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.
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.
The term "exceptional object" can refer to different concepts depending on the context. Here are a few possible interpretations: 1. **In Programming**: - An "exception" is an event that occurs during the execution of a program that disrupts the normal flow of instructions. An "exceptional object" could refer to an object in programming that is designed to handle exceptions, or it could refer to an object that represents an error condition.
Erica Carlson can refer to different individuals depending on the context. One prominent person by that name is an accomplished physicist known for her work in the field of condensed matter physics and her advocacy for science communication and education. She has made contributions to the discussion on science-related issues, particularly in relation to public understanding of science.
"Without loss of generality" (often abbreviated as WLOG) is a phrase commonly used in mathematical proofs and reasoning. It indicates that a certain assumption can be made without affecting the generality of the argument or conclusion being presented. In other words, focusing on a specific case or example is permissible because the logic or outcome will hold true for other similar cases.
Evolutionary graph theory is a subfield of mathematics that applies concepts from graph theory to understand the dynamics of evolutionary processes, particularly how populations evolve over time within structured environments. It combines elements of population genetics, evolutionary biology, and network theory. In evolutionary graph theory, individuals in a population are represented as vertices (or nodes) in a graph, and the edges (connections between nodes) represent the interactions or relationships between these individuals.
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.
The "green flash" is a rare optical phenomenon that occurs just before sunrise or just after sunset. It is characterized by a brief flash of green light that appears above the upper rim of the sun, lasting only a few seconds. The phenomenon is caused by the refraction of sunlight in the Earth's atmosphere, which can cause the sunlight to bend and separate into its component colors.
Lev Zelyony is a notable figure in the field of mathematics, particularly known for his work in topology and its applications. He has contributed to various areas within mathematics and is recognized for his research and educational efforts.
The concept of a "language game" originates primarily from the work of philosopher Ludwig Wittgenstein, particularly in his later works, such as "Philosophical Investigations." A language game refers to the idea that the meaning of words and statements is rooted not in a rigid system or set of definitions, but in their use within specific contexts or activities.
Leland Stanford Morgan does not appear to refer to a widely recognized concept, entity, or figure in historical or cultural contexts as of October 2023. It is possible that you might be combining names or terms. Leland Stanford was a prominent American industrialist, politician, and one of the founders of Stanford University.
Lists of transport companies typically refer to compilations of businesses engaged in various modes of transportation, including logistics, freight, passenger transport, and more. These lists can differentiate companies by their specific services offered, geographical coverage, and the type of transport they specialize in. Below are some common categories of transport companies: ### 1. **Road Transport Companies** - **Freight Trucking Companies**: Specialized in transporting goods by road.
In mathematics, particularly in the field of topology and analysis, "local time" refers to a concept that describes the time evolution of a stochastic process, especially in the context of Brownian motion and other random processes. Local time helps to quantify how often a process visits a particular state or value over time. For instance, in the context of Brownian motion, local time can be viewed as a way to record the "amount of time" the Brownian motion spends at a particular level.
In the context of logic and formal systems, a **regular numerical predicate** typically refers to a type of predicate that deals with numerical properties or conditions. It can be used to describe a property or a condition that applies to numbers or the relationships between numerical values. However, the term “regular numerical predicate” could have various interpretations depending on the specific field or context in which it is used.
"Reviews in Mathematical Physics" is a scholarly journal that publishes review articles in the field of mathematical physics. The journal serves as a platform for researchers to present comprehensive overviews of specific areas of mathematical physics, highlighting recent developments, key concepts, and important results. These reviews can cover a wide range of topics within mathematical physics, which may include quantum mechanics, statistical mechanics, mathematical methods in physics, and more.
Robert C. Martin, often referred to as "Uncle Bob," is a prominent software engineer, author, and speaker known for his work in the field of software development and agile methodologies. He is one of the original authors of the Agile Manifesto and has made significant contributions to the principles of clean code and professional software development.
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!
Intro to OurBigBook
. Source. We have two killer features:
- 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-calculusArticles 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/derivativeVideo 2. OurBigBook Web topics demo. Source. - 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.
- to OurBigBook.com to get awesome multi-user features like topics and likes
- as HTML files to a static website, which you can host yourself for free on many external providers like GitHub Pages, and remain in full control
Figure 2. You can publish local OurBigBook lightweight markup files to either OurBigBook.com or as a static website.Figure 3. Visual Studio Code extension installation.Figure 5. . 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. - Infinitely deep tables of contents:
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