Naqshbandi Golden Chain Naqshbandi Golden Chain The Naqshbandi Golden Chain is a lineage of spiritual masters of the Naqshbandi Sufi order related to each other going back to the Islamic prophet Muhammad It is a chain in which each scholar was given "ijazah" or permission for dhikr of God by his own teacher or pir to transmit the knowledge he had received to the next generation of students in the traditional manner of Sufi transmission. The Golden Chain, as different from all other Sufi lineages, is unique in that it stems from the first Caliph, Abu Bakr. From Abu Bakr, the secret of
Fusion tree probability all chains have size , where is the number of hashed items. This chain size is small enough that a fusion tree can handle searches and updates within it in constant time per operation. Therefore, the time for all operations in the data structure is constant with high probability. More precisely, with this data structure, for every inverse-quasipolynomial probability , there is a constant such that the probability that there exists an operation that exceeds time is at most . Fusion tree In computer science, a fusion tree is a type of tree data structure that implements an associative