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DOUBLY LOGARITHMIC-TREE

  • Doubly logarithmic tree
  • Concept in computer science

    In computer science, a doubly logarithmic tree is a tree where each internal node of height 1, the tree layer above the leaves, has two children, and each

    Doubly logarithmic tree

    Doubly logarithmic tree

    Doubly_logarithmic_tree

  • Tree structure
  • Way of representing the hierarchical nature of a structure in a graphical form

    Computer science: binary search tree red–black tree AVL tree R-tree doubly logarithmic tree Biology: evolutionary tree Business: pyramid selling scheme

    Tree structure

    Tree structure

    Tree_structure

  • All nearest smaller values
  • Machine. For a sequence of n values, stored as an array, they use a doubly logarithmic tree to show that the problem may be solved in time O(log log n) using

    All nearest smaller values

    All_nearest_smaller_values

  • Prefix hash tree
  • prefix hash tree uses the lookup interface of a DHT to construct a trie-based data structure that is both efficient (updates are doubly logarithmic in the

    Prefix hash tree

    Prefix_hash_tree

  • Cartesian tree
  • Binary tree derived from a sequence of numbers

     88–94 Berkman, Omer; Schieber, Baruch; Vishkin, Uzi (1993), "Optimal doubly logarithmic parallel algorithms based on finding all nearest smaller values",

    Cartesian tree

    Cartesian tree

    Cartesian_tree

  • Linked list
  • Data structure with nodes pointing to the next node

    involves a list of trees with special properties; this allows worst-case constant time head/cons operations, and worst-case logarithmic time random access

    Linked list

    Linked_list

  • Time complexity
  • Estimate of time taken for running an algorithm

    of T {\displaystyle T} . Algorithms taking logarithmic time are commonly found in operations on binary trees or when using binary search. An O ( log ⁡

    Time complexity

    Time complexity

    Time_complexity

  • Skip graph
  • Kind of distributed data structure

    Tapestry (DHT), including addition and deletion in expected logarithmic time, logarithmic space per resource to store indexing information, no required

    Skip graph

    Skip_graph

  • Factorial
  • Product of numbers from 1 to n

    in the factorial that are divisible by p. The digamma function is the logarithmic derivative of the gamma function. Just as the gamma function provides

    Factorial

    Factorial

  • Queap
  • in the doubly linked list, until a deletion would remove one of the list items, at which point they are all moved into the 2–4 tree. The 2–4 tree stores

    Queap

    Queap

    Queap

  • Treewidth
  • Number denoting a graph's closeness to a tree

    how far the graph is from being a tree. The smallest treewidth is 1; the graphs with treewidth 1 are exactly the trees and the forests. An example of graphs

    Treewidth

    Treewidth

  • List (abstract data type)
  • Finite, ordered collection of items

    right-most child's index, used to guide the search), taking the time logarithmic in the list's size, but as long as it doesn't change much will provide

    List (abstract data type)

    List_(abstract_data_type)

  • X-fast trie
  • Data structure for storing integers from a bounded domain

    leaf stores a pointer to its predecessor and successor, thereby forming a doubly linked list. Finally, there is a hash table for each level that contains

    X-fast trie

    X-fast_trie

  • Fringe search
  • Graph search algorithm

    constant compared to the worst-case logarithmic time of sorting the list in A*. Implementing both lists in one doubly linked list, where nodes that precede

    Fringe search

    Fringe_search

  • Stack (abstract data type)
  • Abstract data type

    . Berkman, Omer; Schieber, Baruch; Vishkin, Uzi (1993). "Optimal doubly logarithmic parallel algorithms based on finding all nearest smaller values".

    Stack (abstract data type)

    Stack (abstract data type)

    Stack_(abstract_data_type)

  • Bucket queue
  • Data structure for integer priorities

    array A of container data structures; in most sources these containers are doubly linked lists but they could alternatively be dynamic arrays or dynamic sets

    Bucket queue

    Bucket queue

    Bucket_queue

  • Strict Fibonacci heap
  • Optimal data structure for priority queues

    only active nodes with loss zero is a binomial tree. In addition, several invariants which impose logarithmic bounds on three main quantities: the number

    Strict Fibonacci heap

    Strict_Fibonacci_heap

  • Milky Way
  • Galaxy containing the Solar System

    and there is currently no consensus on the nature of its arms. Perfect logarithmic spiral patterns only crudely describe features near the Sun, because

    Milky Way

    Milky Way

    Milky_Way

  • Queue number
  • Invariant in graph theory

    planar 3-trees appeared from this evidence to have unbounded queue number. However, the queue number was subsequently shown to be bounded by a (doubly exponential)

    Queue number

    Queue number

    Queue_number

  • Fibonacci heap
  • Data structure for priority queue operations

    allow fast deletion and concatenation, the roots of all trees are linked using a circular doubly linked list. The children of each node are also linked

    Fibonacci heap

    Fibonacci_heap

  • Point process
  • Random set of points on a space with random number and random position

    {\displaystyle N} outside B δ ( x ) {\displaystyle B_{\delta }(x)} . The logarithmic likelihood of a parameterized simple point process conditional upon some

    Point process

    Point_process

  • List of statistics articles
  • Poisson regression Log-log plot Log-logistic distribution Logarithmic distribution Logarithmic mean Logistic distribution Logistic function Logistic regression

    List of statistics articles

    List_of_statistics_articles

  • Anatol Slissenko
  • Soviet, Russian and French mathematician

    "Approximating shortest path for the skew lines problem in time doubly logarithmic in 1/epsilon". Theoretical Computer Science. 315 (2–3): 371–404. Beauquier

    Anatol Slissenko

    Anatol Slissenko

    Anatol_Slissenko

  • Twin-width
  • The twin-width is at most exponential in the clique-width, and at most doubly exponential in the rank-width. These graphs include, for instance, the distance-hereditary

    Twin-width

    Twin-width

    Twin-width

  • Supergravity
  • Modern theory of gravitation that combines supersymmetry and general relativity

    some 10-dimensional supergravity theories. These arise as the massless, tree-level approximation of string theories. True effective field theories of

    Supergravity

    Supergravity

    Supergravity

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