Marilda Sotomayor is a prominent figure in the field of mathematics, particularly known for her work in functional analysis, operator theory, and mathematical education. She has made significant contributions to the understanding of various mathematical concepts and is involved in research and teaching.
Georg Nöldeke (1832–1918) was a notable German scholar and philologist, particularly recognized for his contributions to the study of Islamic literature, including Arabic and Persian texts. He played a significant role in the analysis and interpretation of the Quran and Islamic historical literature. One of his well-known works is the "History of the Quran," in which he examined the evolution of the Quranic text and its historical context.
John Harsanyi (1920–2000) was a Hungarian-American economist and Nobel laureate known for his significant contributions to game theory, behavioral economics, and the theory of social choice. He was born in Hungary and faced persecution during World War II, which led him to emigrate to Australia, and later to the United States.
The term "Leighton relationship" generally refers to a concept in the field of mathematics, particularly in algebraic geometry and number theory, but it might also appear in other contexts. However, the most widely recognized usage pertains to the work of mathematician Leighton. In the context of algebraic geometry, it may describe relations or patterns between algebraic structures or could potentially relate to the behavior of certain mathematical properties under specific conditions.
Merrill M. Flood is best known for his contributions to the fields of mathematics, operations research, and game theory. He was an influential figure in the development of various mathematical concepts and methods, particularly those related to decision-making and optimization. He worked on problems such as the concept of bargaining and cooperative game theory, and he is recognized for his work on the Flood algorithm, which addresses network flows and related optimization problems.
Peter L. Hurd is a notable figure in the field of science, particularly known for his work in physics and optics. His research often focuses on the development of optical technologies and their applications. If you are referring to something specific related to Peter L.
Robert J. Elliott could refer to several individuals, as it is a relatively common name. However, one notable person is Robert J. Elliott, a prominent figure in the field of finance and risk management, particularly known for his contributions to the development of statistical methods and theoretical frameworks for financial applications. If you have a specific context in mind (such as finance, academia, literature, etc.
Werner Leinfellner is an Austrian philosopher known for his contributions to the fields of logic, language, and the philosophy of mathematics. He has been associated with various philosophical movements, including analytic philosophy and has worked on topics related to formal systems and the foundations of mathematics. Leinfellner's work often addresses the intersection of philosophy and mathematical logic, exploring the implications of logical systems for our understanding of language and reasoning.
A Coalition-proof Nash equilibrium (CPNE) is a solution concept in game theory that extends the traditional notion of Nash equilibrium to account for the possibility of coalition formation among players. In a standard Nash equilibrium, a strategy profile is stable if no single player can benefit by unilaterally changing their strategy, given the strategies of the other players. However, it does not consider the potential for groups of players to deviate together from the equilibrium, which can lead to different outcomes.
Roland Sprague could refer to multiple things, but without specific context, it's difficult to provide a precise answer. One potential reference is to an individual or professional in various fields such as art, academia, or business.
Suzanne Scotchmer (1948–2014) was an influential American economist recognized primarily for her contributions to the fields of public economics and intellectual property. She was a professor at the University of California, Berkeley, where she made significant contributions to the understanding of innovation, knowledge creation, and patent policy. Scotchmer's work often explored the intersection of economics and intellectual property, analyzing how different systems of protection for innovation affect economic growth and the dissemination of knowledge.
In topology, the **disjoint union** (also known as the coproduct in the category of topological spaces) is a way to construct a new topological space from a collection of topological spaces such that the new space captures the "disjointness" of the original spaces.
Markov Perfect Equilibrium (MPE) is a refinement of the concept of Nash Equilibrium, applied to dynamic games with incomplete information. In such games, players make decisions at various points in time, and their strategies can depend not just on the current state of the game but also on the entire history of play. However, in the MPE, players base their decisions on the current state of the game rather than on its history.
The term "intuitive criterion" can refer to different contexts depending on the field of study or application, but generally, it describes a basis for making decisions or judgments that is guided by intuition rather than formal methods or analytical processes. Here are a few contexts in which you might encounter "intuitive criterion": 1. **Decision Making**: In decision theory or behavioral economics, an intuitive criterion may refer to a decision-making approach that relies on gut feelings, instincts, or heuristic methods.
A **normal-form game** is a representation of a strategic interaction among players in which each player chooses their actions simultaneously, and the outcomes depend on the combination of actions taken by all players. The normal-form game is typically represented in a matrix format, where: 1. **Players**: The game involves two or more players. 2. **Strategies**: Each player has a set of possible strategies or actions they can take.
An organizational-dynamic game is a concept that combines elements of game theory and organizational behavior to analyze and model the interactions and strategic decisions within organizations. The term can refer to various frameworks or simulations used to understand how agents (individuals or groups within an organization) interact over time, make decisions, and respond to changes in their environment or in the behaviors of others.
"Proper equilibrium" typically refers to a stable state in which various forces or factors are balanced in such a way that there is no tendency for change. This term can appear in various fields, including physics, economics, and environmental science, among others.
A self-enforcing agreement is a type of contract or arrangement in which the terms and conditions are designed to be automatically upheld or enforced without the need for external intervention, such as a court or a regulatory agency. In other words, the agreement contains built-in mechanisms that incentivize the parties to comply voluntarily, as the consequences of non-compliance are sufficiently significant to deter breaches.
The CC–PP game likely refers to a concept within game theory or a specific type of strategic interaction involving two players, commonly denoted as "CC" for "Cooperate-Cooperate" and "PP" for "Play-Play" (often used in the context of cooperative vs. non-cooperative scenarios). However, the specific acronym can sometimes vary in meaning depending on the context in which it is used.
A parity game is a type of two-player infinite game played on a directed graph, where the nodes of the graph are assigned priorities (non-negative integers). The two players, commonly referred to as Player 0 and Player 1, take turns moving a token along the edges of the graph, starting from an initial node. The objective of each player is to ensure that the path taken by the token satisfies certain conditions related to the priorities of the nodes.

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