The PC-1, or PC-1 computer, refers to a specific model of personal computer that was introduced by various manufacturers during the early evolution of personal computing. However, the term "PC-1" isn't as commonly recognized as others, such as the IBM PC or Apple's early offerings. The most widely known "PC" refers to IBM's Personal Computer, which debuted in 1981 and set the standard for compatible personal computers.
chemistry.stackexchange.com/questions/7696/how-do-i-distinguish-between-internal-energy-and-enthalpy/7700#7700 has a good insight:
To summarize, internal energy and enthalpy are used to estimate the thermodynamic potential of the system. There are other such estimates, like the Gibbs free energy G. Which one you choose is determined by the conditions and how easy it is to determine pressure and volume changes.
Sukhoy Nos is a cape located in the northeastern part of Lake Baikal in Russia. It is known for its picturesque landscapes and natural beauty. Sukhoy Nos is a popular spot for outdoor activities such as hiking, fishing, and photography, attracting nature enthusiasts and tourists. The area is part of the Baikal Nature Reserve, which is a UNESCO World Heritage site and is noted for its unique ecosystems and biodiversity.
A fuzzy control system is a type of control system that uses fuzzy logic instead of traditional binary sets (true/false or 1/0) to make decisions or control processes. Fuzzy logic is a form of many-valued logic that deals with reasoning that is approximate rather than fixed and exact. This makes it particularly useful for complex systems where uncertainty or imprecision is a factor.
A critical system refers to a system that is essential for the functioning of a larger framework or operation, where failure or malfunction could result in significant consequences, such as safety hazards, financial loss, or disruption of services. Critical systems are commonly found in various domains, including: 1. **Safety-Critical Systems**: These are systems where a failure could lead directly to loss of life, significant property damage, or environmental harm.
Noether's theorem by Ciro Santilli 37 Updated 2025-07-16
For every continuous symmetry in the system (Lie group), there is a corresponding conservation law.
Furthermore, given the symmetry, we can calculate the derived conservation law, and vice versa.
As mentioned at buzzard.ups.edu/courses/2017spring/projects/schumann-lie-group-ups-434-2017.pdf, what the symmetry (Lie group) acts on (obviously?!) are the Lagrangian generalized coordinates. And from that, we immediately guess that manifolds are going to be important, because the generalized variables of the Lagrangian can trivially be Non-Euclidean geometry, e.g. the pendulum lives on an infinite cylinder.
Video 1.
The most beautiful idea in physics - Noether's Theorem by Looking Glass Universe (2015)
Source. One sentence stands out: the generated quantities are called the generators of the transforms.
Video 2.
The Biggest Ideas in the Universe | 15. Gauge Theory by Sean Carroll (2020)
Source. This attempts a one hour hand wave explanation of it. It is a noble attempt and gives some key ideas, but it falls a bit short of Ciro's desires (as would anything that fit into one hour?)
Video 3.
The Symmetries of the universe by ScienceClic English (2021)
Source. youtu.be/hF_uHfSoOGA?t=144 explains intuitively why symmetry implies consevation!
Morgan Ward refers to multiple subjects, so the context in which you encountered the term would determine its specific meaning. 1. **Morgan Ward as a Name**: It could refer to a person, such as an individual with that name who might be known in various professional fields like art, academia, or business. 2. **Morgan Ward in Geographic Context**: It might also refer to an area or district named Morgan Ward, which could be a division in a city, town, or municipality.
Bozenna Pasik-Duncan is a mathematician known for her contributions to various fields including mathematics education, differential equations, and dynamical systems. She has been involved in research and has published numerous papers and articles. Additionally, she has been active in promoting mathematics education and has engaged in outreach activities to inspire and educate students in mathematics.

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 2.
    You can publish local OurBigBook lightweight markup files to either https://OurBigBook.com or as a static website
    .
    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.
  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