Frozen sets in Python are sets that cannot be changed after creation. In addition, they cannot contain duplicate values. In this sense, a frozen set has the properties of a tuple and set.

**To create a frozen set, wrap a set around a frozenset() call:**

constants = frozenset({3.141, 2.712, 1.414})

Let’s take a bit closer look at the frozen sets in Python and what problem they solve.

## What Problem Do Frozen Sets Solve

Python’s frozen set is like a combination of a tuple and a set.

To fully understand the problem `frozenset`

solves, you need to first learn what is a set and what is a tuple in Python.

### What Is a Set in Python

In Python, a set is an unordered, mutable collection of unique items.

A set has the following characteristics:

**Unique values.**You cannot have duplicates in a set.**Unordered collection.**There is no order in the set.**Mutable.**You can modify the set by adding and removing values.**Supports mathematical set operations,**such as`union`

,`difference`

,`intersection`

.

Here is some basic usage of a set.

>>> nums = {1, 7, 3, 2, 2, 2, 2} >>> nums.add(10) >>> nums {1, 2, 3, 7, 10} >>> nums.remove(7) >>> nums {1, 2, 3, 10} >>> len(nums) 4

Generally, you should use a set to carry out mathematical set operations in Python.

To review other features of sets, check out this article.

### What Is a Tuple in Python

A tuple is an ordered, immutable data type. This means:

- You cannot modify a tuple after creation.
- The items are in an order.
- You can have duplicate values.

Here is an example of how to create a set and do some basic operations with it:

>>> nums = (1, 3, 7, 10, 10) >>> nums (1, 3, 7, 10, 10) >>> len(nums) 5 >>> nums[0] 1

Generally, you should use a tuple if you want a group of values that are not supposed to change.

For a more comprehensive guide on tuples in Python, check out this article.

### Tuple + Set = Frozenset

A frozen set in Python is like a combination of tuples and sets. A frozen set cannot be modified and does not accept duplicates. It can be used to carry out mathematical set operations.

A frozen set has the following characteristics:

**Unique collection.**No duplicate values are allowed.**Unordered.**The notion of order is meaningless in a frozen set.**Immutable.**You cannot change a frozen set after creation.**Supports (immutable) set operations**, such as`union`

,`difference`

,`intersection`

.

There is no special syntax for creating a frozen set. Instead, you need to wrap a set around a `frozenset()`

function call.

For example:

names = frozenset({"Alice", "Bob", "Charlie"})

## Frozen Set Methods in Python

The frozen set in Python supports the basic set operations.

### 1. difference

You can compute the difference between two frozen sets using the `difference()`

method.

Here is an illustration:

And here is the code:

A = frozenset({10, 20, 30}) B = frozenset({30, 40, 50}) print(A.difference(B))

Output:

frozenset({10, 20})

### 2. intersection

You can compute the intersection between two frozen sets using the `intersection()`

method.

Here is an illustration:

Here is an example:

A = frozenset({10, 20, 30}) B = frozenset({30, 40, 50}) print(A.intersection(B))

Output:

frozenset({30})

### 3. union

You can compute the union between two frozen sets using the `union()`

method.

Here is an illustration:

And here is the code:

A = frozenset({10, 20, 30}) B = frozenset({30, 40, 50}) print(A.union(B))

Output:

frozenset({50, 20, 40, 10, 30})

### 4. symmetric_difference

The symmetric difference between two sets is the opposite of the intersection between them.

In other words, the symmetric difference is the set with values in either set A or B, but not in both.

For example:

A = frozenset({30, 40, 50}) B = frozenset({30, 40, 10}) print(A.symmetric_difference(B))

Output:

frozenset({10, 50})

### 5. isdisjoint

Two (frozen) sets are disjoint if they have no common elements.

To check if two frozen sets are disjoint, use the `isdisjoint()`

method.

For instance:

A = frozenset({10, 20, 30}) B = frozenset({30, 40, 50}) print(A.isdisjoint(B))

Output:

False

These frozen sets are not disjoint as they have one common element—the number 30.

### 6. issubset

A (frozen) set is a subset of another (frozen) set if all the elements of the set are present in another.

For example:

A = frozenset({30, 40}) B = frozenset({30, 40, 50}) print(A.issubset(B))

Output:

True

The result is `True`

because all the elements of set A are found in set B.

### 7. issuperset

To check if a set has all the elements of another, use the `issuperset(`

) method.

For example:

A = frozenset({30, 40, 50}) B = frozenset({30, 40}) print(A.issuperset(B))

Output:

True

The result is `True`

because all the elements of set B are found in set A.

### 8. copy

To create a copy of a frozen set, use the `copy()`

method.

For example:

A = frozenset({30, 40, 50}) B = A.copy() print(B)

Output:

frozenset({40, 50, 30})

### Length of a Frozenset

You can use the built-in `len()`

function to check how many elements there are in a frozen set.

For example:

A = frozenset({30, 40, 50}) print(len(A))

Output:

3

## How to Loop Through a Frozenset in Python

A `frozenset`

is an iterable object in Python. This means it is possible to loop through it with a for loop. This looks similar to how you would loop through a set or a list in Python.

For instance:

A = frozenset({1, 2, 3, 6}) for number in A: print(number)

Output:

1 2 3 6

## When Use Frozen Sets in Python

As mentioned earlier, a frozen set is like a combination of a tuple and a set.

You can use it if you need to perform set operations but don’t want to modify the contents of the set.

One benefit of using a `frozenset`

is to make your intention clear for other developers—this set of values should not be touched!

## Conclusion

A frozen set in Python is a set of unique and unchangeable values.

A frozen set:

- Cannot be modified after creation.
- Cannot contain duplicate values.
- Can be used to perform mathematical set operations.

A frozen set is like a combination of a tuple and a set.

You can create one by calling `frozenset()`

on a set:

constants = frozenset({3.141, 2.712, 1.414})

Thanks for reading. I hope you liked it.