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applyEntries -- apply a function to all entries in the tableau

Usage:

applyEntries(T,f)
Inputs:
- T, an instance of the type YoungTableau, a tableau.
- f, a function, acts on the entries of T.
Outputs:
- T', an instance of the type YoungTableau, a tableau with the same shape as T, and entries n -> f n.

Description

i1 : T = youngTableau(new Partition from {6,3,2}, new Partition from {2}, toList(0..8))

             ┌───┬───┬───┬───┐
o1 =         │ 0 │ 1 │ 2 │ 3 │
     ┌───┬───┼───┼───┴───┴───┘
     │ 4 │ 5 │ 6 │            
     ├───┼───┼───┘            
     │ 7 │ 8 │                
     └───┴───┘                

o1 : YoungTableau

i2 : applyEntries(T, theBox -> theBox^2)

               ┌────┬────┬────┬────┐
o2 =           │ 0  │ 1  │ 4  │ 9  │
     ┌────┬────┼────┼────┴────┴────┘
     │ 16 │ 25 │ 36 │               
     ├────┼────┼────┘               
     │ 49 │ 64 │                    
     └────┴────┘                    

o2 : YoungTableau

See also

applyPositions -- apply a function to all positions of boxes in a tableau

Ways to use applyEntries:

applyEntries(YoungTableau,Function)

For the programmer

The object applyEntries is a method function.

The source of this document is in /build/reproducible-path/macaulay2-1.26.05+ds/M2/Macaulay2/packages/Tableaux/documentation.m2:252:0.