Write some instructions.

1 files changed, 9 insertions, 1 deletions

diff --git a/README.md b/README.md
index f422ba8..a4ed6f1 100644
--- a/README.md
+++ b/README.md
@@ -20,6 +20,14 @@ builds three files:
 - `charf_error` does computations using floating point (`double`) numbers and gives an upper bound for the total rounding error.
 - `charf_exact` does exact computations using fractions. Nominator and denominator are of type `unsigned long long` and bounded in size accordingly.
 
+# Computation
+
+By default, the program goes through all possible characteristic functions on circles from length 2 to 36, considers derivatives from order 0 to 64 and exponents p = 1,2,4,8,∞.
+Computing the maximal function of a function is the most computationally complex part. This means it is time efficient to consider several orders of derivative and exponents at the same time, in particular since the (k+1)th derivative is computed using the kth derivative.
+
+The program continuously outputs whenever it finds a function that beats the last record for the largest ratio of the L<sup>p</sup> norm of the kth derivative of the maximal function and the function.
+It is also possible to print the results in human readable format and as a latex table.
+
 # Correctness
 
-I am relatively confident that the error bounds are correct for all operations except exponentiation, which is not used for p∈{1,∞}.
+I am relatively confident that the computed error bounds are correct for all operations except exponentiation, which is not used for p∈{1,∞}.