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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 | |
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