The following phrases illustrate how trains may be substituted for other constructs, often giving expressions that are more readable, particularly to readers more familiar with expressions from mathematics:
| m0=: >: @ +: @ i. | First odd integers |
| m1=: 1: + 2: * i. | Same as m0 |
| m2=: +/ @ (1: + 2: * i.) | Sum of odd integers |
| m3=: [: +/ 1: + 2: * i. | Same as m2 using cap |
| v4=: m=: [: | Mnemonic for this use of cap (monad) |
| m5=: m +/ 1: + 2: * i. | Same as m3 |
| m6=: m2 -: *: | Sum of odds is square (Tautology) |
| m7=: %:@(+/@(*:@(]-+/%#))) | Standard deviation |
| m8=: m%: m+/ m*: ] - +/ % # | Same as m7 |