"Streaming vibration current" is not a commonly used term or concept in established scientific literature or engineering practices, which may cause confusion. However, the term could potentially refer to a few related ideas in the context of fluid dynamics and vibration. 1. **Streaming Currents**: In fluid mechanics, "streaming" refers to the steady flow of fluid caused by a vibrating object, such as a vibrating membrane or surface. This phenomenon is often observed in acoustic streaming, where sound waves create fluid motion.
In number theory, the term "symbol" can refer to several different concepts depending on the context. Here are a few interpretations: 1. **Mathematical Symbols**: In a general sense, symbols in number theory (and mathematics in general) are used to represent numbers, operations, and relations.
The Ξ function, also known as the "Xi" function, is a mathematical function that is closely related to the Riemann zeta function. Specifically, it is defined in terms of the Riemann zeta function and has significance in number theory and the study of prime numbers.
Algebraic graph theory is a branch of mathematics that studies graphs through algebraic methods and concepts. It combines ideas from both graph theory, which is the study of graphs—objects consisting of vertices (or nodes) connected by edges—and various areas of algebra, particularly linear algebra and group theory.
"Bad control" can refer to several concepts depending on the context in which it is used. Here are a few interpretations: 1. **Management and Leadership**: In organizational behavior, "bad control" may refer to ineffective management practices that lead to poor employee performance, low morale, or an unhealthy workplace culture. This might involve micromanagement, lack of clear communication, or failure to provide adequate support and resources.
The term "compound of tetrahedra" refers to a specific geometric configuration that is formed by combining multiple tetrahedra in a particular arrangement. A tetrahedron is a polyhedron with four triangular faces, and it is one of the simplest three-dimensional shapes.
The Janko group, often denoted as \( J_1 \), is one of the 26 sporadic simple groups in group theory, a branch of mathematics. Discovered by the mathematician Zvonimir Janko in 1965, it is notable for its relatively large structure compared to other groups.
Atomic, Molecular, and Optical (AMO) physics is a branch of physics that deals with the study of atoms, molecules, and their interactions with light and other forms of electromagnetic radiation. This field encompasses a variety of processes and phenomena, and it can be divided into three main areas: 1. **Atomic Physics**: This area focuses on the structure and behavior of single atoms. Key topics include atomic energy levels, electron transitions, ionization, and the effects of external fields on atomic systems.
Physics is a broad field of study that can be categorized into several branches, each focusing on different aspects of physical phenomena. Here are the main branches of physics: 1. **Classical Mechanics**: This branch deals with the motion of objects and the forces that affect them. It includes concepts such as Newton's laws of motion, energy, momentum, and rotations. 2. **Electromagnetism**: This area studies electric charges, electric and magnetic fields, and their interactions.
Mathematics websites are online platforms that offer resources, tools, and content related to mathematics. These websites can serve various purposes including education, problem-solving, research, and collaboration. Here are some categories and examples of mathematics websites: 1. **Educational Platforms:** - **Khan Academy**: Offers video lessons and practice exercises in various math topics. - **Coursera**: Features online courses from universities and institutions on mathematics topics.
"Science Fell in Love, So I Tried to Prove It" is a Japanese romantic comedy anime and manga series. The story revolves around a group of scientists who approach love from a scientific perspective. The main characters, Shinya Yukimura and Ayame Himuro, are researchers with differing views on how to understand and quantify love.
African women mathematicians refer to female mathematicians from Africa or those of African descent who have made significant contributions to the field of mathematics. Over the years, there has been a growing recognition of the achievements and advancements of women in mathematics across the continent. This includes their work in various branches of mathematics, such as pure mathematics, applied mathematics, statistics, and mathematics education, among others.
Mathematics magazines are publications that focus on topics related to mathematics, catering to a range of audiences, from students and educators to professional mathematicians and enthusiasts. These magazines often feature articles, puzzles, and problems that explore mathematical concepts, theories, and applications in an engaging and accessible manner. Some common features typically found in mathematics magazines include: 1. **Articles**: In-depth pieces on specific mathematical topics, historical developments, interviews with mathematicians, or discussions on the role of mathematics in society.
Polynomials are mathematical expressions that consist of variables (often represented by letters) and coefficients, combined using addition, subtraction, multiplication, and non-negative integer exponents.
In algebra, a theorem is a statement that has been proven to be true based on previously established statements, such as axioms, definitions, and other theorems. Theorems in algebra help to provide a structured understanding of algebraic concepts and relationships. They can often be used to solve problems, derive new results, or simplify expressions.
In mathematics, a variable is a symbol used to represent a quantity that can change or vary. Variables are fundamental components of algebra and other areas of mathematics, allowing for the formulation of general expressions, equations, and functions. Here are some key points about variables: 1. **Types of Variables**: - **Dependent Variables**: These are variables that depend on the value of another variable.
The history of algebra is extensive and complex, spanning several cultures and centuries. Here’s an overview tracing its development: ### Ancient Beginnings 1. **Babylonians (circa 2000 BCE)**: The earliest known systematic use of algebraic techniques can be traced back to the Babylonians, who used a base-60 number system and had methods for solving linear and quadratic equations. They wrote their calculations on clay tablets.
Omar Khayyam was a Persian mathematician, astronomer, and poet, born on May 18, 1048, in Nishapur, Persia (modern-day Iran), and he died on December 4, 1131. He is best known for his contributions to mathematics, particularly in algebra and geometry, as well as for his poetry.
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





