- published: 19 Mar 2013
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In mathematics, big O notation describes the limiting behavior of a function when the argument tends towards a particular value or infinity, usually in terms of simpler functions. It is a member of a larger family of notations that is called Landau notation, Bachmann–Landau notation (after Edmund Landau and Paul Bachmann), or asymptotic notation. In computer science, big O notation is used to classify algorithms by how they respond (e.g., in their processing time or working space requirements) to changes in input size. In analytic number theory, it is used to estimate the "error committed" while replacing the asymptotic size, or asymptotic mean size, of an arithmetical function, by the value, or mean value, it takes at a large finite argument. A famous example is the problem of estimating the remainder term in the prime number theorem.
Big O notation characterizes functions according to their growth rates: different functions with the same growth rate may be represented using the same O notation.
Get the Code Here: http://goo.gl/Y3UTH Welcome to my Big O Notations tutorial. Big O notations are used to measure how well a computer algorithm scales as the amount of data involved increases. It isn't however always a measure of speed as you'll see. This is a rough overview of Big O and I hope to simplify it rather than get into all of the complexity. I'll specifically cover the following O(1), O(N), O(N^2), O(log N) and O(N log N). Between the video and code below I hope everything is completely understandable.
Solutions to three typical test or exam questions. Sometimes called big oh notation. See my other videos https://www.youtube.com/channel/UCmtelDcX6c-xSTyX6btx0Cw/.
In this video big-oh, big-omega and theta are discussed
This video is about Big O Notation: A Few Examples Time complexity is commonly estimated by counting the number of elementary operations (elementary operation = an operation that takes a fixed amount of time to preform) performed in the algorithm. Time complexity is classified by the nature of the function T(n). O represents the function, and (n) represents the number of elements to be acted on. Worst-case time complexity, the longest it could possibly take with any valid input, is the most common way to express time complexity. When you discuss Big-O notation, that is generally referring to the worst case scenario. For example, if we have to search two lists for common entries, we will calculate as if both entries would be at the very end of each list, just to be safe that we don't un...
Data Structures and Algorithms 1.2 - Big Oh notation, Running times.
I explain Big O notation and its importance Check out my website and like or comment any other tutorials you would like to see! www.applejuicescholars.com
http://xoax.net/ Lesson Page: http://xoax.net/comp_sci/crs/algorithms/lessons/Lesson6/ For this algorithms video lesson, we explain and demonstrate the main asymptotic bounds associated with measuring algorithm performance: big O, big omega, and big theta. in algorithm analysis, we are more with how an algorithm scales than the exact time of execution. This is sometimes referred to as complexity analysis. Please submit all questions to our forum: http://xoax.net/forum/ Copyright 2010 XoaX.net LLC
This video is part of an online course, Intro to Theoretical Computer Science. Check out the course here: https://www.udacity.com/course/cs313.