The Berkeley Physics Course is a series of college-level physics textbooks originally developed for use in the introductory physics courses at the University of California, Berkeley. The series was designed to provide a comprehensive and rigorous introduction to fundamental physics concepts, and it encompasses a range of topics in mechanics, electromagnetism, thermodynamics, optics, and modern physics.
"Elementary Principles in Statistical Mechanics" is a seminal work by the American physicist and mathematician J. Willard Gibbs, published in 1902. In this book, Gibbs laid the foundation for statistical mechanics, which is a branch of physics that uses statistical methods to explain the thermodynamic properties of systems composed of a large number of particles.
"Collapsible flow" can refer to various concepts depending on the context, such as in engineering, fluid dynamics, or even in programming and user interface design. Here are a few interpretations based on different fields: 1. **Fluid Dynamics**: In fluid dynamics, "collapsible flow" might refer to fluids in a conduit or channel that can change characteristics (like pressure and flow rate) significantly under varying conditions.
Harvard Project Physics was an educational initiative developed in the 1960s aimed at reforming the way physics was taught in high schools. It emerged from a collaboration between Harvard University faculty and high school teachers, focusing on modernizing the physics curriculum and making it more accessible and engaging for students. The project sought to integrate contemporary physics concepts with a strong emphasis on the historical and philosophical context of scientific ideas. It aimed to foster critical thinking and a deeper understanding of physical principles rather than rote memorization.
Optical waves in layered media refer to the behavior of light as it interacts with materials that have distinct layers, each with different optical properties such as refractive index, absorption, and thickness. These layered structures can include systems like: 1. **Thin Films**: Very thin layers of material, often used in coatings, can produce interference effects due to the reflection and transmission of light between the interfaces of the film and the surrounding media.
"Structure and Interpretation of Classical Mechanics" (often abbreviated as SICM) is a textbook co-authored by Gerald Jay Sussman and George J. Hachtel. Published in 2001 as part of the MIT Press series, it serves as an introduction to classical mechanics via a unique and conceptual approach that emphasizes the underlying principles and structure of the subject. The book takes a highly methodical perspective, using a variety of computational and mathematical tools.
Aluminium nitride (AlN) is a chemical compound composed of aluminium and nitrogen. It is a wide-bandgap semiconductor with a hexagonal wurtzite crystal structure. AlN is known for its many properties, including: 1. **Electrical Insulator**: At room temperature, AlN is an excellent electrical insulator, making it suitable for applications in electronics, particularly in high-power and high-frequency devices.
Approximations of π (pi) refer to the various methods and numerical values that estimate the mathematical constant π, which represents the ratio of a circle's circumference to its diameter. Since π is an irrational number, it cannot be expressed exactly as a simple fraction, and its decimal representation is non-repeating and infinite. However, various approximations have been developed throughout history for practical calculations.
The Baudhayana Sutras are a collection of ancient Hindu texts that form part of the larger body of Vedic literature. They are significant for their contributions to the fields of philosophy, mathematics, and ritual practice within Hindu traditions. The texts are attributed to the sage Baudhayana and are primarily known for their discussions on rituals, duties, and the Vedic way of life.
The computation of π (pi) has a long and fascinating history that spans thousands of years. Here's a chronology highlighting significant milestones in the calculation of π: ### Ancient Civilizations - **c. 2000 BCE**: Egyptians and Babylonians estimated π as 3.16 and 3.125, respectively. The Rhind Mathematical Papyrus suggests a value of approximately 3.16. - **c.
The Lindemann–Weierstrass theorem is a fundamental result in complex analysis and transcendental number theory.
Madhava's correction term refers to a specific term that arises in the context of the series expansion of certain mathematical functions, especially in the calculation of \(\pi\). The term is associated with Indian mathematician Madhava of Sangamagrama, who lived in the 14th century and is often credited with developing early ideas of calculus and infinite series.
Milü, often referred to as "Milu" or "Milü deer," is a species of deer known scientifically as *Elaphurus davidianus*. It is native to eastern Asia, particularly China, and is known for its distinctive appearance, which includes large antlers and a striking coat. The Milü is notable for its long, slender legs and adaptations to wetland habitats.
"Pi" is a 1998 independent psychological thriller film directed by Darren Aronofsky. The film follows the story of a mathematician named Max Cohen, played by Sean Gullette, who is obsessed with finding patterns in the stock market and the universe. He believes that everything can be understood through mathematics, particularly through the concept of the number Pi, which is a mathematical constant that represents the ratio of a circle's circumference to its diameter.
Pi Day is celebrated on March 14th (3/14) each year, recognizing the mathematical constant π (pi), which is approximately equal to 3.14. The day is an opportunity for math enthusiasts, teachers, and students to celebrate mathematics and its significance, often with activities related to pi, pie-eating contests, and discussions about the importance and applications of pi in various fields, such as geometry and physics. The date was officially recognized by the U.S.
"Pi in the Sky" is typically a phrase that can refer to various contexts, but it is not a widely recognized term or concept. It can be interpreted in different ways depending on the context: 1. **Mathematics**: It could refer to discussions or representations of the mathematical constant π (pi), which is approximately 3.14159 and represents the ratio of a circle's circumference to its diameter.
Pinned article: ourbigbook/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