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Practical Discrete Mathematics

Practical Discrete Mathematics

By : Ryan T. White, Ray
4.6 (17)
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Practical Discrete Mathematics

Practical Discrete Mathematics

4.6 (17)
By: Ryan T. White, Ray

Overview of this book

Discrete mathematics deals with studying countable, distinct elements, and its principles are widely used in building algorithms for computer science and data science. The knowledge of discrete math concepts will help you understand the algorithms, binary, and general mathematics that sit at the core of data-driven tasks. Practical Discrete Mathematics is a comprehensive introduction for those who are new to the mathematics of countable objects. This book will help you get up to speed with using discrete math principles to take your computer science skills to a more advanced level. As you learn the language of discrete mathematics, you’ll also cover methods crucial to studying and describing computer science and machine learning objects and algorithms. The chapters that follow will guide you through how memory and CPUs work. In addition to this, you’ll understand how to analyze data for useful patterns, before finally exploring how to apply math concepts in network routing, web searching, and data science. By the end of this book, you’ll have a deeper understanding of discrete math and its applications in computer science, and be ready to work on real-world algorithm development and machine learning.
Table of Contents (17 chapters)
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1
Part I – Basic Concepts of Discrete Math
7
Part II – Implementing Discrete Mathematics in Data and Computer Science
12
Part III – Real-World Applications of Discrete Mathematics

Complexity of common search algorithms

Searching is a technique of selecting a certain portion of a dataset based on a certain set criterion. We use search algorithms in our day-to-day life when we search for something on the web that meets a certain word or phrase of our choice. Hence, to be able to search a data structure for required data is crucial in developing different kinds of applications.

In this section, we will discuss two search algorithms that are used in Python:

  • Linear search algorithm
  • Binary search algorithm

Linear search algorithm

This is the simplest kind of search algorithm to a sequential search problem. It simply checks the items in sequence until the desired item is found. This kind of search algorithm has already been illustrated using Example 2 (where we calculate the execution time of an algorithm). Let's look at a similar example to reinforce it, but this time we will write a function to carry out the linear search.

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