Euclidean algorithm - PowerPoint PPT Presentation


Algorithm Analysis

Algorithm analysis involves evaluating the efficiency of algorithms through measures such as time and memory complexity. This analysis helps in comparing different algorithms, understanding how time scales with input size, and predicting performance as input size approaches infinity. Scaling analysi

1 views • 30 slides


Clinical Algorithm for Rash Evaluation

The clinical algorithm outlines the evaluation process for a patient presenting with a rash, focusing on the assessment for measles transmission. It covers key criteria, testing recommendations, and guidelines for suspected measles cases. Healthcare providers can utilize this algorithm to determine

0 views • 5 slides



Advanced Cardiovascular Life Support Algorithm

This advanced cardiovascular life support algorithm provides step-by-step guidance in managing cardiac emergencies such as cardiac arrest, arrhythmias, and other life-threatening conditions. The algorithm includes a series of slides detailing important procedures and interventions to improve patient

5 views • 9 slides


Understanding Booth's Algorithm for Binary Integer Division

Learn about Booth's Algorithm and how it facilitates binary integer division. Discover key points to remember when using the algorithm, steps to initiate the process, and a detailed example to illustrate the multiplication of two operands using Booth's Algorithm.

0 views • 42 slides


Understanding Hash Join Algorithm in Database Management Systems

In this lecture, Mohammad Hammoud explores the Hash Join algorithm, a fundamental concept in DBMS query optimization. The algorithm involves partitioning and probing phases, utilizing hash functions to efficiently join relations based on a common attribute. By understanding the intricacies of Hash J

1 views • 41 slides


Understanding Stable Matchings and the Gale-Shapley Algorithm

The concept of stable matchings is explored, along with the Gale-Shapley algorithm for finding them efficiently. Key ideas and steps of the algorithm are explained, supported by visuals. The process, examples, and observations related to the algorithm's effectiveness are discussed, highlighting the

1 views • 29 slides


Understanding Time Complexity in Algorithm Analysis

Explore the concept of time complexity in algorithm analysis, focusing on the efficiency of algorithms measured in terms of execution time and memory usage. Learn about different complexities such as constant time, linear, logarithmic, and exponential, as well as the importance of time complexity co

0 views • 73 slides


Ricart and Agrawala's Algorithm for Mutual Exclusion

The Ricart-Agrawala Algorithm is a distributed system algorithm for achieving mutual exclusion without the need for release messages, developed by Glenn Ricart and Ashok Agrawala. The algorithm involves processes sending timestamped requests to enter a critical section, with careful handling of repl

1 views • 16 slides


Understanding Algorithm Efficiency Analysis

In this chapter, Dr. Maram Bani Younes delves into the analysis of algorithm efficiency, focusing on aspects such as order of growth, best case scenarios, and empirical analysis of time efficiency. The dimensions of generality, simplicity, time efficiency, and space efficiency are explored, with a d

1 views • 28 slides


Understanding FP-Growth Algorithm for Association Analysis in Data Warehousing and Data Mining

FP-Growth algorithm is a powerful method for discovering frequent itemsets in data sets. It utilizes a compact data structure called an FP-tree to efficiently mine frequent patterns. By encoding data into an FP-tree representation, the algorithm can identify frequent itemsets directly from memory, m

6 views • 20 slides


Understanding Firefly Algorithm in Nature-Inspired Optimization

The Firefly Algorithm (FA) was developed by Xin-She Yang in 2007, inspired by fireflies' flashing behavior. It involves attractivity based on brightness, impacting optimization. By following set rules, fireflies move attractively towards brighter ones. Variations in light intensity and attractivenes

1 views • 32 slides


Understanding Linear Congruences and the Euclidean Algorithm in Number Theory

Exploring concepts of linear congruences using examples like finding times congruent to 2 o'clock and applying the Euclidean Algorithm to determine the greatest common divisor of 52 and 180. Learn about Bezout's Theorem for expressing GCD as a linear combination of the given numbers.

0 views • 26 slides


Understanding Lamport Algorithm for Mutual Exclusion

Lamport Algorithm, presented by Prafulla Santosh Patil, is a permission-based algorithm utilizing timestamps to order critical section requests and resolve conflicts. It employs three types of messages: REQUEST, REPLY, and RELEASE, where each site manages a queue to store requests. By ensuring commu

0 views • 15 slides


Understanding the Apriori Algorithm for Association Rule Mining

The Apriori algorithm is a popular method in data mining for finding frequent itemsets in a dataset. It involves steps like candidate generation, testing, and pruning to iteratively identify the most frequent itemset. By setting a minimum support threshold, the algorithm efficiently discovers patter

1 views • 12 slides


Digital Differential Analyzer (DDA) Algorithm in Computer Graphics

In computer graphics, the Digital Differential Analyzer (DDA) Algorithm is utilized as the basic line drawing algorithm. This method involves interpolation of variables between two endpoints to rasterize lines, triangles, and polygons efficiently. The algorithm requires inputting coordinates of two

0 views • 9 slides


Understanding Diffie-Hellman Key Exchange Algorithm

The Diffie-Hellman key exchange algorithm, a pioneering public-key cryptography method introduced by Diffie and Hellman in 1976, enables secure key exchange between two users to facilitate subsequent message encryption. The algorithm relies on the complexity of computing discrete logarithms and invo

0 views • 24 slides


Algorithm for Tree Crops CO2 Removal Potential

Algorithm for the Calculation of Tree Crops CO2 Removal Potential (LIFE14.CCM/GR/000635) focuses on efficiently determining the capacity of tree crops to remove CO2 from the atmosphere. This algorithm considers various factors such as the biological cycle of the tree, cultivation practices, and carb

1 views • 17 slides


Grey Wolf Optimizer: A Nature-Inspired Optimization Algorithm

The Grey Wolf Optimizer algorithm is based on the social hierarchy of grey wolves in the wild. Inspired by the pack behavior of grey wolves, this algorithm utilizes alpha, beta, and delta solutions to guide the optimization process. The hunting phases of tracking, pursuing, and attacking prey mimic

3 views • 16 slides


Emergency Paediatric Tracheostomy Management Algorithm

Emergency Paediatric Tracheostomy Management Algorithm provides a structured approach for managing pediatric patients requiring tracheostomy in emergency situations. The algorithm outlines steps for assessing airway patency, performing suction, and changing the tracheostomy tube if necessary. It emp

0 views • 4 slides


Development of Satellite Passive Microwave Snowfall Detection Algorithm

This study focuses on the development of a satellite passive microwave snowfall detection algorithm, highlighting the challenges in accurately determining snowfall using satellite instruments. The algorithm uses data from AMSU/MHS, ATMS, and SSMIS sensors to generate snowfall rate estimates, overcom

0 views • 20 slides


Understanding Spatial Extremes: Complex Time Methods in Hydro-Atmospheric Dynamics

This study explores the use of complex time methods and chameleon scalar fields in understanding and modeling spatial extremes in hydrological and atmospheric systems. By transforming Lagrangian processes and introducing chameleon scalar fields, the research unveils new insights into the mechanism g

0 views • 9 slides


Understanding Greatest Common Divisor and Euclidean Algorithm

Learn about the concept of greatest common divisors (GCD), how to compute them efficiently using the Euclidean Algorithm, the Quotient-Remainder Theorem, and the properties of common divisors. Explore examples and applications of GCD, extending to linear combinations, prime factorization, and other

0 views • 45 slides


Understanding Cryptography: Basic Concepts in Number Theory and Divisibility

This text delves into the fundamental concepts of number theory, divisibility, and finite fields essential for understanding cryptography. It covers topics such as divisibility, properties of divisibility, the division algorithm, the Euclidean algorithm for determining the greatest common divisor, a

0 views • 35 slides


Understanding Euclid's Algorithm: An Ancient Approach to Finding Greatest Common Divisors

Euclid's Algorithm, dating back 2500 years, offers a simpler method to find the greatest common divisor (gcd) of two non-negative integers compared to traditional factorization. By iteratively applying a rule based on the gcd of remainders, it efficiently computes gcd values. The basis of the algori

0 views • 15 slides


Cryptography and Number Theory Crash Course

Background on the use of number theory in constructing key exchange protocols, digital signatures, and public-key encryption. Covers notation, modular arithmetic, greatest common divisor, modular inversion, invertible elements, and solving modular linear equations efficiently using the extended Eucl

0 views • 45 slides


GPU Accelerated Algorithm for 3D Delaunay Triangulation

Thanh-Tung Cao, Todd Mingcen Gao, Tiow-Seng Tan, and Ashwin Nanjappa from the National University of Singapore's Bioinformatics Institute present a GPU-accelerated algorithm for 3D Delaunay triangulation. Their work explores the background, related works, algorithm implementation, and results of thi

0 views • 24 slides


Cuckoo Search: A Nature-Inspired Optimization Algorithm

Cuckoo Search (CS) algorithm, developed in 2009, mimics the brood parasitism of cuckoo species and utilizes Lévy flights for efficient optimization. This algorithm has shown promise in outperforming other traditional methods like PSO and genetic algorithms. The behavior of cuckoos in laying eggs an

0 views • 25 slides


Ford-Fulkerson Algorithm for Maximum Flow in Networks

The Ford-Fulkerson algorithm is used to find the maximum flow in a network by iteratively pushing flow along paths and updating residual capacities until no more augmenting paths are found. This algorithm is crucial for solving flow network problems, such as finding min-cuts and max-flow. By modelin

0 views • 26 slides


3GPP Voting Rights Algorithm: Contiguous-3 Solution Evaluation

This evaluation delves into the advantages and disadvantages of the 3 Contiguous-3 solution within the 3GPP voting rights algorithm. It explores scenarios to test the algorithm's effectiveness in granting and revoking voting rights based on meeting attendance types. The evaluation includes diverse h

0 views • 10 slides


Introduction to Algorithm Analysis and Complexity in Computer Science

Algorithm analysis is crucial in determining the efficiency of programs by analyzing resource usage such as time and space. This involves comparing programs, understanding data structures, and evaluating algorithm performance. Efficiency is key as program execution time depends on various factors be

0 views • 66 slides


Bresenham Line Drawing Algorithm Explained with Examples

Bresenham Line Drawing Algorithm is a method used to generate points between starting and ending coordinates to draw lines efficiently. This algorithm involves calculating parameters, decision parameters, and iteratively finding points along the line. Two example problems are provided with step-by-s

0 views • 8 slides


Algorithm Strategies: Greedy Algorithms and the Coin-changing Problem

This topic delves into general algorithm strategies, focusing on the concept of greedy algorithms where locally optimal choices are made with the hope of finding a globally optimal solution. The discussion includes the nature of greedy algorithms, examples such as Dijkstra's algorithm and Prim's alg

0 views • 91 slides


Stable Matching Problem and Gale-Shapley Algorithm Overview

The content provides information on the stable matching problem and the Gale-Shapley algorithm. It covers the definition of stable matching, the workings of the Gale-Shapley algorithm, tips for algorithm implementation, and common questions related to the topic. The content also includes a summary o

0 views • 16 slides


Understanding Different Geometries and Parallel Postulates

Explore the realms of Euclidean, Hyperbolic, and Elliptic geometries along with their unique characteristics, axioms, and the implications of the parallel postulates. Delve into the distinctions between these geometries and the intriguing concept of mixing Euclidean and Hyperbolic geometries within

0 views • 6 slides


Understanding Euclidean Geometry and the Pythagorean Theorem

Explore the foundations of Euclidean Geometry, delve into the Pythagorean Theorem, discover the postulates of Euclid, and learn about distance functions, Euclidean distance, taxi-cab metric, circles, and isometries and congruence. Unravel the rich history, key principles, and practical applications

0 views • 37 slides


Understanding Vectors, Matrices, and Rotations in Euclidean Space

Explore the fundamentals of vectors, matrices, rotations, and coordinate transformations in Euclidean space. Learn about points, tensors, and the significance of vectors in representing physical quantities. Discover the Parallelogram Law and Coordinate Frames for effective visualization and computat

0 views • 46 slides


Understanding Deutsch's Algorithm in Quantum Computing

Deutsch's Algorithm is a fundamental quantum algorithm designed to solve the problem of determining if a given function is constant or balanced. This algorithm leverages quantum principles such as superposition and entanglement to provide a more efficient solution compared to classical methods. By e

0 views • 17 slides


Algorithm for Determining Endpoints in Speech Recognition

This article discusses an algorithm proposed by L.R. Rabiner and M.R. Sambur in 1975 for determining endpoints in isolated utterances. The algorithm focuses on detecting word boundaries in speech through the recognition of silence, which can lead to reduced processing load and increased convenience,

0 views • 22 slides


Quantum Mechanics and Geometric Interpretations in Weyl Space

The discussion explores Weyl quantum mechanics, Bohm's interpretation of quantum potential, and geometric formulations in Euclidean-Weyl space. It delves into the implications of nonlocal quantum potentials and the nature of metric spaces in shaping quantum phenomena. Concluding with alternative vie

0 views • 30 slides


Time-space Tradeoffs and Optimizations in BKW Algorithm

Time-space tradeoffs and optimizations play a crucial role in the BKW algorithm, particularly in scenarios like learning parity with noise (LPN) and BKW algorithm iterations. The non-heuristic approach in addressing these tradeoffs is discussed in relation to the hardness of the LPN problem and the

0 views • 14 slides