1. What is Set Intersection?

The intersection of two sets A and B is the set of elements that are in both A and B. It's denoted by A ∩ B and contains all elements that belong to both sets simultaneously.

2. How Does the Calculator Work?

The calculator uses the mathematical definition of set intersection:

Where:

• \( A \) — First input set
• \( B \) — Second input set
• \( \cap \) — Intersection operator
• \( x \) — Elements common to both sets

Explanation: The calculator takes two comma-separated lists, converts them to arrays, and finds their common elements.

3. Importance of Set Operations

Details: Set intersection is fundamental in mathematics, computer science, and data analysis. It's used in database queries, probability, and solving various mathematical problems.

4. Using the Calculator

Tips: Enter elements of each set separated by commas. The calculator will identify and display elements present in both sets.

5. Frequently Asked Questions (FAQ)

Q1: What if my sets have duplicate elements?
A: The calculator removes duplicates before calculating the intersection.

Q2: Does the order of elements matter?
A: No, sets are unordered collections. The intersection will be the same regardless of element order.

Q3: What if there's no intersection?
A: The result will be empty (shown as blank).

Q4: Are spaces around commas important?
A: No, the calculator trims spaces around elements automatically.

Q5: Can I use this for numbers and text?
A: Yes, the calculator works with both numeric and text elements.