Function objects
From cppreference.com
                    
                                        
                    
                    
                                                            
                    A function object is any object for which the function call operator is defined. C++ provides many built-in function objects as well as support for creation and manipulation of new function objects.
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[edit] Polymorphic function wrappers
std::function provides support for storing arbitrary function objects.
|    (C++11) 
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   wraps callable object of any type with specified function call signature   (class template)  | 
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   creates a function object out of a pointer to a member   (function template)  | 
|    (C++11) 
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   the exception thrown when invoking an empty std::function   (class)  | 
|    (C++17) 
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   invokes any Callable object with given arguments  (function template)  | 
[edit] Bind
std::bind provides support for partial function application, i.e. binding arguments to functions to produce new functions.
|    (C++11) 
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   binds one or more arguments to a function object   (function template)  | 
|    (C++11) 
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   indicates that an object is std::bind expression or can be used as one  (class template)  | 
|    (C++11) 
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   indicates that an object is a standard placeholder or can be used as one   (class template)  | 
|   Defined in  namespace  
std::placeholders  | 
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|    (C++11) 
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  placeholders for the unbound arguments in a std::bind expression  (constant)  | 
[edit] Reference wrappers
Reference wrappers allow reference arguments to be stored in copyable function objects:
|    (C++11) 
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   CopyConstructible and CopyAssignable reference wrapper  (class template)  | 
|    (C++11)(C++11) 
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   creates a std::reference_wrapper with a type deduced from its argument   (function template)  | 
[edit] Function objects
C++ defines several function objects that represent common arithmetic and logical operations:
 Arithmetic operations | 
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|    function object implementing x + y   (class template)  | 
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|    function object implementing x - y   (class template)  | 
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|    function object implementing x * y   (class template)  | 
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|    function object implementing x / y   (class template)  | 
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|    function object implementing x % y   (class template)  | 
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|    function object implementing -x   (class template)  | 
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 Comparisons | 
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|    function object implementing x == y   (class template)  | 
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|    function object implementing x != y   (class template)  | 
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|    function object implementing x > y   (class template)  | 
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|    function object implementing x < y   (class template)  | 
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|    function object implementing x >= y   (class template)  | 
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|    function object implementing x <= y   (class template)  | 
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 Logical operations | 
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|    function object implementing x && y   (class template)  | 
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|    function object implementing x || y   (class template)  | 
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|    function object implementing !x   (class template)  | 
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 Bitwise operations | 
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|    function object implementing x & y   (class template)  | 
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|    function object implementing x | y   (class template)  | 
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|    function object implementing x ^ y   (class template)  | 
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|    (C++14) 
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   function object implementing ~x   (class template)  | 
 Negators | 
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|    wrapper function object returning the complement of the unary predicate it holds   (class template)  | 
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|    wrapper function object returning the complement of the binary predicate it holds   (class template)  | 
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|    constructs custom std::unary_negate object   (function template)  | 
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|    constructs custom std::binary_negate object   (function template)  | 
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[edit] Deprecated in C++11
Several utilities that provided early functional support are deprecated in C++11:
 Base | 
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|    (until C++17) 
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   adaptor-compatible unary function base class   (class template)  | 
|    (until C++17) 
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   adaptor-compatible binary function base class    (class template)  | 
 Binders | 
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|    (until C++17)(until C++17) 
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   function object holding a binary function and one of its arguments   (class template)  | 
|    (until C++17)(until C++17) 
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   binds one argument to a binary function   (function template)  | 
 Function adaptors | 
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|    (until C++17) 
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   adaptor-compatible wrapper for a pointer to unary function   (class template)  | 
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   adaptor-compatible wrapper for a pointer to binary function   (class template)  | 
|    (until C++17) 
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   creates an adaptor-compatible function object wrapper from a pointer to function   (function template)  | 
|    (until C++17)(until C++17)(until C++17)(until C++17) 
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   wrapper for a pointer to nullary or unary member function, callable with a pointer to object   (class template)  | 
|    (until C++17) 
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   creates a wrapper from a pointer to member function, callable with a pointer to object  (function template)  | 
|    (until C++17)(until C++17)(until C++17)(until C++17) 
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   wrapper for a pointer to nullary or unary member function, callable with a reference to object   (class template)  | 
|    (until C++17) 
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   creates a wrapper from a pointer to member function, callable with a reference to object  (function template)  |