The Paley-Wiener integral is a mathematical concept used primarily in the field of signal processing and Fourier analysis. It is associated with the analysis of functions that are band-limited, meaning that they contain no frequencies higher than a certain maximum frequency. The Paley-Wiener integral is particularly important in the study of the properties of these functions in relation to the Fourier transform.
The Reflection Principle is a fundamental concept in the study of stochastic processes, particularly in the context of the Wiener process (also known as Brownian motion). The principle provides a method for analyzing the behavior of Brownian paths, especially concerning their maximum or minimum values.
"De Constantia" is a philosophical work written by the Dutch philosopher and statesman Hugo Grotius, who is often considered one of the founding figures of international law. The work, titled "De Constantia," translates to "On Constancy" in English, and it was written in 1620, at a time when Grotius was in exile.
Epoché is a philosophical term that originates from ancient Greek, meaning "suspension" or "bracketing." It is primarily associated with the discipline of phenomenology, particularly in the works of the German philosopher Edmund Husserl. In phenomenology, Epoché refers to the practice of suspending judgment about the natural world and our preconceived notions to focus on our immediate experiences and perceptions.
Oikeiôsis is a philosophical concept from ancient Stoicism that refers to the process of recognizing what is natural and appropriate to oneself and one's role in the world. The term is often translated as "appropriation" or "familiarization," and it encompasses the idea of developing an understanding and attachment to one's own nature, as well as to one’s family, community, and humanity at large. In Stoic thought, oikeiôsis is an essential part of ethical development.
In Stoic philosophy, "passions" (or "passiones" in Latin and "pathē" in Greek) refer to intense emotions or feelings that can disrupt rational thought and lead to irrational behavior. Stoics differentiate between "passions" and "virtue" or "rational emotional responses." Stoic philosophers, like Seneca, Epictetus, and Marcus Aurelius, believed that passions often arise from incorrect judgments about what is good or bad.
Stoic physics is an integral part of Stoic philosophy, which originated in ancient Greece and Rome. The Stoics, including key figures such as Zeno of Citium, Cleanthes, and later thinkers like Seneca and Marcus Aurelius, developed a comprehensive system of thought that encompassed ethics, logic, and physics. In Stoic thought, physics refers not just to the study of the natural world, but also to the underlying principles that govern the universe.
In physics, particularly in the fields of particle physics, quantum field theory, and statistical mechanics, a coupling constant is a parameter that determines the strength of an interaction or force between particles or fields. It essentially quantifies how strongly a particle interacts with others or with a field.
"Russian string theorists" generally refers to a group of physicists from Russia who specialize in string theory, a theoretical framework in physics that attempts to reconcile general relativity and quantum mechanics. String theory posits that the fundamental building blocks of the universe are not point particles but rather one-dimensional objects called "strings." These strings vibrate at different frequencies and can manifest as different particles, such as quarks and electrons.
Erica Ollmann Saphire is a prominent American scientist and researcher known for her work in the field of virology, particularly in studying viral infections and the immune system's responses. She has focused on viruses such as Ebola and other pathogens, exploring how they interact with the immune system and developing potential therapeutic strategies. Saphire is affiliated with institutions such as the Scripps Research Institute, where she conducts research aimed at understanding viral mechanisms and advancing vaccine development.
As of my last update in October 2021, there is no widely known or prominent figure by the name Jason Micklefield. It's possible that he is a private individual or a person who has gained prominence after that date.
As of my last knowledge update in October 2023, there is no widely recognized organization or entity known as the "British Institutions Reflection Profiling Syndicate." It's possible that it could be a niche group, a fictional concept, an acronym, or a newly established organization that has emerged since my last update.
Shantanu Chowdhury could refer to various individuals, as it's a relatively common name. Without specific context, it is difficult to pinpoint a particular person.
Zehra Sayers is a prominent Turkish biologist and researcher known for her work in the field of molecular biology and biochemistry. She has made significant contributions to the understanding of the mechanisms of DNA repair and the molecular basis of cancer. Sayers has also been involved in various academic and research initiatives, contributing to the advancement of scientific knowledge in her areas of expertise.
A diapir is a geological structure formed by the upward movement of a viscous or less dense material (such as salt or gas) through overlying denser rock layers. This process can occur when the lower material exerts enough pressure to break through the overlying layers, causing them to bulge or dome upwards. Diapirs are often associated with salt, where salt formations can flow and rise through sedimentary layers, creating features that can be seen in the landscape.
Econophysics is an interdisciplinary field that applies concepts and methods from physics, particularly statistical mechanics, to understand complex economic systems and phenomena. The term originated in the late 1990s and has gained prominence as researchers began to explore how physical models could help elucidate economic behaviors, especially in areas such as finance, market dynamics, and wealth distribution.
The International Continental Scientific Drilling Program (ICDP) is an international initiative aimed at promoting scientific drilling into the Earth's continental crust. Established in the late 1990s, the ICDP seeks to facilitate research in various fields such as geology, paleontology, environmental science, and tectonics by providing access to deep continental geological formations.
Iron-nickel alloys are metallic materials composed primarily of iron and nickel, with varying proportions of each metal. These alloys are notable for their unique properties that make them useful in various applications. Some common types of iron-nickel alloys include: 1. **Invar**: This is a low-expansion alloy containing about 36% nickel and 64% iron.
The K-U ratio is a financial metric used to evaluate the performance of a company's stock by comparing its earnings potential to its market capitalization. The "K" represents the company's earnings before interest and taxes (EBIT), and the "U" generally refers to the company's market capitalization.
"Travel to the Earth's Center" likely refers to the concept of traveling to the Earth's core or the idea popularized by literature, specifically Jules Verne's classic science fiction novel "A Journey to the Center of the Earth." Published in 1864, the novel tells the story of a professor, his nephew, and their guide who embark on a subterranean adventure after discovering a passage to the center of the Earth in Iceland.

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