. Construct a distance table for this railway system
Question
. Construct a distance table for this railway system
Solution
Claro, para construir una tabla de distancias para un sistema ferroviario, primero necesitamos conocer las estaciones y las distancias entre cada par de estaciones. Supongamos que tenemos las siguientes estaciones: A, B, C, y D, y las distancias entre ellas son las siguientes:
- A a B: 5 km
- A a C: 10 km
- A a D: 15 km
- B a C: 7 km
- B a D: 12 km
- C a D: 8 km
Con esta información, podemos construir la tabla de distancias. La tabla tendrá las estaciones en las filas y columnas, y las celdas mostrarán las distancias entre las estaciones correspondientes.
| A | B | C | D | |
|---|---|---|---|---|
| A | 0 | 5 | 10 | 15 |
| B | 5 | 0 | 7 | 12 |
| C | 10 | 7 | 0 | 8 |
| D | 15 | 12 | 8 | 0 |
En esta tabla, la diagonal principal (de la esquina superior izquierda a la esquina inferior derecha) tiene ceros porque la distancia de una estación a sí misma es cero. Las otras celdas muestran las distancias directas entre las estaciones.
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