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The above necklace-counting polynomials give the number necklaces made from all possible multisets of beads. Polya's pattern inventory polynomial refines the counting polynomial, using variable for each bead color, so that the coefficient of each monomial counts the number of necklaces on a given multiset of beads.
In combinatorial mathematics, the necklace polynomial, or Moreau's necklace-counting function, introduced by C. Moreau ( 1872 ), counts the number of distinct necklaces of n colored beads chosen out of α available colors, arranged in a cycle. Unlike the usual problem of graph coloring, the necklaces are assumed to be aperiodic (not consisting ...
The number of beads varies by religion or use. Islamic prayer beads, called Misbaha or Tasbih, usually have 100 beads (99 +1 = 100 beads in total or 33 beads read thrice and +1). Buddhists and Hindus use the Japa Mala, which usually has 108 beads, or 27 which are counted four times. Baháʼí prayer beads consist of either 95 beads or 19 beads ...
A japamala, jaap maala, or simply mala ( Sanskrit: माला; mālā, meaning ' garland ' [ 1]) is a loop of prayer beads commonly used in Indian religions such as Hinduism, Buddhism, Jainism and Sikhism. It is used for counting recitations ( japa) of mantras, prayers or other sacred phrases. It is also worn to ward off evil, to count ...
The Rosary [1] (/ ˈ r oʊ z ər i /; Latin: rosarium, in the sense of "crown of roses" or "garland of roses"), [2] also known as the Dominican Rosary [3] [4] (as distinct from other forms of rosary such as the Franciscan Crown, Bridgettine Rosary, Rosary of the Holy Wounds, etc.), refers to a set of prayers used primarily in the Catholic Church, and to the physical string of knots or beads ...
A misbaḥah is a tool that is used as an aid to perform dhikr, including the names of God in Islam, and after regular prayer. [ 1] It is often made of wooden or plastic beads, but also of olive seeds, ivory, pearls, and semi-precious stones such as carnelian, onyx, and amber . A typical misbahah consists of three groups of beads, separated by ...
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