ry done to one will be the same as
that done to the other; not proportionately but quantitatively.
For instance, if one force has 10 ships and the other has 9 like
ships, all the ships being so far apart that a shot aimed at one
ship will probably not hit another, the conditions supposed in Table
I, column 2, are satisfied; the chances of hitting are identical
for both contestants, and so is the damage done at every hit. Table
I supposes that the chance of hitting and damaging does not change
until the target is destroyed.
As the desire of the author is now to show the advantage of having
a superadequate force, the following table has been calculated to
show the effect of forces of different size in fighting an enemy
of known and therefore constant size:
TABLE II
-----------------------------------------------------------------------
| |Col. 1|Col. 2|Col. 3|
|--------------------------------------------------|------|------|------|
|Value of offensive power at beginning. A | 1100 | 1500 | 2000 |
| B | 1000 | 1000 | 1000 |
|Damage done in 1st period by A | 110 | 150 | 200 |
| B | 100 | 100 | 100 |
|Value of offensive power at end of 1st period A | 1000 | 1400 | 1900 |
| B | 890 | 850 | 800 |
|Damage done in 2nd period by A | 100 | 140 | 190 |
| B | 89 | 85 | 80 |
|Value of offensive power at end of 2nd period A | 911 | 1315 | 1820 |
| B | 790 | 710 | 610 |
|Damage done in 3rd period by A | 91 | 131 | 182 |
| B | 79 | 71 | 61 |
|Value of offensive power at end of 3rd period A | 832 | 1244 | 1759 |
| B | 699 | 579 | 422 |
|Damage done in 4th period by A | 83 | 124 | 176 |
| B | 70 | 58 | 43 |
|Value of offensive power at end of 4th period A | 762 | 1186 | 1716 |
| B | 616 | 455 | 252 |
|Damage done in 5th period by A | 76 | 119 | 172 |
|
|