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Big Lab 12

Discrete Mathematics Algorithms and Complexity - explains using Enumeration, Paragraph

math 224 – discrete mathematics describing an algorithm – sorting an array 0..n-1 informal description of selection sort formal description explains using enumeration, paragraph, pseudocode

Discrete Mathematics explains using Enumeration, Paragraph, Pseudocode

math 224 – discrete mathematics describing an algorithm – insertion sort array 0.. n-1 pseudo-code explains using enumeration, paragraph, pseudocode

explains using enumeration, paragraph, pseudocode

Discrete Mathematics Exponentiation aP Incremental version explains using psudocode,

Discrete Mathematics Exponentiation aP Divide-and-Conquerversion (using recursion) explains using Paragraph, and Pseudocode,

math 224 – discrete mathematics exponentiation ap the program (run time) stack explains using paragraph, pseudocode,

math 224 – discrete mathematics explains using paragraph, pseudocode

math 224 – discrete mathematics asymptotic growth of functions explains using paragraph, pseudocode

math 224 – discrete mathematics explains using enumeration, paragraph

Discrete Mathematics Polynomial Functions explains using Line graph

Discrete Mathematics Log Function explains using Line graph

math 224 – discrete mathematics evaluating algorithms and complexity explains using enumeration, paragraph

Discrete Mathematics Searching an Array explains using Paragraph, Array operation diagram

math 224 – discrete mathematics linear search of an array explains using , paragraph,

math 224 – discrete mathematics binary search of an array explains using enumeration, paragraph,

math 224 – discrete mathematics explains using paragraph

math 224 – discrete mathematics types of complexity explains using enumeration, paragraph

discrete mathematics worst-case and big-o explains using enumeration, paragraph

math 224 – discrete mathematics complexity of selection sort explains using paragraph, pseudocode

Discrete Mathematics Complexity of Selection Sort explains using Paragraph, Pseudocode, and equation

chapter 2 algorithm analysis explains using enumeration, paragraph

note: a program is written in some programming language, and does not have to be finite (e.g. an operation system). explains using enumeration, paragraph

şi what to analyze • assumptions: explains using enumeration, paragraph

şi what to analyze matrix addition (example) explains using paragraph, pseudocode

What to Analyze explains using Paragraph, Pseudocode

şi what to analyze explains using , paragraph, , diagram, drawing

§2 asymptotic notation explains using paragraph, , diagram, photograph, drawing

$2 asymptotic notation (definition] and n, such that t(n) <c f(n) for all n> ng. t (n) = 0(f (n)) if there are positive constants c %3d note: explains using enumeration, paragraph, pseudocode

Asymptotic Notation explains using Enumeration, Paragraph

$2 asymptotic notation explains using paragraph,

$2 asymptotic notation explains using paragraph, pseudocode,

Asymptotic Notation explains using Paragraph, Pseudocode

General Rules explains using Enumeration, and drawings

$2 asymptotic notation e recursions: explains using , enumeration, paragraph, pseudocode

data structure explains using paragraph

The definition of Algorithm explains using Enumeration, and Paragraph,

Selection Sort explains using Enumeration, Paragraph

selection sort algorithm explains using enumeration, paragraph, pseudocode

C++ Implementation of Selection explains using Pseudocode,

1.7.1 performance analysis explains using enumeration, paragraph

1.7.1.1 space complexity explains using enumeration, paragraph

• program 1.16 float abc(float a, float b, float c) explains using enumeration, paragraph, pseudocode

Program for float sum explains using Enumeration, and Pseudocode

• program 1.18 explains using enumeration, paragraph, pseudocode

Time Complexity explains using Enumeration, Paragraph

Asymptotic Notation explains using Enumeration, Paragraph

Definition explains using Enumeration, Paragraph, Pseudocode

Definition [Big “oh"] explains using Enumeration, and equations

note explains using enumeration, paragraph

theorem 1.2 explains using paragraph

definition [omega] explains using enumeration, paragraph

Definition explains using Enumeration, Paragraph, Equations

Definition explains using Enumeration, Paragraph, Equations

Definition [Theta] explains using Enumeration, and equation

asymptotic analysis explains using enumeration, paragraph

a simple example program 1.17 explains using enumeration, paragraph, pseudocode

an recursive example explains using paragraph, pseudocode

An example of Binary Search explains using two bullet points

idea explains using enumeration, paragraph

Iterative Binary Search explains using Pseudocode

performance analysis of iterative binary search explains using enumeration, paragraph

performance analysis of iterative binary search explains using enumeration, paragraph

Recursive Binary Search explains using Paragraph, Pseudocode

performance analysis of recursive binary search explains using enumeration, paragraph

performance analysis of iterative binary search explains using enumeration, paragraph

Title slide of performance analysis in Data Structures.

fundamental concepts explains using enumeration, paragraph

performance analysis explains using enumeration, paragraph

performance analysis explains using enumeration, paragraph

space complexity explains using enumeration, paragraph

space complexity: example explains using enumeration, paragraph, pseudocode

space complexity: example 1. algorithm sum(a[], n) explains using paragraph, pseudocode

Space Complexity example explains using Enumeration

Time Complexity explains using Enumeration, Paragraph

Time Complexity explains using Enumeration

time complexity explains using enumeration, paragraph

Time Complexity explains using Paragraph, Pseudocode, Table

time complexity: example 2 statements explains using enumeration, paragraph, pseudocode,

Performance Measurement explains using Enumeration and equation

big o notation explains using enumeration, paragraph

Big O Notation explains using Line graph

Linear scale explains using line graph

Logarithmic Scale explains using Paragraph,Line graph

explains using paragraph, pseudocode,

Big O Notation explains using Enumeration, equation

Some Results explains using Paragraph,Equations

Title page of Introduction to Analysis of Algorithms

introduction to analysis of algorithms/slide 2 introduction explains using enumeration, paragraph, pseudocode

Introduction to Analysis of Algorithms explains using Enumeration

Analysis of Algorithms example of Selection Problem explained using Enumeration

introduction to analysis of algorithms /slide 5 example: selection problem... explains using enumeration, paragraph

introduction to analysis of algorithms /slide 6 example: selection problem... explains using enumeration, paragraph

introduction to analysis of algorithms/slide 7 algorithm analysis explains using paragraph

Analysis of Algorithms explains using Enumeration, Paragraph, Pseudocode

introduction to analysis of algorithms/slide 9 worst- / average- / best-case explains using enumeration, paragraph

Running-time of algorithms explains using Paragraph, Pseudocode

introduction to analysis of algorithms/slide 11 explains using paragraph

introduction to analysis.of algorithms/slide 12 algorithm? algorithm? explains using paragraph