The Journal of Algebraic Combinatorics is a scholarly periodical that focuses on the area of algebraic combinatorics, which combines techniques and concepts from both algebra and combinatorics.
Alfréd Haar was a Hungarian mathematician known for his contributions to functional analysis and topology. He is particularly recognized for the Haar measure, which is a way to define a measure on locally compact topological groups. Haar measure plays a crucial role in abstract harmonic analysis and is fundamental in the study of groups and their representations.
An **algebraic number field** is a certain type of field in algebraic number theory. Specifically, an algebraic number field is a finite extension of the field of rational numbers, \(\mathbb{Q}\), that is generated by the roots of polynomial equations with coefficients in \(\mathbb{Q}\).
A galvanic anode is a type of anode used in cathodic protection systems to prevent corrosion of metal structures, such as pipelines, tanks, and ships. It works on the principle of electrochemistry, specifically the concept of galvanic corrosion. In a galvanic cell, two different metals are immersed in an electrolyte.
"Ars Magna Lucis et Umbrae," which translates to "The Great Art of Light and Shadow," is a treatise written by the 17th-century German Jesuit scholar Athanasius Kircher. Published in 1671, it focuses on optical science and the principles of light, shadow, and perspective. The work combines elements of philosophy, theology, and science, reflecting Kircher's fascination with various fields of knowledge and his efforts to explain the natural world.
"Alpha Chiang" typically refers to a well-known textbook in the field of economics titled "Fundamentals of Economics" by Alpha C. Chiang and Kevin Wainwright. The book is often used in introductory economics courses and covers key concepts in microeconomics and macroeconomics, focusing on both theoretical and practical aspects. Alpha Chiang is recognized for his contributions to economic theory, particularly in the areas of mathematical economics and optimization.
In graph theory, a **clique cover** of a graph is a partition of the vertex set into cliques. A **clique** is a subset of vertices that forms a complete subgraph, meaning every pair of vertices within the subset is connected by an edge. Therefore, a clique cover is a way to divide the graph's vertices into groups where each group is a clique.
Ahto Buldas is a notable figure in the field of computer science, specifically known for his contributions to cryptography and decentralized identity systems. He has been involved in various research projects and initiatives related to security and blockchain technology. However, there may be limited public information or specific achievements associated with him up until my last update in October 2021.
Chirp compression is a signal processing technique often used in various fields, including radar and sonar systems, communication technologies, and audio processing. It involves the use of frequency-modulated signals, typically called "chirps," which are signals whose frequency increases or decreases over time. The basic concept of chirp compression is to improve the signal-to-noise ratio and enhance the detection capabilities of the signal by shaping it in a way that allows for better resolution and clarity when the signal is processed.
Collision resistance is a property of cryptographic hash functions that ensures it is computationally infeasible to find two distinct inputs that produce the same hash output. In other words, for a hash function \( h \), it should be hard to find inputs \( x \) and \( y \) (where \( x \neq y \)) such that \( h(x) = h(y) \).
The Compression Theorem is a concept often discussed in the context of functional analysis, particularly in relation to the properties of operator algebras and functional spaces. While the term may appear in various disciplines, it generally refers to results concerning the behavior of certain mathematical objects under specific transformations, particularly in optimizing space usage or simplifying representations within a given framework.
The Complex Conjugate Root Theorem states that if a polynomial has real coefficients and a complex number \( a + bi \) (where \( a \) and \( b \) are real numbers and \( i \) is the imaginary unit) as a root, then its complex conjugate \( a - bi \) must also be a root of the polynomial.
Gheorghe Păun is a Romanian computer scientist known for his significant contributions to the fields of theoretical computer science and formal languages. He is particularly recognized for his work on the theory of P systems, which are a model of computation inspired by the functioning of biological cells. Păun introduced this model in the early 2000s, and it has since become an area of active research, exploring the potential of using such systems for computing and problem-solving.
Convex and concave are terms used to describe the shapes of curves or surfaces in geometry, as well as in mathematical functions. Here's a breakdown of both concepts: ### Convex 1. **Geometry**: - A shape is convex if, for any two points within the shape, the line segment connecting these two points lies entirely within the shape. - In simpler terms, a convex shape bulges outward, and it does not have any indentations or "dents.
BC Brno is a basketball club based in Brno, Czech Republic. The team has a history of participating in various international competitions, including tournaments such as the FIBA EuroCup, the Champions League, and others that include clubs from across Europe. BC Brno has a notable presence in the Czech basketball league and has been competitive on the international stage as well. The club's involvement in these competitions provides opportunities for showcasing talent and gaining experience against a variety of teams from different countries.
Diastole is the phase of the cardiac cycle during which the heart muscle relaxes and the chambers of the heart fill with blood. It occurs after systole, which is the phase when the heart muscles contract to pump blood out of the heart. Diastole is crucial for ensuring that the heart has enough blood to pump out during the next contraction.
The American Nuclear Society (ANS) is a professional organization that promotes the advancement of nuclear science and technology. Founded in 1954, ANS serves a diverse membership, including professionals, researchers, educators, and students involved in various fields related to nuclear energy, radiation, and nuclear technologies.
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 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