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Okay, let's dive deep into the fascinating world of functors and lambda expressions in C++11 and beyond, focusing on advanced techniques. This tutorial will build incrementally, ensuring you understand the core concepts before moving to more complex applications.

*Outline:*

1. *Introduction to Functors (Function Objects)*
What are functors?
Why use functors?
Basic functor syntax.
Functors vs. Function Pointers.

2. *Functors with State (Data Members)*
Storing data within a functor.
Modifying functor state through `operator()`.
Functors as configurable algorithms.

3. *Generic Functors (Templates)*
Creating functors that work with different data types.
Using template parameters for flexibility.

4. *`std::function` - Type Erasure*
Understanding type erasure.
How `std::function` works.
Storing different callable entities in `std::function`.
Benefits and drawbacks of `std::function`.

5. *Introduction to Lambda Expressions*
What are lambda expressions?
Lambda expression syntax.
Capturing variables by value and reference.
Mutable lambdas.

6. *Lambda as Functors: Closure Objects*
How lambda expressions are translated into functors.
The closure object (anonymous functor).
Understanding the generated `operator()`.

7. *Generic Lambdas (C++14)*
Using `auto` in lambda parameter lists.
Creating polymorphic lambdas.

8. *Higher-Order Functions and Functor/Lambda Composition*
Functions that take functors or lambdas as arguments.
Returning functors or lambdas from functions.
Combining functors and lambdas to create complex behavior.

9. *`std::bind` - Partial Function Application*
Understanding partial function application.
Using `std::bind` to create new callable entities.
Binding arguments to functions and member functions.
...

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