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"The Necklace", or sometimes "The Diamond Necklace", (French: La Parure) is a short story by Guy de Maupassant, first published on 17 February 1884 in the French newspaper Le Gaulois. [1] It is known for its twist ending , a hallmark of de Maupassant's style.
The necklace polynomials (,) and (,) appear as: The number of aperiodic necklaces (or equivalently Lyndon words ), which are cyclic arrangements of n colored beads having α available colors. Two such necklaces are considered equal if they are related by a rotation (not considering reflections).
Example of necklace splitting with k = 2 (i.e. two partners), and t = 2 (i.e. two types of beads, here 8 red and 6 green). A 2-split is shown: one partner receives the largest section, and the other receives the remaining two pieces. Necklace splitting is a picturesque name given to several related problems in combinatorics and measure theory.
In combinatorics, a k-ary necklace of length n is an equivalence class of n-character strings over an alphabet of size k, taking all rotations as equivalent. It represents a structure with n circularly connected beads which have k available colors.
Story structure or narrative structure is the recognizable or comprehensible way in which a narrative's different elements are unified, including in a particularly chosen order and sometimes specifically referring to the ordering of the plot: the narrative series of events, though this can vary based on culture.
The information specifies how many copies the necklace contains of each possible arrangement of black beads. For instance, for k = 2 {\displaystyle k=2} , the specified information gives the number of pairs of black beads that are separated by i {\displaystyle i} positions, for i = 0 , … , ⌊ n / 2 − 1 ⌋ {\displaystyle i=0,\dots ,\lfloor ...
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The story is written from the perspective of the narrator, who retells the Mother Savage story as told by his friend Serval. Influenced by Gustave Flaubert, Guy de Maupassant writes in the realist style which focuses on objective reality and "shows" instead of "tells".