The Australian Academy of Science and The Australian Mathematical Sciences Institute are currently preparing a Decadal Plan for the Mathematical Sciences in Australia.
The earth, as we all know, rotates about its axis once every twenty-four hours, giving us the cyclic alternation of night and day.
This method generalizes the disk method of integration to find the volume of a rotated function by utilizing a differential dependent on both the axis of rotation and the rotated function.
Q1411 How many three-digit numbers are there which do not contain any digit more than once? What do you get if you add them all up?