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| -rw-r--r-- | README.md | 4 |
1 files changed, 2 insertions, 2 deletions
@@ -22,7 +22,7 @@ builds three files: # 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,∞. +By default, the program goes through all 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. @@ -30,4 +30,4 @@ It is also possible to print the results in human readable format and as a latex # Correctness -I am relatively confident that the computed 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,∞}. |