The term "entropy of activation" refers to the concept associated with the transition state theory of chemical reactions. It deals with the changes in entropy that occur as reactants transition to products through a high-energy transition state. In the context of a chemical reaction, the entropy of activation can be understood as follows: 1. **Transition State Theory**: This theory posits that reactants go through a high-energy transition state before forming products.
The Entropy Power Inequality (EPI) is a fundamental result in information theory that relates the entropy of a sum of independent random variables to their individual entropies.
Epoxyeicosatetraenoic acid (EET) refers to a group of epoxide-derived fatty acids that are metabolites of arachidonic acid, which is a polyunsaturated fatty acid. EETs are produced through the action of cytochrome P450 enzymes, particularly CYP2C and CYP2J isoforms, on arachidonic acid.
The Equatorial Geophysical Research Laboratory (EGRL) is a research facility primarily focused on studying geophysical phenomena occurring near the equator, particularly in relation to the Earth's atmosphere and space weather. Established to enhance understanding of the equatorial region's unique geophysical characteristics, EGRL conducts research in areas like ionospheric dynamics, geomagnetic activities, and atmospheric conditions.
Erhard Kietz does not appear to be a widely recognized name or concept in commonly available data up to October 2023. It is possible that he might be a private individual, a less prominent figure, or a term from a specific niche not included in mainstream knowledge.
Erich Bagge is not widely recognized as a prominent figure in historical or current events based on my training data up to October 2023. It's possible that he could be a lesser-known individual, a fictional character, or a figure not extensively covered in mainstream sources.
Erich Kähler (1917–2010) was a prominent German mathematician known for his contributions to several areas of mathematics, particularly in the fields of differential geometry and complex geometry. He is best known for the Kähler metric, which is a type of Riemannian metric that arises in complex differential geometry. Kähler's work has had significant implications in various areas, including algebraic geometry and mathematical physics.
Erich Sackmann is a notable German physicist recognized for his contributions to the field of biophysics. He has been particularly influential in the study of cell mechanics and the physical properties of biological membranes. Sackmann’s research has included topics such as the dynamics of membrane proteins, the behavior of lipid bilayers, and the mechanical properties of cells. His work has implications for understanding various biological processes and diseases at the microscopic level.
Ernst Abbe (1840–1905) was a German physicist and optician renowned for his contributions to the field of optics and microscopy. He is best known for his work on the theory of optical imaging and for his inventions that improved the design of microscopes. Abbe formulated the Abbe sine condition, which provides guidelines for the design of high-performance optical systems.
Probabilistic inequalities are mathematical inequalities that involve probabilities and provide bounds on the likelihood of certain events or random variables. These inequalities are useful in probability theory and statistics, as they help in understanding the behavior of random variables, enabling us to make predictions and infer properties of distributions.
Erwin Madelung is a significant figure in the field of physics, particularly known for his contributions to quantum mechanics and the development of the Madelung equations. These equations describe the motion of particles under the influence of a potential in a way that incorporates wave-like properties, reflecting the quantum nature of particles. The Madelung equations allow for a formulation of quantum mechanics that can be expressed in terms of hydrodynamic variables, linking quantum mechanics to classical fluid dynamics.
An **essential singularity** is a type of singular point in complex analysis that has specific properties. In a complex function \( f(z) \), a point \( z_0 \) is considered an essential singularity if the function behaves in a particularly wild manner as \( z \) approaches \( z_0 \). To understand this concept better, it's helpful to refer to the classification of singularities for complex functions.
An étale group scheme is a concept from algebraic geometry and the theory of group schemes. It can be understood in the context of scheme theory, which is a branch of mathematics that deals with geometric objects defined by polynomial equations, among other things. ### Group Schemes First, let's break down the term "group scheme." A group scheme is a scheme equipped with a group structure.
Eternal inflation is a concept in cosmology that arises from the theory of cosmic inflation, which posits that the universe underwent a rapid exponential expansion shortly after the Big Bang. In the traditional inflationary model, this period of inflation ends, leading to the formation of the universe as we know it. However, eternal inflation suggests a different scenario in which inflation does not end universally but continues indefinitely in some regions of space.

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