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Spokeshave ....Thanks for the information. I've been subjected to everything from Sun Tzu ,Maslow to Demming and now Six Sigma. Guess I'll have to surf some of the web sites with the Lanchester Strategy .

Stay Safe and again.....Thanks.

Actually I just meant the snake pic at #12!

What he's really referring to are Lanchester's equations. Basically, Lanchester observed that as ranged fires replaced close combat as the primary casualty generator, the nature of warfare changed, and gave a great deal more emphasis on numeric superiority.

For example, in a battle between 1000 men on side A and 750 men on side B in the era of close combat (sword and shield), you'd wind up with 250 men on Side A and 0 on Side B after an engagement to the finish. That's a 75% loss rate for the superior force.

With ranged fire, you have a more complex situation. The following example ignores terrain and morale for the purposes of illustrating the basic principle.

Suppose that Side A has 1,000 soldiers engaged, against 750 for Side B. Casualty rates are identical: 10% per volley of fire (1000 soldiers firing = 100 hits). Volleys are assumed to occur simultaneously.

We come up with the following table:

Time Increment	Side A Force	Side B Force	Ratio A:B
0	1,000	750	1.33
1	925	650	1.42
2	860	558	1.54
3	804	472	1.70
4	757	392	1.93
5	718	316	2.27
6	686	244	2.81
7	662	175	3.78
8	644	109	5.91
9	633	45	14.07
10	628	0	Infinite

As you can see, the side with superior numbers gains an ever-widening level of superiority over the enemy, taking less than 40% losses in exchange for annihilating the enemy.