Kramers' law, named after physicist Hendrik Anthony Kramers, primarily refers to a concept in the theory of reaction rates and transition state theory in chemical kinetics. This law provides a framework for understanding how a system transitions from a metastable state to a stable state, particularly in the context of chemical reactions where a reactant must overcome an energy barrier to transform into products.
Dredge-up is a process occurring in stellar astrophysics, particularly in the context of red giant stars. It involves the mixing of materials from the interior of a star to its outer layers, specifically bringing nuclear fusion products from deeper layers, such as helium and heavier elements, to the surface. This process typically happens during specific phases of a star's evolution, notably during the red giant phase when a star expands and cools.
A helium flash is a crucial astrophysical event that occurs in the later stages of a star's life, particularly in low- to intermediate-mass stars (like those in the range of about 0.8 to 8 solar masses). This phenomenon happens when the core of a red giant, primarily composed of helium, becomes sufficiently hot and dense to ignite helium fusion after a period of hydrogen burning in the star's earlier life stages.
The term "instability strip" can refer to several different concepts depending on the context, but it is most commonly used in meteorology and atmospheric science. In this context, an instability strip is a region in a diagram that represents the stability properties of the atmosphere, particularly with regard to convection. In meteorology, the instability strip typically refers to a band on a thermodynamic diagram, such as a skew-T log-P diagram, where certain conditions indicate that the air is unstable.
The mass-luminosity relation is an important empirical relationship in astrophysics that describes how the luminosity (the amount of light energy radiated per unit time) of a star is related to its mass. This relationship is particularly applicable to main sequence stars, which are stars that are in the stable phase of hydrogen burning in their cores.
Photo-erosion refers to the process by which materials, such as soil, rock, or other surfaces, are gradually worn away or eroded due to exposure to light, particularly ultraviolet (UV) radiation from the sun. This phenomenon can occur in various geological and environmental contexts, often influencing the stability and structure of landscapes.
The Cahn–Hilliard equation is a partial differential equation that describes the phase separation and motion of interfaces in a binary mixture or alloy. It is particularly important in materials science, as it models the process by which two phases of a material (such as solid and liquid) separate from each other, leading to the formation of distinct microstructures over time. The equation was introduced by John W. Cahn and John E.

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