Exterior calculus, also known as exterior differential forms, is a mathematical framework used in differential geometry and topology that is particularly powerful for dealing with differential forms and their integrals over manifolds. It offers a way to generalize concepts from vector calculus to higher dimensions and more abstract spaces.
The term "extinction cross" commonly refers to a specific concept in the field of ecology and conservation biology. It generally pertains to the intersection of two extinction dynamics: the extinction of species and the loss of genetic diversity within those species. In a broader sense, it can also represent the interaction between various factors leading to species extinction, such as habitat loss, climate change, invasive species, and human activity.
The term "extraterritorial crossroad" is not a widely recognized or established concept in academic literature or common discourse. However, "extraterritorial" typically refers to something that exists or operates outside the jurisdiction of a particular country or state, while a "crossroad" is often metaphorical for a critical juncture or decision point.
In mathematics, "F4" can refer to different concepts depending on the context. Here are a couple of potential interpretations: 1. **F_4 (Lie Algebra)**: In the context of Lie algebras, \( \mathfrak{f}_4 \) is one of the five exceptional simple Lie algebras.
The term "Factor system" can refer to various concepts depending on the context, including mathematics, economics, and systems theory. Here are a few interpretations: 1. **Mathematics**: In mathematics, a factor system typically refers to a collection of factors that can be used to break down numbers or algebraic expressions into their constituent parts. For example, in number theory, factorization involves expressing a number as a product of its prime numbers.
F. A. Meier could refer to a few different things, but it is likely that you are referring to F. A. Meier (Friedrich Albrecht Meier), a company or an individual known for specific contributions in a certain field.
Fareed Mustafa Kamil Yasseen does not appear to be a widely recognized public figure or concept as of my last update in October 2023. If he is someone specific or notable in a particular field (such as art, science, politics, etc.), it's possible that he hasn't gained prominence in mainstream sources or that he has become notable after my last training data.
Farthest-first traversal is a strategy used primarily in clustering and data sampling algorithms. It is designed to efficiently explore data points in a dataset by selecting points that are as far away from existing selected points as possible. This approach is often used in scenarios where you want to create a representative sample of data or construct clusters that are well-distributed across the data space.
FASTA format is a text-based format for representing nucleotide or protein sequences. It is widely used in bioinformatics for storing and sharing biological sequences. The format was developed in the mid-1980s for use in sequence alignment software and has since become a standard format for sequence data. A FASTA file typically includes the following: 1. **Header Line**: The first line begins with a greater-than sign (`>`) followed by a sequence identifier and an optional description.
Samarium-147 (Sm-147) is a radioactive isotope of the element samarium, which has the atomic number 62. It is one of the isotopes of samarium, with a notable half-life of about 106 billion years, making it one of the more stable isotopes of this element. Samarium-147 decays through beta decay to neodymium-147 (Nd-147).
The 20th century was a significant period for the development of mathematics in Israel, marked by the contributions of several prominent mathematicians. Some key figures include: 1. **Paul Erdős** - While he is often associated with Hungary, Erdős spent considerable time in Israel and collaborated with many Israeli mathematicians. He was prolific in various areas, including number theory and combinatorics.
Israeli cryptographers refer to individuals from Israel who specialize in the field of cryptography, which is the practice of securing communication and information through the use of codes and ciphers. Israel is known for its advanced technological infrastructure and a robust academy that emphasizes computer science and cybersecurity. The country has made significant contributions to the field of cryptography, both through academic research and practical applications within military, governmental, and commercial sectors.
Israeli information theorists refer to researchers and academics in Israel who specialize in information theory, a branch of applied mathematics and electrical engineering that involves the quantification of information. Information theory was founded by Claude Shannon in the mid-20th century and has applications in various fields including telecommunications, data compression, cryptography, and statistical inference. Israel has a vibrant academic and technological landscape, producing many prominent figures in various scientific fields, including information theory.
Itamar Procaccia is an Israeli mathematician known for his work in the fields of applied mathematics, particularly in the areas of mathematical physics, numerical analysis, and computational methods. He is a professor at the Department of Computer Science at the Weizmann Institute of Science in Israel. His research often involves the study of complex systems, fluid dynamics, and various mathematical modeling techniques. Procaccia has made significant contributions to understanding phenomena in dynamics and turbulence through the lens of statistical mechanics and chaos theory.
Italian geophysicists are scientists who specialize in the study of the Earth's physical properties and processes in Italy. They may focus on various aspects, including seismology, volcanology, geomagnetism, and gravitational studies, often related to the unique geological features of Italy, which is known for its complex tectonics and seismic activity due to its location at the intersection of the Eurasian and African tectonic plates.
Maimonides, also known as Rabbi Moses ben Maimon or by the acronym Rambam (which stands for "Rabbi Moshe ben Maimon"), was a prominent medieval Jewish philosopher, astronomer, physician, and Torah scholar born in Cordoba, Spain, in 1135 and died in Fustat, near Cairo, in 1204.
Emmanuel David Tannenbaum is not a widely recognized public figure or concept as of my last update. There may have been developments or individuals with that name who emerged after October 2023.
As of my last update in October 2023, there isn't widely recognized information about an individual named Isabella Novik. It's possible that she could be a private individual, a character in a work of fiction, or someone who has gained prominence after that date. If you have specific context—such as a field (e.g.

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