Arithmetic-geometric mean: Difference between revisions
Content added Content deleted
m (elided a doubly linked to URL.) |
|||
| Line 5: | Line 5: | ||
;Task: |
;Task: |
||
Write a function to compute the [[wp:Arithmetic-geometric mean|arithmetic-geometric mean]] of two numbers. |
Write a function to compute the [[wp:Arithmetic-geometric mean|arithmetic-geometric mean]] of two numbers. |
||
[http://mathworld.wolfram.com/Arithmetic-GeometricMean.html] |
|||
The arithmetic-geometric mean of two numbers can be (usefully) denoted as <math>\mathrm{agm}(a,g)</math>, and is equal to the limit of the sequence: |
The arithmetic-geometric mean of two numbers can be (usefully) denoted as <math>\mathrm{agm}(a,g)</math>, and is equal to the limit of the sequence: |
||
: <math>a_0 = a; \qquad g_0 = g</math> |
: <math>a_0 = a; \qquad g_0 = g</math> |
||