Set Theory Calculator
Calculate set operations: union, intersection, difference, and complement.
5 elements
5 elements
About this tool
A set theory calculator is a tool designed to help you work with mathematical sets and perform operations on them. Whether you're a student learning discrete mathematics, a programmer working with data structures, or anyone curious about logic and collections, this calculator makes it easy to understand how sets combine, overlap, and differ from one another. Set operations form the foundation of many areas in mathematics, computer science, and data analysis.
To use this calculator, enter your sets by providing elements separated by commas, then select the operation you want to perform: union (all elements from both sets), intersection (elements common to both), difference (elements in the first set but not the second), or complement (elements not in your set). The tool instantly shows you the result, making it simple to verify your work or explore different combinations. It's particularly useful for visualizing how sets relate to each other and understanding the logic behind common operations.
Frequently Asked Questions
Code Implementation
def parse_set(text: str) -> set:
"""Parse comma-separated values into a set."""
return {v.strip() for v in text.split(",") if v.strip()}
def set_operations(a_text: str, b_text: str) -> dict:
A = parse_set(a_text)
B = parse_set(b_text)
return {
"A": sorted(A),
"B": sorted(B),
"union": sorted(A | B),
"intersection": sorted(A & B),
"difference_A_minus_B": sorted(A - B),
"difference_B_minus_A": sorted(B - A),
"symmetric_difference": sorted(A ^ B),
"is_subset_A_of_B": A.issubset(B),
"is_superset_A_of_B": A.issuperset(B),
"are_disjoint": A.isdisjoint(B),
}
result = set_operations("1, 2, 3, 4", "3, 4, 5, 6")
for k, v in result.items():
print(f"{k}: {v}")
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