Sets and Set Notation
A set is an unordered collection of distinct elements. In computing, sets describe valid inputs, database query results, and reachable program states.
Summary
A set is an unordered collection of distinct elements. In computing, sets describe valid inputs, database query results, and reachable program states. Element order and repeated occurrences do not change a set.
Roster notation lists elements explicitly, as in . Set-builder notation specifies a membership condition, as in .
🧠 Key Concepts
- Distinct Elements
- Roster Notation
- Set Builder Notation
- Membership and Inclusion
- Set Equality
- Union and Intersection
- Complement and Difference
- Empty Set
- Cardinality
- Power Set
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Sets and Set Notation
📘 Overview A set is an unordered collection of distinct elements. In computing, sets represent collections such as valid inputs, database query results, and reachable program states.
🧠 Key Idea Set notation expresses which objects belong to a collection and how collections relate or combine. Membership relates an element to a set; inclusion relates one set to another.
⚔️ Core Details: - Roster notation lists elements explicitly: ; order and repetition do not affect the set. - Set-builder notation specifies a membership condition:
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Part of 🌱 BSCS Year 1 — Computing & College Foundations
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