Certainly! Here are 8 examples of using a lambda function inside a list comprehension in Python, along with a step-by-step explanation of each code:

Example 1:

` ````
squares = [lambda x: x**2 for x in range(5)]
```

Explanation:

– A list comprehension is used to create a list of lambda functions that calculate the squares of numbers.

– The range function generates numbers from 0 to 4.

– For each number, the lambda function is defined with `x` as the input parameter, and `x**2` as the result of the calculation.

– The lambda functions are added to the `squares` list.

Example 2:

` ````
mult_3 = [(lambda x: x*n) for n in range(1, 6)]
```

Explanation:

– A list comprehension is used to create a list of lambda functions that multiply a number `x` with a variable `n` ranging from 1 to 5.

– For each `n` value, a lambda function is defined with `x` as the input parameter, and `x*n` as the result of the multiplication.

– The lambda functions are added to the `mult_3` list.

Example 3:

` ````
greater_than = [(lambda x: x) if x > 5 else (lambda x: 0) for x in range(10)]
```

Explanation:

– A list comprehension is used to create a list of lambda functions that return either the input number or 0, depending on whether the number is greater than 5.

– The range function generates numbers from 0 to 9.

– For each number, a lambda function is defined: if the number is greater than 5, the lambda function returns the number itself, otherwise it returns 0.

– The lambda functions are added to the `greater_than` list.

Example 4:

` ````
factorial = [lambda n: 1 if n <= 1 else n*factorial(n-1) for n in range(1, 6)]
```

Explanation:

– A list comprehension is used to create a list of lambda functions that calculate the factorial of a number `n`.

– The range function generates numbers from 1 to 5.

– For each `n` value, a lambda function is defined: if `n` is less than or equal to 1, the lambda function returns 1, otherwise it returns `n` multiplied by the result of calling the lambda function recursively with `n-1`.

– The lambda functions are added to the `factorial` list.

Example 5:

` ````
odd_even = ['odd' if i%2 != 0 else 'even' for i in range(10)]
```

Explanation:

– A list comprehension is used to create a list of strings indicating whether each number in the range from 0 to 9 is odd or even.

– For each number, the lambda function is defined using a ternary operator: if the number modulo 2 is not equal to 0, the lambda function returns the string ‘odd’, otherwise it returns the string ‘even’.

– The lambda function results are added to the `odd_even` list.

Example 6:

` ````
double_num = [(lambda x: x*2)(n) for n in range(5)]
```

Explanation:

– A list comprehension is used to create a list of numbers multiplied by 2.

– The range function generates numbers from 0 to 4.

– For each `n` value, the lambda function is defined and immediately called with `n` as the input parameter, and `x*2` as the result of the multiplication.

– The lambda function results are added to the `double_num` list.

Example 7:

` ````
power = [lambda x, p: x**p for x in range(1, 4) for p in range(1, 4)]
```

Explanation:

– A list comprehension is used to create a list of lambda functions that calculate the power of a number `x` raised to a variable `p`.

– Two range functions are used: the first one generates numbers from 1 to 3 as the base `x`, and the second one generates numbers from 1 to 3 as the power `p`.

– For each combination of `x` and `p` values, a lambda function is defined with `x` and `p` as the input parameters, and `x**p` as the result of the power calculation.

– The lambda functions are added to the `power` list.

Example 8:

` ````
filtered = [num for num in range(10) if (lambda x: x%2 == 0)(num)]
```

Explanation:

– A list comprehension is used to create a list of even numbers from 0 to 9.

– The range function generates numbers from 0 to 9.

– For each number, the lambda function is defined and immediately called with `num` as the input parameter.

– The lambda function result is used as the condition in the if statement: if the result is True (meaning the number is even), then the number is added to the `filtered` list.

In all these examples, the lambda functions are defined and executed within the context of a list comprehension, allowing for concise and efficient code creation.