Quasiperiodic tiling refers to a type of tiling of a plane that exhibits order without periodicity. This means that while the pattern does not repeat itself at regular intervals (as it would in periodic tiling), it still has a structured arrangement that follows certain mathematical rules. One of the most famous examples of quasiperiodic tiling is the Penrose tiling, discovered by mathematician Roger Penrose in the 1970s.
The Zero-One Law is a concept from probability theory that relates to the behavior of certain events in probability spaces, particularly in the context of infinite sequences or trials. The essence of the Zero-One Law is that for a given class of events, some events will occur with probability 0, while others will occur with probability 1. ### Overview: 1. **Definition**: A statement or event \( A \) is said to have a probability of 0 or 1, i.e.
There are several films that explore themes related to mathematics, mathematicians, or the impact of mathematics on the world. Here are some notable examples: 1. **Good Will Hunting (1997)** - This film follows the story of a janitor at MIT, Will Hunting, who is a self-taught mathematical genius. After assaulting a police officer, he avoids jail time by agreeing to therapy, where he begins to confront his past and his extraordinary talents.
The term "equations of astronomy" can refer to various mathematical formulations and relationships that describe celestial phenomena and motions. These equations are essential for understanding the positions and movements of celestial bodies, including planets, moons, stars, and other astronomical objects.
Stellar evolution refers to the process by which stars change over time. This process involves various stages that a star goes through from its formation to its eventual death. The life cycle of a star is influenced by its initial mass, composition, and other factors. Here are the main stages of stellar evolution: 1. **Nebula**: Stars begin their lives in large clouds of gas and dust called nebulae.
In physics, particularly in the context of fluid dynamics and thermodynamics, the term "front" can refer to a boundary or surface that separates different states of matter, phases, or conditions. This is often seen in the study of phenomena such as: 1. **Shock Fronts**: These are surfaces that separate regions of differing pressures and densities in compressible flows, such as those experienced in supersonic flight.
Newton's theorem of revolving orbits, often referred to simply as Newton's theorem, relates to the motion of celestial bodies under the influence of gravitational forces, particularly in circular or elliptical orbits. The theorem describes a specific property of orbits and the forces that govern them. In essence, Newton's theorem states that if an object is in a circular orbit around a central mass, the gravitational force acting on the orbiting object can be expressed as the centripetal force necessary to maintain that orbit.
Unification of theories in physics refers to the effort to formulate a single theoretical framework that can explain and connect different physical phenomena and principles under a cohesive set of laws. The goal of unification is to reduce the complexity of various theories by showing that they are manifestations of a more fundamental underlying principle or theory.
Wave function collapse is a key concept in quantum mechanics that describes the process by which a quantum system transitions from a superposition of states to a single state when a measurement is made. In quantum mechanics, particles such as electrons exist in a superposition of multiple possible states, each with a certain probability. The wave function is a mathematical function that encodes all the information about the system and describes these probabilities.
A physicist is a scientist who specializes in the field of physics, which is the study of matter, energy, and the fundamental forces of nature. Physicists seek to understand the underlying principles that govern the behavior of the universe, from the smallest particles, like atoms and subatomic particles, to the largest structures, such as galaxies and the cosmos itself.
The mathematical background for general relativity is rich and multifaceted, drawing upon various fields of mathematics. Here are some key contributors and their contributions to the mathematical framework that underpins general relativity: 1. **Non-Euclidean Geometry**: - **Nikolai Lobachevsky and János Bolyai**: Independently developed hyperbolic geometry, which laid the groundwork for understanding curved spaces.
Here's a list of some prominent physics journals where researchers publish their findings: 1. **Physical Review Letters** - A highly regarded journal that publishes short, significant papers in all areas of physics. 2. **Physical Review A** - Covers atomic, molecular, and optical physics. 3. **Physical Review B** - Focuses on condensed matter and materials physics. 4. **Physical Review C** - Dedicated to nuclear physics.
Interferometers are devices that use the principle of interference of light or other waves to make precise measurements. There are several types of interferometers, each designed for specific applications or to measure particular physical properties. Here’s a list of some common types of interferometers: 1. **Michelson Interferometer**: Uses two mirrors and a beamsplitter to create interference patterns, commonly used in precision measurements of lengths and refractive indices.
 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
 
 




