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Anagrams (also published under names including Anagram, Snatch and Word Making and Taking) is a tile-based word game that involves rearranging letter tiles to form words. The game pieces are a set of tiles with letters on one side.
More generally, the solution set to an arbitrary collection E of relations (E i) (i varying in some index set I) for a collection of unknowns (), supposed to take values in respective spaces (), is the set S of all solutions to the relations E, where a solution () is a family of values (()) such that substituting () by () in the collection E makes all relations "true".
The solution, stationer, is an anagram of into tears, the letters of which have burst out of their original arrangement to form the name of a type of businessman. Numerous other games and contests involve some element of anagram formation as a basic skill. Some examples: In Anagrams, players flip tiles over one at a time and race to take words ...
Figure 1 shows several example sequences and the corresponding 1-gram, 2-gram and 3-gram sequences. Here are further examples; these are word-level 3-grams and 4-grams (and counts of the number of times they appeared) from the Google n-gram corpus. [4] 3-grams ceramics collectables collectibles (55) ceramics collectables fine (130)
An anagram of a word having some repeated letters is an example of a multiset permutation. [ d ] If the multiplicities of the elements of M (taken in some order) are m 1 {\displaystyle m_{1}} , m 2 {\displaystyle m_{2}} , ..., m l {\displaystyle m_{l}} and their sum (that is, the size of M ) is n , then the number of multiset permutations of M ...
For example, in the UPenn CIS 194 course on Haskell, the first assignment page [26] lists the optimal solution for the 15-disk and 4-peg case as 129 steps, which is obtained for the above value of k. This algorithm is presumed to be optimal for any number of pegs; its number of moves is 2 Θ ( n 1/( r −2) ) (for fixed r ).
The first such anagram dictionary was The Crossword Anagram Dictionary by R.J. Edwards [1] In the other kind of anagram dictionary, words are categorized into equivalence classes that consist of words with the same number of each kind of letter. Thus words will only appear when other words can be made from the same letters.
Disjoint-set data structures [9] and partition refinement [10] are two techniques in computer science for efficiently maintaining partitions of a set subject to, respectively, union operations that merge two sets or refinement operations that split one set into two. A disjoint union may mean one of two things.