Quasiconvexity is a concept that arises in the context of the calculus of variations and optimization, particularly when dealing with variational problems that involve integral functionals. While convexity is a well-understood property that applies to functions from \(\mathbb{R}^n\) to \(\mathbb{R}\), quasiconvexity generalizes this idea and plays a significant role in ensuring certain properties for minimization problems.
Variational inequality is a concept in mathematical analysis and optimization that involves finding a function or point that satisfies certain conditions related to inequality constraints. It is particularly relevant in the study of equilibrium problems, optimization problems, and differential inclusions.
The Weierstrass–Erdmann conditions are a set of necessary conditions that must be satisfied by the trajectories of optimal control problems at points where the control switches from one value to another. These conditions arise in the context of the calculus of variations and optimal control theory when dealing with piecewise continuous controls.
Calendrical calculations refer to the mathematical methods and algorithms used to compute calendar dates, determine the day of the week for any given date, and perform conversions between different calendar systems. This area of study encompasses various aspects, including: 1. **Date Calculations**: Determining the difference between two dates, calculating future or past dates by adding or subtracting days, months, or years, and understanding leap years.
The date of Easter varies each year because it is determined based on a lunar calendar. Easter is celebrated on the first Sunday after the first full moon following the vernal equinox (around March 21). This means that Easter can fall anywhere between March 22 and April 25. For specific years, here are the dates for Easter in the near future: - In 2024, Easter will be on March 31.
Dodecatemoria, also known as the "Dodecatemoria of the Tetraktys," is a concept in ancient Greek philosophy, particularly associated with Pythagorean thought. The term itself is derived from the Greek words "dodeca," meaning twelve, and "temoria," referring to divisions or parts.
As of my last update in October 2021, Aleksandar Nikolov is a computer scientist known for his work in theoretical computer science, particularly in the fields of algorithms, machine learning, and complexity theory. He has contributed to various areas, including the development of algorithms for optimization problems and advancements in understanding machine learning from a theoretical perspective.
Anne Broadbent is a researcher known for her work in psychology and cognitive science. She has made contributions to the field, particularly in areas related to attention, perception, and social cognition. More specific details about her research or professional background may depend on particular publications or roles she has held.
Arthur Preston Mellish does not appear to be a widely recognized public figure or concept based on available information up to October 2023. It's possible that he may be a private individual, a historical figure of local significance, or a fictional character that is not extensively documented in popular sources.
As of my last update in October 2023, "Brian Marcus" does not refer to a widely known figure or entity that would be identifiable in popular culture, history, or specific fields. There may be many individuals with that name across various professions and contexts.
Charles Macdonald is a professor known for his work in the field of academia, though specific details about his field of expertise or further accomplishments would require more information, as there might be multiple individuals with that name in various disciplines.
"Equatorium" generally refers to a type of astronomical calculator or instrument that was used in the medieval and Renaissance periods to compute positions of celestial bodies and facilitate astronomical calculations. It is sometimes associated with the work of notable astronomers such as Giovanni B. Benedetti and could also refer to a device used for solving equations related to planetary motions.
Erwin Kreyszig was a renowned mathematician and author, best known for his contributions to the fields of differential equations and applied mathematics. He was particularly noted for his textbook "Advanced Engineering Mathematics," which is widely used in engineering and mathematics courses. The book covers a range of topics including calculus, differential equations, linear algebra, and complex analysis, providing a comprehensive resource for students and professionals in engineering and physical sciences.
David J. Lockwood could refer to several individuals, depending on the context. One prominent figure is a British businessman and the former Chairman of the UK-based company, KPMG. Another possibility is a scholar or academic known for contributions in a specific field.
Izabella Łaba does not appear to be a widely recognized figure or term based on the information available up to October 2023. It's possible that she could be a person in a specific field, a less-publicized individual, or perhaps a fictional character.
Peter Borwein was a notable Canadian mathematician recognized for his contributions to various fields, including number theory, approximation theory, and computational mathematics. He was particularly well-known for his work on mathematical constants and for developing algorithms for computing π (pi) and other transcendental numbers. Borwein was also an advocate for the use of computers in mathematical research and education. He co-authored several influential papers and books, often collaborating with his brother, Jonathan Borwein.
Nina Snaith is a notable figure in the field of mathematics, particularly recognized for her work in algebra and number theory. She is known for her research on various topics, including the arithmetic properties of algebraic varieties and the study of motives in algebraic geometry. In addition to her research contributions, she is also involved in education, mentoring students, and promoting mathematical understanding.

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