PPT-5.9 Heaps of optimal complexity

510 Doubleended heap structures and multidimensional heaps 511 Heaprelated structures with constant time updates AlShahrani Hasan Heaps of optimal complexity Optimal deletemin in Olog n . Defining sustainable development. Sustainability : Defining sustainable development in broader terms. Sustainability Science: Criticisms of current approaches. Complexity and complex adaptive systems. English Language Arts Common Core State Standards. Illinois State Board of Education . English Language Arts Content Specialists. Hosted by Erik Iwersen, June, 2012. . Text Complexity. . “. The Common Core Standards hinge on students encountering appropriately complex texts at each grade level in order to develop the mature language skills and the conceptual knowledge they need for success in school and life. and . Hierarchy. Concept of Complexity. “whole is more than the sum of its parts”. Holism. new properties not found in subsystems. “mechanistic explanations of emergence rejected”. Weaker view of emergence. (as told by Michael Lynch). Genome size and complexity varies across the tree of life. Lynch 2007. Some Big Questions. What is the relationship between genomic and organismal size/complexity?. Are genome size changes adaptive, or passively acquired?. Why don’t languages evolve toward efficiency?. “As they evolve, things become more efficient.”. Efficient operations, tools, methods, etc. should drive out those that are difficult and costly.. &. The KY Core Academic Standards for ELA and Literacy in History/Social Studies, Science & Technical Subjects. Included within the . Standards . is an enhanced focus on . text complexity. .. Data . Structures. Self-Adjusting. Data . Structures. 2. Lists. [D.D. . Sleator. , R.E. . Tarjan. , . Amortized Efficiency of List Update Rules. , Proc. 16. th. Annual ACM Symposium on Theory of Computing, 488-492, 1984]. A heap is a binary tree.. A heap is best implemented in sequential representation (using an array).. Two important uses of heaps are: . (i) efficient implementation of priority queues. (ii) sorting -- Heapsort.. Adaptive management in a volatile and complex world. Dr Jean Boulton. Visiting Senior Research Fellow, DSPS, University of Bath. Visiting Fellow, . Cranfield. School of Management. Director, Claremont Management Consultants Ltd. Advisor : Prof. Surender Baswana. - Shivam Taji. UGP Workflow. Attempted solving complex range query problems using Augmented Binary Trees. A Data Structure for Dynamic Trees. Analysis of Splay Trees. Keith Dalbey, Ph.D.. Sandia National Labs, Dept 1441, Optimization and Uncertainty Quantification. Michael Levy, Ph.D.. Sandia National Labs, Dept 1442, Numerical Analysis and Applications. Sandia is a multiprogram laboratory operated by Sandia Corporation, a Lockheed Martin Company, for the United States Department of Energy’s National Nuclear Security Administration under Contract DE-AC04-94AL85000.. Toniann. . Pitassi. University of Toronto. 2-Party Communication Complexity. [Yao]. 2-party communication: . each party has a dataset. . Goal . is to compute a function f(D. A. ,D. B. ). m. 1. m. 2. A binary min-heap allows the operations of push and pop to occur . in an average case of . Q. (1). and . Q. (. ln. (. n. )). time, respectively. Merging two binary min-heaps, however, is an . Q. (. Lijie. Chen. MIT. Today’s Topic. Background. . What is Fine-Grained Complexity?. The Methodology of Fine-Grained Complexity. Frontier: Fine-Grained Hardness for Approximation Problems. The Connection.