Evaluate

Basic Examples

In[]:=
MetaTally
combines multiple tallies:
[◼]
MetaTally
[{Tally[{1,1,1,2}],Tally[{1,2,2}]}]
In[]:=
{{1,4},{2,3}}
Out[]=
Analogous to the
Tally
of the combined lists:
Tally[Join[{1,1,1,2},{1,2,2}]]
In[]:=
{{1,4},{2,3}}
Out[]=
Allowing work with intermediate tallies:
catGenderTally=Tally[{"F","F","F","F","F","M","M","M"}]
In[]:=
{{F,5},{M,3}}
Out[]=
dogGenderTally=Tally[{"M","M","M","M","F"}]
In[]:=
{{M,4},{F,1}}
Out[]=
[◼]
MetaTally
[{catGenderTally,dogGenderTally}]
In[]:=
{{F,6},{M,7}}
Out[]=

Scope

In[]:=
The argument lists are compared on their first elements:
[◼]
MetaTally
[{​​{{{"crane","noun"},2},{{"crane","verb"},2},{{"hack","verb"},7}},​​{{{"crane","verb"},3},{{"hack","noun"},5}}​​}]
In[]:=
{{{crane,noun},2},{{crane,verb},5},{{hack,noun},5},{{hack,verb},7}}
Out[]=
The aggregation is performed on the rest of the elements:
[◼]
MetaTally
[{​​{{"crane",2,0},{"crane",0,2},{"hack",0,7}},​​{{"crane",0,3},{"hack",5,0}}​​}]//TableForm
In[]:=
crane
2
5
hack
5
7
Out[]//TableForm=
The function for aggregation can be specified:
[◼]
MetaTally
[{​​{{"a",0.3},{"b",0.6},{"c",0.1}},​​{{"a",0.5},{"b",0.5}}​​},Max]//TableForm
In[]:=
a
0.5
b
0.6
c
0.1
Out[]//TableForm=
[◼]
MetaTally
[{​​{{"a",0.3},{"b",0.6},{"c",0.1}},​​{{"a",0.5},{"b",0.5}}​​},Apply[Times,#]&]
In[]:=
{{a,0.15},{b,0.3},{c,0.1}}
Out[]=

Properties and Relations

The default aggregation function is
Total
:
[◼]
MetaTally
[{​​{{"a",0.3},{"b",0.6},{"c",0.1}},​​{{"a",0.5},{"b",0.5}}​​}]
In[]:=
{{a,0.8},{b,1.1},{c,0.1}}
Out[]=
[◼]
MetaTally
[{​​{{"a",0.3},{"b",0.6},{"c",0.1}},​​{{"a",0.5},{"b",0.5}}​​},Total]
In[]:=
{{a,0.8},{b,1.1},{c,0.1}}
Out[]=