Michael Schur is a prominent American television producer, writer, and director, known for his work on several acclaimed television series. He is particularly famous for co-creating and producing shows such as "Parks and Recreation," "The Good Place," and "Brooklyn Nine-Nine." Schur's work often blends comedy with thoughtful themes and character development, earning him recognition in the television industry.
In combinatorial game theory, "cooling" and "heating" are concepts that pertain to moves and the resulting temperature of positions in certain games. These terms are often used in the context of the strategic elements of a game, particularly in the analysis of positions and the impact of moves on future gameplay. 1. **Cooling**: This refers to moves that make a position less favorable for the player about to move (often termed the "next player").
Cram is a fast-paced, strategic board game designed for two players. The objective is simple: players take turns placing their pieces on a grid-like board, aiming to create a path from one side of the board to the other while blocking their opponent's path. The game combines elements of tactical maneuvering and spatial reasoning, as players must think ahead, anticipate their opponent's moves, and adapt their strategy accordingly.
Game complexity refers to the various dimensions and aspects that determine the intricacy of a game. It encompasses multiple factors, including: 1. **Strategic Depth**: The range of strategies available to players and the implications of their decisions. A game with high strategic depth often requires thoughtful planning and offers multiple ways to achieve victory. 2. **Rules and Mechanics**: The complexity of the game's rules and how they interact can significantly affect player experience.
Weather testing of polymers refers to the process of evaluating the durability and performance of polymer materials when exposed to outdoor environmental conditions over time. This testing is essential for understanding how polymers behave under various weather-related stresses, such as UV radiation, temperature fluctuations, humidity, rain, and ozone exposure.
Fibonacci Nim is a variant of the traditional game of Nim, which introduces a unique twist using Fibonacci numbers. In Fibonacci Nim, players take turns removing objects (or stones) from a heap, with the number of objects that can be removed on any turn determined by Fibonacci numbers.
Infinite chess is an extension of traditional chess played on an infinite chessboard, meaning there are no borders or edges to the board. This allows for an endless range of movement and strategies, as pieces can continue to move indefinitely in any direction without constraint. In infinite chess, the basic rules of chess apply, but there are some adjustments to accommodate the vastness of the board.
Engineering tolerance refers to the permissible limits of variation in a physical dimension or measured value of a manufactured part or system. It defines how much a dimension, such as length, width, height, or weight, can deviate from the specified value, while still allowing the part to function properly in its intended application. Tolerances are crucial in engineering and manufacturing because: 1. **Fit and Function**: They ensure that parts fit together correctly and operate as intended.
Taylor's theorem is a fundamental result in calculus that provides a way to approximate a function using polynomials. Specifically, it states that any sufficiently smooth function can be approximated near a point by a polynomial whose coefficients are determined by the function's derivatives at that point. ### Formal Statement: Let \( f \) be a function that is \( n \)-times differentiable at a point \( a \).
The term "Partisan game" can refer to a couple of different contexts, so it would be helpful to clarify what specific aspect you're interested in. However, here are two primary interpretations: 1. **Political Context**: In the realm of politics, a "partisan game" refers to manipulative tactics or strategies employed by political parties or groups to gain an advantage over their opponents.
In game theory, a "star" typically refers to a specific type of network structure or game configuration, where one player (often referred to as the "central" or "hub" player) is directly connected to multiple other players (the "spokes" or "periphery" players), but those peripheral players are not directly connected to each other. This can be visualized as a star shape, with the central player at the center and the other players forming the points of the star.
Mikhail Kats is not a widely recognized public figure or entity, so there might be multiple individuals with that name in various fields. However, without more specific context, it's difficult to determine who or what you're referring to.
"Toads and Frogs" typically refers to a mathematical counting game or puzzle that involves two types of tokens or pieces representing toads and frogs. The classic version of the game involves moving these tokens across a board with certain rules, often simulating the movement of two species on opposite sides of a linear board. The objective is usually to bring the frogs and toads to their respective sides by jumping over one another or swapping places, which teaches counting, strategy, and problem-solving skills.
Additive combinatorics is a branch of mathematics that studies combinatorial properties of sets of integers, particularly focusing on operations like addition. It explores how various properties of sets relate to their additive behaviors, as well as the relationships among different sets under addition.
It seems there might be a slight misspelling in your query, as "Adriano Garsia" does not appear to correspond to any widely recognized figure or term. You might be referring to "Adriano Garcia," but without additional context, it is challenging to identify who or what you mean.
It seems you might be referring to Solomon Asch's famous experiments on conformity or perhaps the "Milgram experiment" conducted by Stanley Milgram. The Milgram experiment, conducted in the early 1960s, explored the conflict between obedience to authority and personal conscience.
Ben Green is a mathematician known for his work in number theory, particularly in the areas of additive combinatorics and the study of prime numbers. He is a professor at the University of Oxford and has made significant contributions to understanding the distribution of prime numbers and the structure of sets of integers. One of his notable achievements is his collaboration with Terence Tao, with whom he proved the Green-Tao theorem in 2004.

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 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.
  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