Professorships in mathematics refer to academic positions held by scholars who are responsible for teaching, conducting research, and contributing to the academic community within the field of mathematics. These positions can vary in rank, including titles such as Assistant Professor, Associate Professor, and Full Professor, each reflecting different levels of experience, achievement, and responsibility.
Empiricism is a philosophical theory that asserts that knowledge comes primarily from sensory experience. It emphasizes the role of observation and experience in the formation of ideas, rather than relying solely on intuition, reasoning, or innate knowledge. Empiricists argue that all knowledge begins with our experiences of the world, and that scientific inquiry should be based on empirical evidence obtained through experimentation and observation.
Emilio Rosenblueth is a notable figure in the field of engineering and systems analysis, particularly known for his contributions to the study of complex systems. He is often recognized for his work in the areas of operations research and systems engineering. One of his significant contributions is the concept of "system dynamics," which involves using mathematical models to understand the behavior of complex systems over time. Rosenblueth's work has had implications in various fields, including engineering, management, and environmental studies, among others.
Emily Warren is a notable scientist known for her work in the fields of environmental science and microbial ecology. Although specific details about her contributions may vary, she has been recognized for her research on how microbes interact with their environments, particularly in the context of climate change and ecosystem dynamics.
The end-of-history illusion is a psychological phenomenon where individuals believe that they have reached a stable and final state in their personality, preferences, or identity, and that they will not change significantly in the future. This belief often leads people to underestimate the extent to which they will evolve over time in their opinions, interests, and behaviors.
Energy accounting is the systematic tracking and management of energy consumption, generation, and savings within an organization or facility. It involves measuring, recording, analyzing, and reporting energy data to support decision-making and promote energy efficiency and sustainability. The primary goals of energy accounting include: 1. **Monitoring Energy Use**: Keeping track of how much energy is being consumed across various processes, systems, or buildings.
Engineering mechanics is a branch of engineering that deals with the behavior of physical bodies when subjected to forces and displacements. It involves the study of the principles of mechanics—encompassing both statics and dynamics—and applies these principles to analyze and solve problems related to structures, machines, and systems in engineering contexts. ### Key Areas of Engineering Mechanics: 1. **Statics**: This deals with bodies at rest or in equilibrium.
Enlightenment philosophy, also known simply as Enlightenment or the Age of Reason, refers to a movement in Western philosophy that emerged in the late 17th century and flourished during the 18th century. This period was characterized by a shift in thought that emphasized reason, individualism, and skepticism of traditional authority, particularly in the realms of religion and government.
S/2004 S 52 is a small natural satellite, or moon, of Saturn. It was discovered in 2004 and is part of the group of moons that orbit the planet. Because of its small size and irregular shape, it is often classified as a "moonlet." The numbering of the moon (S/2004 S 52) indicates it was the 52nd moon of Saturn to be discovered in the year 2004.
Sycorax is one of the irregularly shaped moons of Uranus. It was discovered in 1986 by a team of astronomers using the Voyager 2 spacecraft, which provided detailed images and data about the Uranian system. Sycorax is named after a character from William Shakespeare's play "The Tempest.
Surtur is a moon of Saturn, discovered in 2000. It is classified as one of the irregular satellites of the planet, meaning it has a non-standard orbit that is further out and more inclined compared to the more regular, larger moons. Surtur is relatively small, with an estimated diameter of about 6 kilometers (3.7 miles) and is part of a group of moons that are thought to be captured objects or remnants from the early solar system.
Telesto is one of Saturn's moons, specifically classified as one of the small inner moons of the planet. It is among the many celestial bodies that orbit Saturn and is notable for its irregular shape and surface features. Telesto is unique in that it is a co-orbital moon, meaning it shares its orbit with another moon called Calypso, and they are located in a 1:1 orbital resonance with each other.
The inverse problem in optics refers to the challenge of determining the properties of an object or a medium based on the measurements or observations made of the light that interacts with it. This problem is inverse because, rather than predicting the light's behavior given certain parameters of the object (the forward problem), it seeks to infer those parameters from the observed light behavior.

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