6CS012-Artificial Intelligence and Machine Learning: Foundational Math Skills for Deep Learning Revision
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Questions and Answers

What is a set in mathematics?

  • A group of objects with no common characteristics
  • A collection of objects with a specific property (correct)
  • A single object with multiple properties
  • A mathematical operation with multiple variables

    • How is a set typically denoted?

  • By symbols
  • By numerical values
  • By lowercase letters
  • By capital letters (correct)

    • What does the notation 𝑨⊂𝑩 represent?

  • Set A is a superset of Set B
  • Set A is equal to Set B
  • Set A is a subset of Set B (correct)
  • Set A is disjoint with Set B

    • What is an empty set?

    <p>A set with no elements</p> Signup and view all the answers

    How can a set be specified?

    <p>Either by listing its elements or by stating its properties</p> Signup and view all the answers

    What is the relationship between a set and its elements?

    <p>Elements are a part of the set definition</p> Signup and view all the answers

    What is the union of two sets A and B?

    <p>The set of all elements that are in A or in B or in both</p> Signup and view all the answers

    What is the Cartesian product of two sets A and B?

    <p>A set of ordered pairs, where the first element is from A and the second element is from B</p> Signup and view all the answers

    What is the difference between the union and intersection of two sets?

    <p>The union is a set of all elements that are in A or in B or in both, while the intersection is a set of all elements that are common in A and B</p> Signup and view all the answers

    What is the complement of a set A?

    <p>The set of all elements that are in the universal set but not in A</p> Signup and view all the answers

    What is a mapping or function?

    <p>A subset of the Cartesian product</p> Signup and view all the answers

    What is the range of a function f?

    <p>The set of all elements that are assigned to each element in the domain of f</p> Signup and view all the answers

    What is a well-defined function?

    <p>A function that is defined for every element in the domain, and each element is assigned to a unique element in the range</p> Signup and view all the answers

    What is an injective function?

    <p>A function that assigns distinct elements in the domain to distinct elements in the range</p> Signup and view all the answers

    What is a surjective function?

    <p>A function that assigns every element in the range to at least one element in the domain</p> Signup and view all the answers

    What is a bijective function?

    <p>A function that is both injective and surjective</p> Signup and view all the answers

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