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| author | Julian Weigt <juw@posteo.de> | 2026-02-09 22:49:09 +0100 |
|---|---|---|
| committer | Julian Weigt <juw@posteo.de> | 2026-02-09 22:50:23 +0100 |
| commit | 1f441038b320cd30d81437ce54c65ee9f1158142 (patch) | |
| tree | 7e772e5490a80a16744190be3bf1ecefd83fc116 | |
| parent | 1375a5525dc19f3760d1ed5ae0c6a6f56acf369b (diff) | |
Improve readme.
| -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,∞}. |
