Steadiness Analysis

Steadiness

The bitwise steadiness of a token sequence describes that the deltas of the token sequence (based on the chosen alphabet and the number of digits) behave bitwise similary, without (non-trivial) analytically properties or any stochastic pattern. Again, a token sequence is even bitwise (i.e. by any delta bit) neither reproducible nor predictable, neither in whole nor in part.

The bitwise steadiness of token sequences for given alphabets is demonstrated here in a visual way using patterns found in numerical mappings of token sequences and their analytic transformations.

Analysis Archives

DICE - Steadiness Analysis Archive (35,9 MB)

UPPER_EPCG30 - Steadiness Analysis Archive (29.3 MB)

The linked archives contain

  • some metrics of the tokens, of the scores and of the deltas as JSON
  • the token data, the score and delta numbers as CSV
  • the score walk and the delta slots walks as CSV
  • all available plots as shown below as an example in PNG format

Analysis Plots

The aim of the bitwise steadiness plots is to show that the patterns found in the deltas of many token sequences (5 here to be specific) of the same kind, obtained via the Unique Tokens API, are clearly different from each other.

Score Plots

The plot shows as example for the DICE alphabet the numeric scores of many sequences of 46,656 DICE scores.

DICE - Score 1 of 5

Delta Plots

The plot shows as example for the DICE alphabet the one-step differences of 46,656 scores.

DICE - Delta 1 of 5

Walk Plots

The plot shows as example for the DICE alphabet the centered walk of 46,656 DICE scores.

DICE - Walk 1 of 5

Slots Plots

The plot shows as example for the DICE alphabet the slots walks of 46,655 DICE deltas.

DICE - Delta 16 Slots 1 of 5