Parameter
|
Value
|
| Date/Time Began |
04/22/2007 12:41:49 UT |
| Number of Times Repeated |
1,024 |
| Date/Time Finished |
04/27/2007 06:24:23 UT |
| Number of Pulses |
494 |
| Page Duration (With Delay) |
6 min 39.76 sec |
| Data Transfer Rate |
3.71 bits per second |
| Symbol A (84.7 Hz) Occurs |
32 times |
| Symbol C (119.8 Hz) Occurs |
144 times |
| Symbol D (142.4 Hz) Occurs |
168 times |
| Symbol E (169.4 Hz) Occurs |
32 times |
| Symbol F (201.5 Hz) Occurs |
48 times |
| Symbol I (338.8 Hz) Occurs |
9 times |
| Symbol L (569.8 Hz) Occurs |
29 times |
| Symbol M (677.6 Hz) Occurs |
32 times |
Page #7 is as follows:
1.) DDFCDMDCCDEA
2.) DDDFCDMDCCCDDEA
3.) CCCDFCDMCCCCCCDEA
4.) DLCDFCDMDCLCDDEA
5.) CDFDDMCCCDEA
6.) DDFDDMDDCDDEA
7.) DCDFDDMDCDDDDDEA
8.) DLDFDDMDDCLDDEA
9.) DCCDFDDIFCDMEA
10.) CCCCDFCCDIFCDMEA
11.) DCCDDFDCDIFCDMEA
12.) DCLCDDFDLCDIFCDMEA
13.) CCCDIFCDIFDDMEA
14.) CFCFCDMEA
15.) DFDFDDMEA
16.) DFDDFCMEA
17.) DCCDFDLCMDDEA
18.) DCCCDDFDLCMDDDEA
19.) CCCCCCDFDLCMCCCDEA
20.) DCLCDDFDLCMDLCDEA
21.) DDCDDFDCDCDCDCLCMDDEA
22.) CCCCDFDCLCMCDEA
23.) CCCCDFDDLCMCCCDEA
24.) DCCCLDCDFDCLCMDLDEA
25.) CDDFCCCDDCDDFDCDCDCDCLCMEA
26.) CFCFDLCMEA
27.) DFDFDCLCMEA
28.) DLDDDFDLDDDFDMEA
29.) DCCLCFCCCDFDIMEA
30.) DCCCLCFCCDFCDIMEA
31.) DCLCFCCCCDFDLICMEA
32.) DDDCCDCDDCLDFCDFDLCMEA
Translation Notes
The symbol M is the only new symbol but it occurs exactly once
on each line. Taking line #1 we have DD followed by F followed by CD followed by
M followed
by DCCD followed by E. We can translate this as:
3, 2 M 9 = or 3 M 2 = 9
Clearly the symbol M represents raising to a power. Lines
#14 and #26 demonstrate that zero raised to any power equals zero. Lines
#15 and #27 demonstrate that one raised to any power equals one. Line #16
demonstrates that any nonzero number raised to the power of zero equals one. Line
#28 demonstrates that any nonzero number raised to the power of one equals itself.
Line #32 equates the square root of two with DDDCCDCDDCLD which is 1.0110100111
binary (i.e., 1.413 decimal). Note that the square root of two is an
irrational number which requires an infinite number of digits to represent it
with complete accuracy. We represent it as a binary number with ten binary
digits after the binary point which is only an approximation. The complete English translation of
page #7 is as follows:
1.) 3 ^ 2 = 9
2.) 7 ^ 2 = 49
3.) 8 ^ 2 = 64
4.) 2.5 ^ 2 = 6.25
5.) 2 ^ 3 = 8
6.) 3 ^ 3 = 27
7.) 5 ^ 3 = 125
8.) 1.5 ^ 3 = 3.375
9.) 9 = -3 ^ 2
10.) 16 = -4 ^ 2
11.) 25 = -5 ^ 2
12.) 6.25 = -2.5 ^ 2
13.) -8 = -2 ^ 3
14.) 0 = 0 ^ 2
15.) 1 = 1 ^ 3
16.) 1 = 3 ^ 0
17.) 9 ^ 0.5 = 3
18.) 49 ^ 0.5 = 7
19.) 64 ^ 0.5 = 8
20.) 6.25 ^ 0.5 = 2.5
21.) 27 ^ 0.333 = 3
22.) 16 ^ 0.25 = 2
23.) 16 ^ 0.75 = 8
24.) 5.0625 ^ 0.25 = 1.5
25.) 6 = 216 ^ 0.333
26.) 0 = 0 ^ 0.5
27.) 1 = 1 ^ 0.25
28.) 7.5 = 7.5 ^ 1
29.) 0.125 = 8 ^ -1
30.) 0.0625 = 4 ^ -2
31.) 0.25 = 16 ^ -0.5
32.) 1.413 = 2 ^ 0.5
Dictionary So Far
| Symbol M represents raising to a power |
| Integers raised to integer powers |
| Real numbers raised to integer powers |
| Real numbers raised to fractional powers (e.g., square
root, cube root) |
| Zero raised to any power equals zero |
| One raised to any power equals one |
| Any nonzero number raised to the power of zero equals one |
| Any nonzero number raised to the power of one equals itself |