Hi guys,
it’s not strictly about Chicken, but a quick note about 0^0 is in order.
Dominic Pearson wrote:
Hello folks,I am trying to compute the sum i = 0 to n where n = 1000 of n^n
Panos Stergiotis wrote:
Total[Table[i^i, {i, 1, 1000}]] + 1 yields[...]The + 1 is because 0^0 is not defined in mathematica
It’s more than that, 0^0 is not defined in Maths.
Simply put:
lim(0^x) for x→0 = 0
lim(x^0) for x→0 = 1
Therefore 0^0 has more than one solution -or- is undefined.
Graphical explanation: if you plot the surface z = x^y, you will see that it approaches the origin both with value constantly 1 from one direction (along the x axis, where y = 0) and with value constantly 0 from the other (along the y axis, where x = 0). Therefore, at the very origin, both 0 and 1 are solutions! Moreover, all numbers between 0 and 1 seem to be solutions too, looking at the graph. (Other numbers would be too, if you plotted the other quadrants of the surface… some of which are imaginary :-)
Cheers
Tobia