This is what Turing established, and into the bargain the remarkable fact that anything that is computable can in fact be computed by one machine, a universal Turing machine.
Computability, or the question whether a function can be computed, is not the only question that interests computer scientists.
For information to be computed, it must be handled by the computational mechanism in question, and for such a handling to take place, the information must be encoded.
The computation table for the update operation may be easily computed by hand, and takes the form of a table with input/output pairings.
They computed the average over both the post-war period and the two-century time span.
When The Economist computed the index differently last summer, in order to take account of variations in per capita income across countries, it found that the yuan was close to fair value.
Neither is it clear that manufacturing trade balances, as presently computed, accurately account for the actual American content in traded goods.
The real interest rate, as computed by the Cleveland Fed, sat above -1%.
For the "set" to which he gave his name, when computed, drawn on a complex plane and suitably tinted, appealed greatly to the senses as a million posters, greetings cards and T-shirts, bought by people who had not the faintest idea what it was, attest.The Mandelbrot set is a collection of points in the complex-number plane.
A case has been pending for some time against American Express, also for offering discounts to card-holders; these are computed in London and thus aggravatingly out of reach.Small firms whinge that bigger ones get most of the concessions.
