10/26/2007, 11:41 PM
Although I've covered it elsewhere, I'll show a comparison for the slog as well, since we're on the subject:
Code:
C = 0.3181315052... + 1.337235701...i
c = 0.3181315052... - 1.337235701...i
| n | slog(z) | log_C(z-C)+log_c(z-c) | difference
|----+----------------------+-----------------------+----------------------
| 1 | 0.915946056499533 | 0.945130773415607 | -0.029184716916074
| 2 | 0.249354598672173 | 0.248253690528730 | 0.001100908143443
| 3 | -0.110464759796431 | -0.111008639309894 | 0.000543879513463
| 4 | -0.093936255099859 | -0.093733042063317 | -0.000203213036542
| 5 | 0.010003233293232 | 0.010000010486703 | 0.000003222806528
| 6 | 0.035897921594543 | 0.035879454713238 | 0.000018466881305
| 7 | 0.006573401099605 | 0.006575953489817 | -0.000002552390211
| 8 | -0.012306859518184 | -0.012304686001806 | -0.000002173516378
| 9 | -0.006389802569157 | -0.006390235918384 | 0.000000433349227
| 10 | 0.003273589822817 | 0.003273230813856 | 0.000000359008961
| 11 | 0.003769202952828 | 0.003769267345563 | -0.000000064392735
| 12 | -0.000280217019537 | -0.000280141200757 | -0.000000075818780
| 13 | -0.001775106557196 | -0.001775113859078 | 0.000000007301881
| 14 | -0.000427969957525 | -0.000427988270446 | 0.000000018312921
| 15 | 0.000679723261244 | 0.000679722859771 | 0.000000000401473
| 16 | 0.000412792618166 | 0.000412797297022 | -0.000000004678857
| 17 | -0.000186597783775 | -0.000186597001042 | -0.000000000782734
| 18 | -0.000253549198417 | -0.000253550392217 | 0.000000001193801
| 19 | 0.000007474329223 | 0.000007473906558 | 0.000000000422666
| 20 | 0.000123166907930 | 0.000123167193596 | -0.000000000285666
| 21 | 0.000035922663688 | 0.000035922845263 | -0.000000000181575
| 22 | -0.000047714769107 | -0.000047714825731 | 0.000000000056624
| 23 | -0.000032728894880 | -0.000032728964565 | 0.000000000069685
| 24 | 0.000012587032851 | 0.000012587037767 | -0.000000000004916
| 25 | 0.000020005706280 | 0.000020005730774 | -0.000000000024494
~ Jay Daniel Fox
