The Kakutani Fixed-Point Theorem is an important result in the field of mathematical analysis and game theory, particularly in the study of convex sets and continuous functions. It generalizes the Brouwer Fixed-Point Theorem, which is applicable in Euclidean spaces, to more complex scenarios involving multi-valued functions.
The Temporary Equilibrium Method is a concept used primarily in economics to analyze situations where an economy or market does not reach a long-term equilibrium. Instead, it examines the equilibrium conditions in a short-term frame, where certain factors are held constant or assumed to be fixed in the analysis. ### Key Features of the Temporary Equilibrium Method: 1. **Short-term Focus**: The method looks at the market dynamics over a brief period, rather than a long-term perspective.
Khalid ibn Abd al-Malik al-Marwarrudhi was a prominent Islamic scholar and hadith compiler from the 9th century. He is particularly known for his works in the field of hadith literature and for being a student of various notable scholars of his time. He is often associated with the transmission and preservation of hadith, which are the sayings and actions of the Prophet Muhammad.
Petro Chernyaha is not a widely recognized term or concept as of my last knowledge update in October 2021. It could potentially refer to an individual, a business, or a specific topic that has emerged after that date. If it relates to a recent news event, a person who gained prominence, or a topic that has developed post-2021, I would not have information on it. To get the most accurate and up-to-date information, consider checking current news sources or databases.
Willebrord Snellius, also known as Snell, was a Dutch mathematician and astronomer, best known for formulating Snell's Law of Refraction in the early 17th century. His work laid the foundation for understanding how light refracts or bends when it passes from one medium into another, a principle fundamental to optics. Snellius is also recognized for his contributions to various areas of mathematics, including trigonometry and cartography.
The International Earth Rotation and Reference Systems Service (IERS) is an international organization that plays a key role in the field of geodesy, astronomy, and Earth rotation. Established in 1987, its primary mission is to monitor the Earth's rotation, maintain and disseminate reference systems, and provide accurate data and standards for global positioning systems.
The International Geodetic Student Organization (IGSO) is a global student organization focused on promoting the field of geodesy and related disciplines among students. It serves as a platform for students pursuing studies and careers in geodesy, geomatics, surveying, and other related areas to connect, collaborate, and share knowledge. IGSO aims to foster international cooperation, encourage research, and support educational initiatives within the geodetic community.
The Photochemical Reflectance Index (PRI) is a vegetation index used to assess the physiological state of plants and their photosynthetic activity. It is particularly useful for monitoring stress in plants, such as drought or nutrient deficiency, and understanding the dynamics of ecosystems. PRI is based on the reflection of light in certain wavelengths, specifically focusing on the relationship between the reflectance in the red edge (around 700 nm) and the reflectance in the green region of the spectrum (approximately 530 nm).
Remote sensing in ecology and conservation refers to the use of satellite or aerial imagery to collect and analyze data about the Earth's surface and its ecosystems without physical contact. This technology enables researchers and conservationists to monitor, assess, and manage environmental conditions and natural resources efficiently and effectively. ### Key Aspects of Remote Sensing in Ecology and Conservation: 1. **Data Collection**: Remote sensing involves the capture of data using sensors that measure electromagnetic radiation reflected or emitted from the Earth’s surface.
Alik Ismail-Zadeh is a prominent geophysicist and researcher known for his work in the fields of geodynamics, earthquake forecasting, and the effects of natural hazards. He has contributed significantly to understanding geophysical phenomena and has been involved in various international research initiatives and collaborations. Ismail-Zadeh has also been recognized for his academic contributions, including numerous publications and presentations in scientific forums.
Geomagnetic secular variation refers to the long-term changes in the Earth's magnetic field, which occur over periods of years to centuries. Unlike the daily and seasonal fluctuations in the magnetic field, secular variation encompasses changes in the strength, structure, and orientation of the magnetic field over much longer timescales. These changes can be caused by various factors, including: 1. **Movement of the Earth's molten outer core**: The Earth's magnetic field is generated by the motion of electrically conducting fluids in its outer core.
In geology, "equidimensional" refers to a term used to describe mineral grains or crystals that have approximately equal dimensions in all directions, resulting in a roughly isotropic shape. This means that the length, width, and height of the crystal or grain are similar, giving it a uniform appearance regardless of the orientation in which it is viewed. Equidimensional grains are typically found in certain types of igneous and metamorphic rocks.
Drew Berry by Ciro Santilli 40 Updated 2025-07-16
This is the dude that made many of the amazing WEHImovies animation.
Unfortunately, the process appears to be quite manual and laborious, more art than simulation, based on the software list used: www.drewberry.com/faq
Video 1.
Animations of unseeable biology by Drew Berry (2021)
Source. Presented at TED.
Crystal detector by Ciro Santilli 40 Updated 2025-07-16
The first diodes. These were apparently incredibly unreliable, especially for portable radios, as you had to randomly search for the best contact point you could find in a random polycrystalline material!!
And also quality was highly dependant on where the material was sourced from as that affected the impurities present in the material. Later this was understood to be an issue of doping.
It was so unreliable that vacuum tube diodes overtook them in many applications, even though crystal detectors are actually semiconductor diodes, which eventually won over!
For a long time, before artificial semiconductors kicked in, people just didn't know the underlying physical working principle of these detectors. What I cannot create, I do not understand basically.

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