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These include whether a specially marked die (called the Mayhem die) has rolled highest, the lowest number rolled, and whether any two dice show the same number. One other commonly used variant of the 6-sided dice roll is the d3, which is a 6-sided die roll, with the result divided by 2. The average result is 2, and the standard deviation is 0.816.
D&D Beyond (DDB) is the official digital toolset and game companion for Dungeons & Dragons fifth edition. DDB hosts online versions of the official Dungeons & Dragons fifth edition books, including rulebooks, adventures, and other supplements; it also provides digital tools like a character builder and digital character sheet, monster and spell listings that can be sorted and filtered, an ...
Character sheet. A character sheet is a record of a player character in a role-playing game, including whatever details, notes, game statistics, and background information a player would need during a play session. Character sheets can be found in use in both traditional and action role-playing games. Almost all role-playing games make use of ...
An attribute is a piece of data (a "statistic") that describes to what extent a fictional character in a role-playing game possesses a specific natural, in-born characteristic common to all characters in the game. That piece of data is usually an abstract number or, in some cases, a set of dice. Some games use different terms to refer to an ...
Probability generating functions obey all the rules of power series with non-negative coefficients. In particular, G (1 ā) = 1, where G (1 ā) = lim zā1G ( z) from below, since the probabilities must sum to one. So the radius of convergence of any probability generating function must be at least 1, by Abel's theorem for power series with ...
Health is a video game or tabletop game quality that determines the maximum amount of damage or fatigue something takes before leaving the main game. In role-playing games, this typically takes the form of hit points ( HP ), a numerical attribute representing the health of a character or object. [1] [2] The game character can be a player ...
A 2023 update includes "upgraded world generation with various new land forms, a geologic activity system, and large scale mountain regions" [54] World of Warcraft: Shadowlands. 2020. Blizzard Entertainment. Torghast, a dungeon with procedurally-generated enemy spawns. [55] Microsoft Minesweeper. 1990.
Xorshift random number generators, also called shift-register generators, are a class of pseudorandom number generators that were invented by George Marsaglia. [1] They are a subset of linear-feedback shift registers (LFSRs) which allow a particularly efficient implementation in software without the excessive use of sparse polynomials. [2]