|Total damage done by A| 717| 789| 800| 700| 600| 500| 400| 300| 200| 100| | B| 717| 574| 431| 317| 228| 159| 101| 60| 30| 10| ---------------------------------------------------------------------------- These tables grew out of an attempt to ascertain how the values of two contending forces change as the fight goes on. The offensive power of the stronger force is placed in the beginning at 1,000 in each case, and the offensive power of the weaker force at 900, 800, 700, 600, 500, 400, 300, 200, and 100. These values are, of course, wholly arbitrary, and some may say imaginary; but, as they are intended merely to show the comparative strength of the two forces, they are a logical measure, because numerical; there is always some numerical factor that expresses the comparative value of two contending forces, even though we never know what that numerical factor is. Two forces with offensive powers of 1,000 and 900 respectively may mean 1,000 men opposed to 900 men of equal average individual fighting value, commanded by officers of equal fighting ability; or it may mean 10 ships opposed to 9 like ships, manned by officers and men of equal numbers and ability; or it may mean two forces of equal strength, as regards number of men, ships, and guns, but commanded by officers whose relative ability is as 1,000 to 900. It may be objected here that it is ridiculous so to compare officers, because the ability of officers cannot be so mathematically tabulated. This, of course, is true; but the fact that we are unable so to compare officers is no reason for supposing that the abilities of officers, especially officers of high position, do not affect quantitatively the fighting value of the forces they command; and the intention in mentioning this factor is simply to show that the relative values of the forces, as indicated in these tables, are supposed to include all the factors that go to make them up.