A dotted note in music notation refers to a note that has a dot placed immediately to the right of it. The dot increases the duration of the note by half of its original value. For example: - A dotted quarter note (which normally lasts for one and a half beats) is equal to a quarter note (1 beat) plus an eighth note (0.5 beats), for a total of 1.5 beats.
Mexican physicists are scientists from Mexico who study or practice physics, contributing to the field through research, teaching, and application of physical principles. Mexico has a rich history of contributions to various areas of physics, and many Mexican physicists have gained international recognition for their work. Some notable Mexican physicists include: 1. **Manuel Sandoval Vallarta** - Known for his work in theoretical physics and contributions to particle physics.
"Guatemalan physicists" refers to individuals from Guatemala who are engaged in the field of physics, either as researchers, educators, or professionals applying physics principles in various domains. Guatemala, a country in Central America, has a growing academic community that includes physicists working in various subfields such as theoretical physics, experimental physics, astrophysics, and applied physics. Guatemalan physicists contribute to both national and international scientific communities, and they may work in universities, research institutions, or industries.
"Cuban physicists" refers to scientists and researchers from Cuba who work in the field of physics or those who are of Cuban descent and contribute to physics research around the world. Cuban physicists have made significant contributions to various areas of physics, including theoretical physics, condensed matter physics, and particle physics. The country has a strong educational system that produces skilled scientists, many of whom work in academia, research institutions, and collaborate internationally.
"Costa Rican physicists" refers to scientists from Costa Rica who specialize in the field of physics. Physics is a fundamental branch of science that studies matter, energy, and the interactions between them. Costa Rica has a growing community of physicists who are involved in various fields of research, including theoretical physics, experimental physics, and applied physics. In recent years, Costa Rica has made efforts to enhance its scientific education and research capabilities, which includes improving the training and development of physicists.
"Canadian physicists" refers to physicists who are from Canada or who have made significant contributions to the field of physics while working in Canada. The term encompasses a wide range of individuals who specialize in various areas of physics, including theoretical physics, experimental physics, condensed matter physics, astrophysics, and medical physics, among others. Canada has a strong tradition of excellence in scientific research and education, and many Canadian physicists are affiliated with prestigious universities and research institutions.
The term "American physicists" refers to individuals from the United States who study or work in the field of physics, which is the branch of science concerned with the nature and properties of matter and energy. American physicists have made significant contributions to various areas of physics, including theoretical physics, experimental physics, condensed matter physics, astrophysics, and more.
The term "three-wave equation" can refer to a mathematical description of the interaction among three waveforms in various contexts, particularly in nonlinear wave theory or in the study of wave interactions in fields such as fluid dynamics, optics, or plasma physics. Such three-wave interactions are typically described by equations that model how these waves interact, exchange energy, and propagate through a medium.
Synchronization of chaos refers to the phenomenon where chaotic systems, which are typically unpredictable and highly sensitive to initial conditions, can become synchronized under certain conditions. This concept is prevalent in various fields, including physics, mathematics, biology, and engineering. When two or more chaotic systems are coupled or interact in some way, they can exhibit synchronized behavior, meaning that despite their inherent unpredictability, their states can evolve in a coordinated manner over time.
A spiral wave is a type of wave pattern that occurs in various physical and biological systems. It is characterized by a spiraling configuration that can propagate outward in a circular or spiral shape. Spiral waves are commonly observed in several contexts, including: 1. **Physics**: In fluid dynamics, spiral waves can appear in scenarios such as vortex structures in turbulent flows.
The STAR model is a structured approach often used in behavioral interviews to help candidates articulate their experiences effectively. STAR is an acronym that stands for: 1. **Situation**: Describe the context or background of a specific event or challenge you faced. This sets the stage for your story, providing the interviewer with necessary details about the circumstances. 2. **Task**: Explain the specific task or responsibility you had in that situation. This helps clarify what was expected of you and what your role was.
SETAR stands for Self-Exciting Threshold Autoregressive model. It's a type of time series model used for capturing nonlinear relationships in data. The primary characteristic of a SETAR model is that it allows the dynamics of the time series to change depending on whether the value of the series crosses a certain threshold. ### Key Features of SETAR Models: 1. **Threshold Mechanism**: The model is divided into different regimes (or states) based on a threshold variable.
Resonant interaction refers to a phenomenon where two or more systems or entities interact in such a way that they exchange energy at a specific frequency or set of frequencies. This interaction is characterized by a significant increase in amplitude or effect when the driving frequency matches the natural frequency of the system.
The Pyragas method, also known as the Pyragas control or Pyragas feedback control, is a technique used in control theory and dynamical systems to stabilize unstable systems or stabilize periodic orbits. It was introduced by the Lithuanian mathematician and physicist A. Pyragas in the early 1990s. The fundamental idea behind the Pyragas method is based on applying delayed feedback to the system being controlled.
A **parametric array** generally refers to a collection of objects, values, or functions in the context of a parameterized model, often used in fields like mathematics, computer science, and engineering. The term can vary in meaning depending on the context in which it is used. Below are a few interpretations based on different fields: 1. **Mathematics and Statistics**: In mathematics, a parametric array can refer to a set of data or functions defined by parameters.
Nonlinear acoustics is a branch of acoustics that deals with the behavior of sound waves in media where the relationships between pressure, density, and particle velocity are nonlinear. In contrast to linear acoustics, where sound waves are assumed to propagate in a medium under the assumption that changes in pressure and density are small, nonlinear acoustics considers scenarios where these changes are significant and can lead to more complex wave behavior.
The Kuramoto model is a mathematical framework used to study synchronization phenomena in systems of coupled oscillators. It was introduced by Yoshiki Kuramoto in the 1970s to explain how oscillators (such as pendulums, metronomes, or neurons) with different natural frequencies can synchronize their oscillations when they are coupled together.
Hysteresis is a phenomenon where the response of a system depends on its past states. It is commonly observed in various fields such as physics, engineering, and economics. In simple terms, hysteresis describes a situation where the effect of a certain influence (like force, temperature, or magnetism) on a system depends not only on the current value of that influence but also on the history of how that influence has changed over time.
A dispersive partial differential equation (PDE) is a type of equation that describes how wave-like phenomena propagate in a medium, where the speed of the wave varies with frequency. This characteristic of dispersive equations leads to the phenomenon of dispersion, where different frequency components of a signal or wave travel at different speeds, causing a spreading or distortion of the wave packet over time. Mathematically, dispersive PDEs can be expressed in various forms, depending on the context or physical phenomenon being modeled.

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!
We have two killer features:
  1. 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-calculus
    Articles 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/derivative
  2. 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.
    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.
  3. https://raw.githubusercontent.com/ourbigbook/ourbigbook-media/master/feature/x/hilbert-space-arrow.png
  4. Infinitely deep tables of contents:
    Figure 6.
    Dynamic article tree with infinitely deep table of contents
    .
    Descendant pages can also show up as toplevel e.g.: ourbigbook.com/cirosantilli/chordate-subclade
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