16 Questions
What is a set in mathematics?
A collection of objects with a specific property
How is a set typically denoted?
By capital letters
What does the notation 𝑨⊂𝑩 represent?
Set A is a subset of Set B
What is an empty set?
A set with no elements
How can a set be specified?
Either by listing its elements or by stating its properties
What is the relationship between a set and its elements?
Elements are a part of the set definition
What is the union of two sets A and B?
The set of all elements that are in A or in B or in both
What is the Cartesian product of two sets A and B?
A set of ordered pairs, where the first element is from A and the second element is from B
What is the difference between the union and intersection of two sets?
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
What is the complement of a set A?
The set of all elements that are in the universal set but not in A
What is a mapping or function?
A subset of the Cartesian product
What is the range of a function f?
The set of all elements that are assigned to each element in the domain of f
What is a well-defined function?
A function that is defined for every element in the domain, and each element is assigned to a unique element in the range
What is an injective function?
A function that assigns distinct elements in the domain to distinct elements in the range
What is a surjective function?
A function that assigns every element in the range to at least one element in the domain
What is a bijective function?
A function that is both injective and surjective
This quiz covers fundamental concepts from mathematics that will be used throughout the course on Artificial Intelligence and Machine Learning. The topics include sets, functions, and basic mathematical skills essential for deep learning applications.
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