Discrete Mathematics

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Questions and Answers

What is the weightage of UNIT-1 Sets, Relation & Functions?

  • 5%
  • 11% (correct)
  • 20%
  • 15%

Which concept characterizes relations such as brother and sister, father and son?

  • POSets and equivalence sets
  • Cartesian product of sets
  • Composition of relations
  • n-tuples (correct)

What is the matrix representation of relations used for?

  • Representing relations in a structured format (correct)
  • Database and Relations
  • Closures of relations
  • Cantor‘s diagonal argument

What is the focus of Cantor‘s diagonal argument?

<p>The Power set theorem (C)</p> Signup and view all the answers

What theorem deals with the equivalence of the cardinalities of sets?

<p>Schroder-Bernstein Theorem (D)</p> Signup and view all the answers

What is an algorithm?

<p>A set of instructions to solve a class of problems or perform a computation (B)</p> Signup and view all the answers

What forms Information?

<p>Arranged data in an appropriate sequence (B)</p> Signup and view all the answers

What are the two components of Information?

<p>Data and Structure (B)</p> Signup and view all the answers

What is the importance of Data Structures and Algorithms in Computer Science?

<p>Central to the development of good quality computer programs (A)</p> Signup and view all the answers

What is the relationship between Program, Algorithm, and Data Structure?

<p>Program = Algorithm + Data Structure (B)</p> Signup and view all the answers

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Study Notes

Sets, Relations, Functions

  • No information on weightage is provided.
  • The concept of family relations characterizes relationships like brother-sister, father-son.
  • The matrix representation of relations is used to visualize and analyze relationships between elements.
  • Cantor's diagonal argument focuses on demonstrating the uncountability of real numbers.
  • The Schroeder-Bernstein Theorem is a fundamental theorem that deals with establishing the equivalence of cardinalities of sets.

Algorithms

  • An algorithm is a set of well-defined instructions that describes a solution to a problem.

Information

  • Information is organized data that is meaningful and relevant to a context.
  • Data and context are the two components of information.

Data Structures and Algorithms

  • Data structures are how data is organized, while algorithms are how data is processed.
  • They are fundamental building blocks in computer science.

Program - Algorithm - Data Structure

  • An algorithm provides a blueprint for a program.
  • A data structure stores and organizes the data that the algorithm operates on.
  • A program is the actual implementation of the algorithm, using a specific programming language.

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