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#SIMPLE MATH ALGORITHM EXAMPLE CODE#
#SIMPLE MATH ALGORITHM EXAMPLE SERIES#

Second, we need to know what is the relationship of Discrete Mathematics to Computer Science. What is Discrete Mathematics? We need to know that first. Let us start with Discrete Mathematics first. We can consider this book as a confluence of the three distinct topics, such as Discrete Mathematics, Algorithm and Data Structures. Each time a book is read, it is actually written again. Readers always reconstruct a book while reading, and they write it in a new way in their mind. We can compare this relationship, such as, a relation between the writer and readers. Keeping that fact in mind, we are writing a book which tries to discover the relations between three well known topics, and, moreover, how they influence each other. You will find many good books on Discrete Mathematics, you will find many good books on Algorithm and Data Structures, as well.

Challenge 3 : Can you show the difference between two types of permutation,where repetition is not allowed and allowed.Īs you know from the title, this book covers a wide range of three topics, in fact, too wide range of three topics, on which you will find books separately.

How many ways could you rearrange the String when repetition is allowed? Here repetition means, you can rearrange this way: bacd, cdba, dbac, etc.

Challenge 2 : Suppose you have a string “abcd”.Challenge 1 : How many ways we can rearrange 5 balls.Combinatorics and Counting, Permutation and Combinations

However, no duplicate element is allowed in the world of Set. Challenge 3 : In discrete mathematical paradigms, Set abstraction is basically chaotic, and unordered.Challenge 2 : Can you combine Symmetric Difference and Propositional Logic in one program? You can write it in any programming language.Challenge 1 : Why the Set implementation ‘HashSet’ is better than the general-purpose Set implementation ‘TreeSet’? Can you compare and prove that?.How Symmetric Difference and Propositional Logic combine.Why Set is important in Data Structures.Set, Symmetric Difference and Propositional Logic

#SIMPLE MATH ALGORITHM EXAMPLE CODE#

Challenge 3 : Detect the main problem in the code below and rewrite it in proper way.

#SIMPLE MATH ALGORITHM EXAMPLE SERIES#

Challenge 2 : How we can get the total of a series of positive integers that starts from 0 and ends at 5.

Write a program to establish a relationship between algorithms and discrete mathematics

Challenge 1 : Data structures are discrete structures and hence, the algorithms are all about discrete structures.

Challenge 6 : Can you create a general template class and method that will allow to pass any data of your choice.

Challenge 5 : Can you prove that Discrete Mathematics, data structure and algorithm are inter-connected?.

Write a program where we can proceed towards the base case and a condition to stop the recursion.

Challenge 4 : Recursive algorithm should have a base case.

Challenge 3 : Using recursion in programing is closer to our discrete mathematical definitions.

Challenge 2 : Can you prove with an example how the STL makes a difference when we want to sort a list of data.

Can you show the difference by writing code.

Challenge 1 : Standard Template Library (STL) provides many generic versions of standard algorithms that replace our low-level plumbing.

Discrete Mathematical Abstractions and Implementation through Java Collection.

Algorithm, Data Structure, Collection Framework and Standard Template Library (STL)

Challenge 4 : Can you give examples of hybrid linear data structure that provides all the capabilities of stacks and queues under one roof?.

Write a program and explain why it happens.

Challenge 3 : Why LinkedList consumes less memory than ArrayList.

Challenge 2 : Can you convert an array to a queue and use all the queue methods to manipulate that array?.

Challenge 1 : Can we test in a program whether the Stack has been overflowed or not?.

Deque, a high-performance Abstract Data Type.

Collection Framework in programming languages.

ArrayList or LinkedList, which is faster?.ArrayList to overcome limitations of Array.Frequently Asked Questions about Data Structures.How Calculus and Linear Algebra are Related to this Discourse.Data Structures: Abstractions and Implementation Array, the First Step to Data Structure.Data Structures in different Programming languages Discrete Mathematical Notations and Algorithm.Syntax, Semantics and Conditional Execution.De Morgan’s Laws on Boolean Algebra, Logical Expression, and Algorithm Logic, Mathematics, and Programming Language.Introduction to Programming Language and Boolean Algebra What is the relationship between Discrete Mathematics and Computer Science.A short Introduction to Discrete Mathematics.Is Discrete Mathematics enough to study Computer Science?.