macroscopic scales.
Mikhail Shaposhnikov is a prominent theoretical physicist known for his contributions to various fields, particularly in cosmology and particle physics. He is recognized for his work on the mechanisms of symmetry breaking, baryogenesis, and the interplay between particle physics and the early universe. Shaposhnikov has also been involved in research related to the Higgs boson and theories that extend the Standard Model of particle physics.
The Big-line-big-clique conjecture is a concept in the field of combinatorics, more specifically in graph theory. It conjectures properties related to the structure and size of certain types of graphs, particularly concerning the relationships between cliques and line graphs. A clique in a graph is a subset of vertices such that every two distinct vertices in the subset are adjacent.
Borsuk's conjecture, proposed by Polish mathematician Karol Borsuk in 1933, asserts that any bounded, convex subset of Euclidean space \( \mathbb{R}^n \) can be partitioned into \( n + 1 \) or fewer subsets, each of which has a smaller diameter than the original set.
The Dissection Problem refers to a type of mathematical problem in geometry and combinatorial optimization where the goal is to dissect or cut a shape into a finite number of pieces that can be reassembled into another shape. This kind of problem often involves exploring how different shapes can be transformed into one another through geometric means.
Equidissection is a mathematical concept related to the idea of dividing shapes into pieces in such a way that the pieces can be rearranged to form another shape of equal area or volume. It involves partitioning a geometric figure into smaller pieces that can be reconfigured without changing their size, typically to demonstrate equivalence in area or volume between different figures. One of the popular contexts for discussing equidissection is in geometry, specifically in polygonal and polyhedral dissections.
The Hadwiger Conjecture is a significant statement in combinatorial geometry that relates to the coloring of the plane with respect to convex sets, particularly focusing on the properties of regions defined by convex shapes.
The "kissing number" refers to the maximum number of non-overlapping spheres that can simultaneously touch another sphere of the same size in a given dimensional space. The concept can be applied in multiple dimensions, and the kissing number varies depending on the dimension. Here are some known kissing numbers: 1. **In 1 dimension**: The kissing number is **2**. A line segment (sphere in 1D) can touch two other line segments at its endpoints.
Lebesgue's universal covering problem is a question in the field of topology, particularly concerning the properties of spaces that can be covered by certain kinds of collections of sets. Specifically, the problem asks whether every bounded measurable set in a Euclidean space can be covered by a countable union of sets of arbitrarily small Lebesgue measure.
The "Mountain Climbing Problem" typically refers to a type of optimization problem or search problem that can often be framed in the context of artificial intelligence, algorithms, or problem-solving techniques.
The orchard-planting problem is a problem in optimization typically found in operations research and mathematical programming. It involves the strategic placement of trees or plants in an orchard to maximize certain objectives while adhering to constraints. The problem can vary in its specifics, but it often includes considerations like: 1. **Maximizing Yield**: The primary goal is often to maximize the yield of fruits or nuts from the planted trees. This can depend on factors like tree density, spacing, and compatibility between different species.
Quaquaversal tiling refers to a type of tiling pattern that exhibits a unique property of being the same regardless of the orientation from which it is viewed. The term "quaquaversal" is derived from a Latin term meaning "going in all directions," and in the context of tiling, it denotes a pattern that extends outward in multiple directions from a central point.
"Super-Villain Team-Up" is a comic book series published by Marvel Comics, featuring various supervillains from the Marvel Universe. The series first debuted in the 1970s, with its initial run starting in 1975 and lasting until 1980. The concept of the series is to spotlight villainous characters who often team up to achieve their goals, typically in opposition to the heroes of the Marvel Universe.
A Voronoi diagram is a mathematical structure that partitions a space into regions based on the distance to a specific set of points, called seed points or sites. Each region in a Voronoi diagram corresponds to one of the seed points, and every point within that region is closer to its associated seed point than to any other seed point.
Superman and Spider-Man are two of the most iconic superheroes in comic book history, each with their own distinct origins, powers, and worlds. **Superman:** - **Publisher:** DC Comics - **First Appearance:** Action Comics #1 (1938) - **Creators:** Jerry Siegel and Joe Shuster - **Alter Ego:** Clark Kent - **Origin:** Superman is an alien from the planet Krypton.
The Chameleon botnet is a type of malicious network comprised of compromised computers or devices that can be controlled by an attacker to carry out various cybercriminal activities. Although there may be multiple botnets named "Chameleon," they are typically characterized by their adaptability and stealth.
Paul Goldbart is a physicist known for his work in the fields of condensed matter physics, statistical mechanics, and complex systems. He has contributed to the understanding of various phenomena in these areas.
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





