VirtualTally

Description

The only difference between this class and Tally is that this class allows negative numbers.

i1 : x = tally {a,b,b,c,c,c}

o1 = Tally{a => 1}
           b => 2
           c => 3

o1 : Tally

i2 : y = tally {a,a,a,b,b,c}

o2 = Tally{a => 3}
           b => 2
           c => 1

o2 : Tally

i3 : x' = new VirtualTally from x

o3 = VirtualTally{a => 1}
                  b => 2
                  c => 3

o3 : VirtualTally

i4 : y' = new VirtualTally from y

o4 = VirtualTally{a => 3}
                  b => 2
                  c => 1

o4 : VirtualTally

i5 : x-y

o5 = Tally{c => 2}

o5 : Tally

i6 : x'-y'

o6 = VirtualTally{a => -2}
                  c => 2

o6 : VirtualTally

VirtualTally - VirtualTally
VirtualTally ** VirtualTally -- Cartesian product of tallies
VirtualTally + VirtualTally -- union of tallies
VirtualTally ^** ZZ -- Cartesian power of sets and tallies
Command \ VirtualTally -- see VisibleList / Function -- apply a function to elements of a list
Function \ VirtualTally -- see VisibleList / Function -- apply a function to elements of a list
VirtualTally / Command -- see VisibleList / Function -- apply a function to elements of a list
VirtualTally / Function -- see VisibleList / Function -- apply a function to elements of a list

- VirtualTally -- negation of a VirtualTally
VirtualTally ? VirtualTally -- see ? -- comparison operator
Number * VirtualTally (missing documentation)
partition(Function,VirtualTally) -- see partition -- partition a set or list by values of a function
partition(Function,VirtualTally,VisibleList) -- see partition -- partition a set or list by values of a function
product(VirtualTally) -- product of elements
RingElement * VirtualTally (missing documentation)
sum(VirtualTally) -- sum of elements
VirtualTally == VirtualTally (missing documentation)
VirtualTally == ZZ (missing documentation)
VirtualTally ? ZZ (missing documentation)
VirtualTally _ Thing -- get a count from a tally
ZZ == VirtualTally (missing documentation)
ZZ ? VirtualTally (missing documentation)

The object VirtualTally is a type, with ancestor classes HashTable < Thing.