Transversality conditions are mathematical constraints used primarily in the field of optimal control theory and calculus of variations. They ensure that solutions to optimization problems—particularly those involving differential equations—are well-defined and meet certain criteria at the endpoints of the optimization interval. In a typical setting, when optimizing a functional that involves a continuous state variable over a specified interval, the transversality condition helps to determine the behavior of the control (or path) at the boundary points.
Trend surface analysis is a spatial analysis technique used in geography, geostatistics, and various fields dealing with spatial data. It helps to identify and model the underlying patterns and trends within spatial data sets by fitting a mathematical function to a set of observed data points. The main objective is to create a continuous surface that represents the spatial distribution of a variable of interest.
Ivan K. Schuller is a physicist known for his work in condensed matter physics, particularly in the areas of magnetism, thin films, and spintronics. He has made significant contributions to the understanding of various physical phenomena and has published numerous research papers in reputable scientific journals. Schuller has also been involved in academia and has held various positions at institutions such as the University of California, San Diego.
Anthony Moffat could refer to a person, likely involved in various fields such as education, business, or art. However, without more context, it's difficult to provide specific information.
Anthony Patrick Fairall is a prominent astrophysicist known for his work in the field of observational astronomy, particularly in areas such as galaxy formation and evolution, as well as the study of active galactic nuclei. He has been involved in various research initiatives and has contributed to several academic publications in these domains.
A volume mesh is a 3D representation of a geometric domain that divides the space into smaller, simpler shapes called elements, which are used in numerical simulations, such as finite element analysis (FEA), computational fluid dynamics (CFD), and other engineering applications. The primary purpose of creating a volume mesh is to enable the numerical solution of partial differential equations that describe physical phenomena, such as fluid flow, heat transfer, or structural behavior.
Jacques Bouveresse (1939–2021) was a French philosopher known for his contributions to philosophy of language, epistemology, and the philosophy of science. He was also recognized for his work on the philosophy of mind and the nature of belief. Bouveresse was a prominent advocate of analytical philosophy in France and engaged with the works of philosophers such as Ludwig Wittgenstein and Karl Popper.
The Society for Industrial and Applied Mathematics (SIAM) recognizes outstanding contributions to the field of applied and computational mathematics through various awards. Some of the prominent awards given by SIAM include: 1. **SIAM Prize for Distinguished Service to the Profession**: This award honors individuals who have made exceptional contributions to the field through service to the profession.
Expected utility is a fundamental concept in decision theory and economics that provides a framework for evaluating choices under uncertainty. It is based on the idea that individuals make decisions by considering the potential outcomes of their choices, each associated with its likelihood of occurring, and assigning a utility value to each outcome. Here's a breakdown of the main components of expected utility: 1. **Outcomes**: These are the different possible results of a decision or action.
Economic statistics refers to the set of data and quantitative measures that are used to analyze and understand economic phenomena. This field encompasses a wide array of information related to the economy, including indicators that reflect economic performance, structure, and behavior. Economic statistics are essential for policymakers, researchers, businesses, and analysts as they help in decision-making, economic forecasting, and evaluating the effectiveness of economic policies.
Jeffrey Mandula is not a widely recognized public figure or concept as of my last update in October 2023. It's possible he could be a private individual, a professional in a specific field, or a name associated with a lesser-known entity.
As of my last knowledge update in October 2021, there is no widely recognized figure or entity named Chris Tinney. It is possible that Chris Tinney could refer to a private individual or a name that has gained prominence after my last update.
John Searle is an influential American philosopher, particularly known for his work in the philosophy of language, philosophy of mind, and social philosophy. Born on July 31, 1932, Searle is best known for several key contributions, including: 1. **Speech Act Theory**: Searle expanded upon J.L. Austin's work on how language functions in social contexts, arguing that communication involves not only conveying propositions but also performing actions through language (e.g.
Self-sustainability refers to the ability of an individual, community, organization, or system to meet its own needs without relying on external resources or assistance. This concept can apply to various contexts, including environmental, economic, and social spheres. 1. **Environmental Self-sustainability**: In this context, self-sustainability often emphasizes practices that ensure natural resources are used efficiently and responsibly, allowing ecosystems to maintain their health and biodiversity.

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