**two sets X and Y**. Assume that both the sets X and Y are non-empty sets. Thus, X ⋂ Y is also a non-empty set, the sets are called joint set. In case, if X ⋂ Y results in an empty set, then it is called the disjoint set.

What is the difference between joint custody and joint legal custody?

**benefits of joint legal custody**.

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A joint set is **a family of parallel, evenly spaced joints** that can be identified through mapping and analysis of their orientations, spacing, and physical properties. A joint system consists of two or more intersecting joint sets.

In mathematics, two sets are said to be disjoint sets if they have no element in common. Equivalently, two disjoint sets are **sets whose intersection is the empty set**. For example, {1, 2, 3} and {4, 5, 6} are disjoint sets, while {1, 2, 3} and {3, 4, 5} are not disjoint.

**When a group of joints have the same dip angle and a strike angle**, that group is known as a joint set. … Assume there are eight joints in the rock core with the following dip angles: 32, 67, 35, 65, 28, 64, 62, 30, and 31. It is clear that there are at least two joint sets.

Two sets A and B are said to be disjoint, if they do not have any element in common. **B = {x : x** is a composite number}. … Overlapping sets: Two sets A and B are said to be overlapping if they contain at least one element in common.

Disjoint of sets using Venn diagram is shown by **two non-overlapping closed regions** and said inclusions are shown by showing one closed curve lying entirely within another. Two sets A and B are said to be disjoint, if they have no element in common.

- Finite Set. A set which contains a definite number of elements is called a finite set. …
- Infinite Set. A set which contains infinite number of elements is called an infinite set. …
- Subset. …
- Proper Subset. …
- Universal Set. …
- Empty Set or Null Set. …
- Singleton Set or Unit Set. …
- Equal Set.

The disjoint union of two sets and is **a binary operator that combines all distinct elements of a pair of given sets**, while retaining the original set membership as a distinguishing characteristic of the union set.

We say that the sets in A are mutually disjoint **if no two of them have any elements in common**. In other words, if A,B∈A, and A≠B, then A∩B=∅.

A set is **a collection of elements or numbers or objects**, represented within the curly brackets { }. For example: {1,2,3,4} is a set of numbers.

The union of a set A with a B is the set of elements that are in either set A or B. The union is denoted as **A∪B**.

The equivalent set definition states that in a simple **set, there is an equal number of elements**. Equivalent sets do not have to hold the same number but the same number of elements.

No. **Two sets are equal if all the elements of both the sets are same**. Two sets are equivalent if the number of elements of both the sets is same.

- A – A =∅
- A – ∅ = A.
- ∅ – A = ∅
- A – U = ∅
- (AC)C = A.
- DeMorgan’s Law I: (A ∩ B)C = AC ∪ B. C
- DeMorgan’s Law II: (A ∪ B)C = AC ∩ B. C

Notice that there is no overlap between the two sample spaces. Thus, **events A and B are disjoint events** because they both cannot occur at the same time. What is this? Note: Disjoint events are also said to be mutually exclusive.

The disjoint set can be defined as **the subsets where there is no common element between the two sets**. Let’s understand the disjoint sets through an example. We have two subsets named s1 and s2. The s1 subset contains the elements 1, 2, 3, 4, while s2 contains the elements 5, 6, 7, 8.

How to Find if two sets are Disjoint? To determine whether two sets are disjoint sets, **all you have to do is perform the intersection operation**. Disjoint sets will never have any common element between them. Therefore, their intersection will always be a null set.

Question 3: What is the classification of sets in mathematics? Answer: There are various kinds of sets like – **finite and infinite sets, equal and equivalent sets**, a null set. Further, there are a subset and proper subset, power set, universal set in addition to the disjoint sets with the help of examples.

Before learning sets for class 11, let us know first what is a set. A set is a well-**defined** collection of objects, whose elements are fixed and cannot vary. It means set doesn’t change from person to person. Like for example, the set of natural numbers up to 7 will remain the same as {1,2,3,4,5,6,7}.

A set is **a gathering together into a whole of definite, distinct objects of our perception** [Anschauung] and of our thought – which are called elements of the set. The elements or members of a set can be anything: numbers, people, letters of the alphabet, other sets, and so on.

A disjoint set union is a **binary operation on two sets**. … With the help of this operation, we can join all the different (distinct) elements of a pair of sets. A disjoint union may indicate one of two conditions.

Definition of the disjoint union “Disjoint union” can mean one of two things: The simple union, together with the assertion that the two **sets don’t overlap**; The operation “do something to the elements of each set to make sure they don’t overlap, and then take the union”.

You seem to be looking for an adjective meaning the opposite of disjoint. Given two sets that aren’t disjoint, I would just call them **intersecting sets**, where intersecting is an adjectival participle derived from the verb to intersect.

Disjoint events and independent events are different. **Events are considered disjoint if they never occur at the same time**; these are also known as mutually exclusive events. Events are considered independent if they are unrelated.

- The verbal description method.
- The roster notation or listing method.
- The set-builder notation.

A set-builder notation describes the elements of a set instead of listing the elements. For example, the set { 5, 6, 7, 8, 9} list the elements. We read the set {x is a counting number between 4 and 10} as the set of all x such that x is a number greater than 4 and less than 10.

In mathematics, **the empty set** is the unique set having no elements; its size or cardinality (count of elements in a set) is zero. … In some textbooks and popularizations, the empty set is referred to as the “null set”.

The circles A and B represent sets. **“Intersect**” is represented by an upside down U. The intersection is where the circles overlap. “Union” is represented by a right-side up U. The union is the entire area of both circles.

We use to denote the universal set, which is all of the items which can appear in any set. This is usually represented by the outside rectangle on the venn diagram. A B **represents the intersection of sets A and B**. This is all the items which appear in set A and in set B. A B represents the union of sets A and B.

List of Mathematical Symbols. • R = real numbers, Z = integers, N=**natural numbers**, Q = rational numbers, P = irrational numbers.

Definition 2: Two sets A and B are said to be equivalent **if they have the same cardinality i.e. n(A) = n(B)**. In general, we can say, two sets are equivalent to each other if the number of elements in both the sets is equal. And it is not necessary that they have same elements, or they are a subset of each other.

The relation of having the same cardinality is called **equinumerosity**, and this is an equivalence relation on the class of all sets.

**Yes**! Here A & B are disjoint sets as well as equivalent too. We can represent equivalency as follows.. Equivalent sets are the sets with the same cardinal number.

Equal sets have the exact same elements in them, even though they could be out of order. Equivalent sets have **different** elements but have the same amount of elements.

Two sets are said to be **equal if they contain the same elements and the same cardinality**. This concept is known as Set Equality.