Function -- the class of all functions

Types of function :

• CompiledFunction -- the class of all compiled functions
• CompiledFunctionClosure -- the class of all compiled function closures
• FunctionClosure -- the class of all function closures

Functions and methods returning a function :

• Function @@ Function -- composition of functions
• Function _ Thing -- missing documentation
• List >> Function -- attaching options to a function
• OptionTable >> Function -- attaching options to a function
• profile(Function), see profile -- profile a function

Methods that use a function :

• accumulate(Function,Thing,VisibleList)
• accumulate(Function,VisibleList)
• accumulate(VisibleList,Function)
• accumulate(VisibleList,Thing,Function)
• addHook(HashTable,Thing,Function) -- add a hook function to an object for later processing
• all(BasicList,BasicList,Function) -- whether all corresponding elements of a pair of lists satisfy a condition
• all(BasicList,Function) -- whether all elements of a list satisfy a specified condition
• all(HashTable,Function) -- whether all key/value pairs in a hash table satisfy a specified condition
• any(BasicList,BasicList,Function) -- whether any corresponding elements of a pair of lists satisfy a condition
• any(BasicList,Function) -- whether any elements of a list satisfy a specified condition
• any(HashTable,Function) -- whether all key/value pairs in a hash table satisfy a specified condition
• apply(BasicList,BasicList,Function) -- apply a function to pairs of elements, one from each list
• apply(BasicList,Function) -- apply a function to each element of a list
• apply(ZZ,Function) -- apply a function to {0,..., n-1}
• applyKeys(HashTable,Function), see applyKeys -- apply a function to each key in a hash table
• applyPairs(HashTable,Function), see applyPairs -- apply a function to each pair in a hash table
• applyValues(HashTable,Function), see applyValues -- apply a function to each value
• fold(Function,Thing,VisibleList)
• fold(Function,VisibleList)
• fold(VisibleList,Function)
• fold(VisibleList,Thing,Function)
• frames(Function), see frames -- get the frames associated to a closure
• Function % Parser -- transform the value returned by a parser
• Function Thing -- function application
• installAssignmentMethod(Symbol,HashTable,Function), see installAssignmentMethod -- install methods assignment to the value of an operator
• installAssignmentMethod(Symbol,HashTable,HashTable,Function), see installAssignmentMethod -- install methods assignment to the value of an operator
• localDictionaries(Function), see localDictionaries -- get local dictionaries
• locate(Function), see locate -- locate source code
• map(ChainComplex,ChainComplex,Function) -- make a map of chain complexes
• map(GradedModule,GradedModule,Function), see map(ChainComplex,ChainComplex,Function) -- make a map of chain complexes
• map(Module,Module,Function) -- create a matrix by specifying a function which gives each entry
• map(Module,ZZ,Function) -- create a matrix from a free module by specifying a function which gives each entry
• memoize(Function), see memoize -- record results of function evaluation for future use
• memoize(Function,List), see memoize -- record results of function evaluation for future use
• merge(HashTable,HashTable,Function) -- merge hash tables
• mergePairs(BasicList,BasicList,Function), see mergePairs -- merge sorted lists of pairs
• methodOptions(Function) -- recover the options used when a method function was created
• new Command from Function -- missing documentation
• new Manipulator from Function -- missing documentation
• options(Function) -- get optional arguments and default values for a function which accepts them
• package(Function), see package -- get containing package
• position(VisibleList,Function), see position -- find first element of a list satisfying a condition
• position(VisibleList,VisibleList,Function) -- find first element of a list satisfying a condition
• positions(VisibleList,Function), see positions -- which elements of a list satisfy a condition
• product(VisibleList,Function) -- product of values of a function
• product(VisibleList,VisibleList,Function) -- product of results of applying a function pairwise
• product(ZZ,Function) -- product of consecutive values of a function
• profile(String,Function), see profile -- profile a function
• removeHook(HashTable,Thing,Function) -- remove a hook function from an object
• scan(BasicList,Function) -- apply a function to each element of a list
• scan(ZZ,Function) -- apply a function to 0 .. n-1
• scanKeys(Database,Function), see scanKeys -- apply a function to each key in a hash table or database
• scanKeys(HashTable,Function), see scanKeys -- apply a function to each key in a hash table or database
• scanPairs(HashTable,Function) -- apply a function to pairs in a hash table
• scanValues(HashTable,Function), see scanValues -- apply a function to each value in a hash table
• select(BasicList,Function) -- select elements from a list
• select(HashTable,Function) -- select pairs from a hash table
• select(ZZ,BasicList,Function) -- select a limited number of elements from a list
• select(ZZ,HashTable,Function) -- select a limited number of pairs from a hash table
• sublists(VisibleList,Function), see sublists -- process interspersed sublists of a list
• sublists(VisibleList,Function,Function), see sublists -- process interspersed sublists of a list
• sublists(VisibleList,Function,Function,Function), see sublists -- process interspersed sublists of a list
• sublists(VisibleList,Function,Function,Nothing), see sublists -- process interspersed sublists of a list
• sublists(VisibleList,Function,Nothing), see sublists -- process interspersed sublists of a list
• sublists(VisibleList,Function,Nothing,Function), see sublists -- process interspersed sublists of a list
• sublists(VisibleList,Function,Nothing,Nothing), see sublists -- process interspersed sublists of a list
• sum(VisibleList,Function) -- sum results of applying a function
• sum(VisibleList,VisibleList,Function) -- sum results of applying a function pairwise
• sum(ZZ,Function) -- sum consecutive values of a function
• Function \\ Thing, see Thing // Function -- apply a function
• Thing // Function -- apply a function
• ultimate(Function,Thing), see ultimate -- ultimate value for an iteration
• Function \ Tally, see VisibleList / Function -- apply a function to elements of a list
• Function \ VisibleList, see VisibleList / Function -- apply a function to elements of a list
• List / Function, see VisibleList / Function -- apply a function to elements of a list
• Tally / Function, see VisibleList / Function -- apply a function to elements of a list
• VisibleList / Function -- apply a function to elements of a list

For the programmer

The object Function is a type, with ancestor class Thing.