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 |
| m4=: m2 -: *: | Sum of odds is square (Tautology) |
| m5=: < i. 1: | The first element where x<y ; also works for = ~: < <: >: > E. |
| m6=: < i. 0: | The first element where not x<y |
| m7=: < i: 1: | The last element where x<y |
| m8=: < i: 0: | The last element where not x<y |
| m9=: [: +/ < | The number of elements where x<y |