English-French-Persian

Number of Results: 1 Search : harmonic mean

harmonic mean miyângin-e hamâhang Fr.: moyenne harmonique A number whose reciprocal is the → x, as:
_{n}1/H = (1/n) Σ(1/x, summing from _{i})i = 1 to n.
For example, the harmonic mean between 3 and 4 is 24/7 (reciprocal of
3: 1/3, reciprocal of 4: 1/4, arithmetic mean between them 7/24).
The harmonic mean applies more accurately to certain situations involving rates.
For example, if a car travels a certain distance at a speed speed
60 km/h and then the same distance again at a
speed 40 km/h, then its average speed is the
harmonic mean of 48 km/h, and its total
travel time is the same as if it had traveled the whole distance at
that average speed. However, if the car travels for a certain
amount of time at a speed v and then the same amount of time at a
speed u, then its average speed is the arithmetic mean of v and u,
which in the above example is 50 km/h. |