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  2. Generating function - Wikipedia

    en.wikipedia.org/wiki/Generating_function

    A fan of order n is defined to be a graph on the vertices {0, 1, ..., n} with 2n − 1 edges connected according to the following rules: Vertex 0 is connected by a single edge to each of the other n vertices, and vertex is connected by a single edge to the next vertex k + 1 for all 1 ≤ k < n. [24]

  3. Characterizations of the exponential function - Wikipedia

    en.wikipedia.org/wiki/Characterizations_of_the...

    Walter Rudin called it "the most important function in mathematics". [1] It is therefore useful to have multiple ways to define (or characterize) it. Each of the characterizations below may be more or less useful depending on context. The "product limit" characterization of the exponential function was discovered by Leonhard Euler. [2]

  4. List of Dungeons & Dragons rulebooks - Wikipedia

    en.wikipedia.org/wiki/List_of_Dungeons_&_Dragons...

    The 5th edition's Basic Rules, a free PDF containing complete rules for play and a subset of the player and DM content from the core rulebooks, was released on July 3, 2014. [16] The basic rules have continued to be updated since then to incorporate errata for the corresponding portions of the Player's Handbook and combine the Player's Basic ...

  5. Exponential distribution - Wikipedia

    en.wikipedia.org/wiki/Exponential_distribution

    In probability theory and statistics, the exponential distribution or negative exponential distribution is the probability distribution of the distance between events in a Poisson point process, i.e., a process in which events occur continuously and independently at a constant average rate; the distance parameter could be any meaningful mono-dimensional measure of the process, such as time ...

  6. Xanathar's Guide to Everything - Wikipedia

    en.wikipedia.org/wiki/Xanathar's_Guide_to_Everything

    Viktor Coble listed Xanthar's Guide To Everything as #8 on CBR's 2021 "D&D: 10 Best Supplemental Handbooks" list, stating that "unlike a lot of the other books in 5e, it is a lot more versatile. Not only does it have the feeling of a campaign plot hook, but it also offers a lot of new subclasses, spells, and tools for new ways to play and ...

  7. Dungeons & Dragons Starter Set - Wikipedia

    en.wikipedia.org/wiki/Dungeons_&_Dragons_Starter_Set

    [1]: 97 In 1994, First Quest: The Introduction to Role-Playing Games was released. [2] [3] Then in 1995, this starter set was re-released with new artwork and re-titled as the Introduction to Advanced Dungeons & Dragons Game. [1]: 97 [4] The main difference in this new edition was that it included The Book of Lairs and did not include an audio CD.

  8. Moment-generating function - Wikipedia

    en.wikipedia.org/wiki/Moment-generating_function

    In probability theory and statistics, the moment-generating function of a real-valued random variable is an alternative specification of its probability distribution.Thus, it provides the basis of an alternative route to analytical results compared with working directly with probability density functions or cumulative distribution functions.

  9. Dungeon Master's Guide - Wikipedia

    en.wikipedia.org/wiki/Dungeon_Master's_Guide

    The Dungeon Master's Guide (DMG [1] or DM's Guide; in some printings, the Dungeon Masters Guide or Dungeon Master Guide) is a book of rules for the fantasy role-playing game Dungeons & Dragons. The Dungeon Master's Guide contains rules concerning the arbitration and administration of a game, and is intended for use by the game's Dungeon Master. [2]