포함-배제의 원리

노트

위키데이터

• ID : Q849335

말뭉치

1. It is called the inclusion-exclusion formula because elements in \(A \cap B\) are included (twice) in \(|A|+|B|\), then excluded when \(|A \cap B|\) is subtracted.
2. We will now calculate the number of "bad" solutions with the inclusion-exclusion principle.
3. We now use the formula of inclusion-exclusion to count the number of permutations with at least one fixed point.
4. The Inclusion-exclusion Principle is helpful for counting the elements of the union of overlapping sets.
5. The name comes from the idea that the principle is based on over-generous inclusion, followed by compensating exclusion.
6. Namely, when the size of the intersection sets appearing in the formulas for the principle of inclusion–exclusion depend only on the number of sets in the intersections and not on which sets appear.
7. A n of a universal set S, the principle of inclusion–exclusion calculates the number of elements of S in none of these subsets.
8. A well-known application of the inclusion–exclusion principle is to the combinatorial problem of counting all derangements of a finite set.
9. The inclusion-exclusion principle is used in many branches of pure and applied mathematics.
10. In both cases the number of random events is too large to apply inclusion-exclusion.
11. Essentially, this way of over-counting (inclusion), correcting it using under-counting (exclusion) and again correcting (overcorrection) and so on is referred to as the inclusion-exclusion technique.
12. In order to explain the inclusion-exclusion principle, we first need to cover some basic set theory.

메타데이터

위키데이터

• ID : Q849335

Spacy 패턴 목록

• [{'LOWER': 'inclusion'}, {'OP': '*'}, {'LOWER': 'exclusion'}, {'LEMMA': 'principle'}]
• [{'LOWER': 'inclusion'}, {'OP': '*'}, {'LOWER': 'exclusion'}, {'LEMMA': 'principle'}]