Considering e.g. Newton's laws of motion, you take a system that is a function of time , e.g. the position of many point particles, and then you reverse the speeds of all particles, then is a solution to that.
The more familiar transitions we are familiar with like liquid water into solid water happen at constant temperature.
However, other types of phase transitions we are less familiar in our daily lives happen across a continuum of such "state variables", notably:
Dilution refrigerator by Ciro Santilli 40 Updated 2025-07-16
Video 1.
This Is What A Helium Dilution refrigerator Is by Dietterich Labs (2019)
Source.
Loop performance refers to the efficiency and effectiveness of loops in a computer program or algorithm. It is a critical aspect of programming, especially in contexts where loops are used for repetitive tasks, such as iterating over data structures, performing calculations, or processing large datasets. Key factors that influence loop performance include: 1. **Execution Time**: This refers to how long a loop takes to complete its iterations. It can be measured in terms of time complexity, typically expressed using Big O notation (e.g.
The concept of a "tensor product model transformation" is related to tensor products in mathematics and physics, especially in the context of linear algebra, quantum mechanics, and machine learning. Here's a brief overview of the key concepts involved: ### Tensor Product 1. **Tensor Product in Linear Algebra**: - The tensor product is a mathematical operation that takes two tensors (multi-dimensional arrays) and produces a new tensor.
Entitlement in the context of fair division refers to the concept of determining each participant's fair share or rightful claim to a resource or asset that is to be divided among multiple parties. The goal is to ensure that each party receives their fair portion based on predefined criteria, principles, or contributions.
In cooperative game theory, the nucleolus is a solution concept that aims to find a fair distribution of resources among players in a cooperative game. Specifically, it provides a way to allocate a total payoff to players such that the allocation minimizes the maximum dissatisfaction (or excess) of coalitions of players. ### Key Concepts: 1. **Cooperative Game**: In a cooperative game, players can form coalitions and make binding agreements to distribute payoffs among themselves.
The Centauro event is a notable incident in the field of astronomy and astrophysics, particularly involving the Centaur class of celestial objects. Centaurs are icy bodies that orbit between the outer planets, generally characterized by unstable orbits that can be affected by the gravity of nearby planets. However, there may be specific events or discoveries associated with Centaur objects that have been labeled as "Centauro events.
The Compton-Getting effect is a phenomenon in astrophysics and cosmic ray physics related to the movement of cosmic rays and their interaction with the Earth's atmosphere or a moving observer. Named after the physicist Arthur Holly Compton, this effect describes how the observed intensity and energy distribution of cosmic rays change due to the motion of the observer relative to the incoming cosmic rays. When an observer (such as Earth) moves through space, it can encounter cosmic rays that have a specific energy spectrum.
OREOcube is a concept or product developed by Nabisco, which is a brand of Mondelēz International, known for producing Oreo cookies. The OREOcube is essentially a three-dimensional cube made up of Oreo cookie elements that can be manipulated and assembled in various ways, often focusing on creativity, construction, and play. While the specifics may vary, the OREOcube is typically aimed at both adults and children, combining the familiar enjoyment of Oreos with an interactive experience.
The Book of Giants is an ancient Jewish apocryphal text that is part of the Enochic literature, traditionally associated with the Book of Enoch. Although it is not included in the canonical Bible, it provides insight into Jewish apocalyptic thought and mythology.
Matías Zaldarriaga is a physicist known for his work in cosmology, especially in the fields related to the Cosmic Microwave Background (CMB) and large-scale structure in the universe. He has contributed to understanding the early universe, inflationary models, and the formation of large-scale structures.

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