Take the digits
2, 0, 0 and 3. Make equations equating to all the integers from 1 to 150 using these digits according to the following rules:-
a) The above digits are the only digits to be used and no other digits should appear anywhere in the equation (except on the side where the answer will be).
b) Use of any mathematical symbols are allowed.
c) The digits 2, 0, 0 and 3 should appear in the given order in the equation. e.g - 0 + 2 + 3 + 0 = 5 is not acceptable.
d) When using the mathematical symbols try using the most simplest forms as much as possible.
(In reply to
function f(x) = x+1 by Brian Smith)
subtly invalididates rule d. Also, It looks like the final sum you've shown is 9, not 8, but that's just semantics...
My method (in progress) is to define trig functions in degrees rather than radians and use the arccos and arcsin of numbers less than one to give me fractions, which can be rounded up or down according to other posters. Still working on a couple of the larger ones.
Also, I came up with a previous method to calculate any number to infinity, but it was rejected due to its notation.