Practice Injective Mapping and Uncountability - 8.5 | 8. Uncomputable Functions | Discrete Mathematics - Vol 2
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

Practice Questions

Test your understanding with targeted questions related to the topic.

Question 1

Easy

What is a computable function?

💡 Hint: Think about programs that can calculate values.

Question 2

Easy

Define an uncomputable function.

💡 Hint: Consider limitations of programming.

Practice 4 more questions and get performance evaluation

Interactive Quizzes

Engage in quick quizzes to reinforce what you've learned and check your comprehension.

Question 1

What characterizes a computable function?

  • Can be computed by a program
  • Cannot be computed
  • Requires infinite resources

💡 Hint: Remember the definition of computable functions.

Question 2

True or False: All functions are computable.

  • True
  • False

💡 Hint: Think about the Halting problem and similar examples.

Solve 2 more questions and get performance evaluation

Challenge Problems

Push your limits with challenges.

Question 1

Establish a proof demonstrating why the Halting problem is an example of an uncomputable function.

💡 Hint: Consider creating a scenario where P evaluates itself and analyze the outcome.

Question 2

Create an injective function for a different set, like integers to letters, and prove its injectivity.

💡 Hint: Ensure that your function consistently maps integers to unique letters without overlaps.

Challenge and get performance evaluation