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The complement of a set "A" is another set - call it "B" - that contains all the elements (of the universe under consideration) which are NOT in set "A". The "universe" must be specified (or implied), since concepts like the "set of all sets" are known to cause contradictions. For example, if the universe is all the people living in my country, and set "A" is all male people, then the "complement" would be the female people.
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What does the word complement mean in maths?
In mathematics, the term "complement" refers to the concept of a set that includes all elements not in a given set, typically relative to a universal set. For example, if ( U ) is the universal set and ( A ) is a subset of ( U ), the complement of ( A ) (denoted as ( A' ) or ( U - A )) consists of all elements in ( U ) that are not in ( A ). In geometry, the complement can also refer to angles that add up to 90 degrees, such as the complement of a 30-degree angle being a 60-degree angle.
What is complement of a set means?
The complement of a set refers to the elements that are not included in that set but are part of a larger universal set. For example, if the universal set is all natural numbers and set A consists of even numbers, the complement of set A would be all the odd numbers within the universal set. Mathematically, the complement of set A is often denoted as A'.
Complement of a set?
The complement of a set S, relative to the universal set U, consists of all elements of U that are not in S.
What is a complement in mathematics?
In mathematics, a complement refers to the difference between a set and a subset of that set. For example, if ( A ) is a set and ( B ) is a subset of ( A ), the complement of ( B ) in ( A ) consists of all elements in ( A ) that are not in ( B ). This concept is commonly used in set theory and probability, where the complement of an event represents all outcomes not included in that event.
What is the complement of set UR?
The answer depends on what the set UR is!
What is complement of an empty set?
The complement of an empty set is universal set
Is the complement of the complement of a universal set is called a null set?
yes
Is the complement of a set is the set of all things that are in the set true or false?
false, because the complement of a set is the set of all elements that are not in the set.
What is complement of a set means?
The complement of a set refers to the elements that are not included in that set but are part of a larger universal set. For example, if the universal set is all natural numbers and set A consists of even numbers, the complement of set A would be all the odd numbers within the universal set. Mathematically, the complement of set A is often denoted as A'.
What is an absolute complement?
An absolute complement is the set which includes exactly the elements belonging to the universal set but not to a given set.
Complement of a set?
The complement of a set S, relative to the universal set U, consists of all elements of U that are not in S.
What does it mean to have A with a ' above it?
This has to do with sets in math. It means "is complemented by" (and yes, complemented is spelled right). for example: c' (read as: c complement or c is a complement of) the set of W. it means everything outside the set of W.
What is the complement of set UR?
The answer depends on what the set UR is!
What does complement mean in probability?
The complement of an event occurring is that it does not occur.
What is a complement of a subset?
The complement of a subset B within a set A consists of all elements of A which are not in B.
Is null set both a complement and subset of universal set?
Yes.
What is the meaning of complement set?
they are not the same elements.
