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.
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").
"Col" is a minimalist strategy game designed by the company HyperCube, where players navigate a series of interconnected paths while trying to capture points on a grid-like board. The gameplay focuses on strategic movement and positioning while competing against other players or AI. The mechanics often involve simple rules that lead to complex strategies, making it accessible yet challenging. The game is known for its clean aesthetics and thoughtful design, appealing to fans of tactical board games and puzzle-solving.
"Clobber" can refer to different things depending on the context. Here are a few common interpretations: 1. **General Usage**: In informal English, "to clobber" means to hit someone hard or to defeat someone decisively. It can also imply overwhelming someone in a competition or argument. 2. **Programming**: In programming and computer science, "clobber" can refer to the act of overwriting existing data or variables, often unintentionally.
Chopsticks is a hand game typically played by two or more players. It's a game that involves using fingers to represent numbers, and it can be played with both strategy and skill. The objective is to eliminate all of your opponents' "fingers" (or hands) by touching them and using simple rules of movement and counting. ### Basic Rules: 1. **Starting Position**: Each player starts with one finger extended on each hand (usually two hands).
Chomp is a two-player mathematical strategy game played on a rectangular grid of squares, representing chocolate bars. The game mechanics are straightforward: players take turns selecting a square, and when a player picks a square, all squares to the right and below it are "chomped" or removed from the game. Here's how it works: 1. The game starts with a chocolate bar represented by a grid of squares.
Bulgarian solitaire is a mathematical game or card game-like puzzle that involves a rearrangement of a set of numbers. It can also be played with a pile of cards or chips. The game is played with a certain number of piles of items, which represent the numbers. Here’s how it typically works: 1. **Initial Setup**: Start with a collection of piles of various sizes. Each pile contains a certain number of items, and the total number of items is fixed.
The term "branching factor" typically refers to a concept in tree structures, search algorithms, and graph theory, and it describes the number of child nodes or successors that a given node can have. More specifically, in the context of search trees used in algorithms like depth-first search (DFS) or breadth-first search (BFS), the branching factor indicates how many options or paths are available at each step of the exploration.
Blockbusting is a term used in the context of video games, particularly in puzzle and arcade genres. The concept originated from a classic arcade game called "Breakout," which was developed by Atari in the 1970s. In a blockbusting game, the player typically controls a paddle or a similar object to bounce a ball and break bricks or blocks arranged in a specific pattern on the screen.
In game theory, a **solved game** is a game for which an optimal strategy is known for all players involved. This means that the outcome of the game can be perfectly predicted, given the strategies employed by the players. Solved games typically have a defined structure, including a finite number of positions or states, which allows for thorough analysis.
Positional games are a type of combinatorial game that involve two players competing to control positions or resources on a board or in a structured environment. These games are often defined by specific rules regarding how players can make moves and how they can claim or occupy spaces. In a typical positional game, players take turns making moves that affect the game state, with the primary objective of achieving a particular configuration or control over the board.
Partially solved games are games for which some knowledge about optimal strategies exists, but the game has not been completely solved. This means that while certain positions or states of the game may have been analyzed to the point of determining the best moves or strategies, not every possible position has been explored exhaustively.
Combinatorial game theory is a branch of mathematics and theoretical computer science that studies combinatorial games—games that have no element of chance and where the players take turns making moves. The focus is primarily on two-player games with perfect information, meaning that both players are fully aware of all previous moves and the state of the game at all times.
The Salvo combat model is a theoretical framework used to analyze and simulate combat situations, particularly in naval warfare. This model focuses on the exchange of volleys or "salvos" of weapon fire between opposing forces. It is particularly relevant in scenarios where large-scale engagements occur, such as battles involving fleets of warships or air forces.
Pursuit-evasion refers to a type of problem or scenario in which one party (the pursuer) attempts to catch or reach another party (the evader) that is trying to escape or avoid capture. This concept is common in various fields, including game theory, robotics, artificial intelligence, military strategy, and ecological studies. In formal terms, pursuit-evasion problems often involve mathematical modeling to analyze the strategies and dynamics between pursuers and evaders.
Professional wargaming refers to the use of structured tabletop games, simulations, or digital platforms to model and analyze military operations, strategies, or tactics for training, education, and decision-making purposes. These games are designed to replicate real-world military scenarios and can vary in complexity from simple board games to elaborate simulations involving advanced technology.
Lanchester's laws are mathematical principles that describe the dynamics of military engagements, focusing on how the strengths of opposing forces influence the outcome of battles. These laws were formulated by the British engineer Frederick W. Lanchester in the early 20th century.
A differential game is a type of mathematical game that involves multiple players (or agents) who make decisions over time, where the evolution of the system is described by differential equations. In these games, players aim to optimize their own objectives, taking into account the dynamics of the system and the strategies of other players. Differential games blend concepts from game theory and control theory. ### Key Features of Differential Games: 1. **Dynamic Systems**: The state of the game evolves over time according to differential equations.

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