By Philip Katcher
Whilst the Southern states seceded to shape their very own executive in 1861, one in every of their first strikes was once to organise a military. The South's combating males served from the time in their enlistment until eventually the top of the conflict, receiving negative rations, or even worse garments – and this even though one of many first steps taken through the hot military was once to layout a uniform and identify criteria for accoutrements and guns. during this first of 5 volumes analyzing American Civil warfare armies, Philip Katcher profiles the uniforms issued by means of the nationwide accomplice govt to its artillery, cavalry and infantry troops.
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Additional info for American Civil War Armies (1): Confederate Troops (Men-at-Arms, Volume 170)
The rate 0 < y < 1. y, Consider aa organization shrinking at The number of positions of rank r or higher decreases annually by or higher occur at the annual rate of mP r m was the size of the entering class per year and Pr the Vacancies in ranks where r fraction that reached ranks decline) • r or higher (before the onset of Now Nr mP r from T=t r (7) • It follows that no promotions into ranks r are possible during the transition when l-y > 1 = T-t r or (34) 1 Y < 1 - T-t • r This condition hits the lowest ranks first.
The first question to be asked is this: Is there a salary scale for which wage bill/operative is independent or decreasing with scale? Consider first the case in which presidential salaries are not exceptional and compare an organization with one and two administrative levels. Wage bill/operative R = 1 R Now b b Wage bill/operative 2 b 1 b S 1 W + 2 1 S 2 W + 1 S 2 2 S S 2 S 1 w0 1 would imply 2 s s (w + s w ) 2 w + sWo 1 1 1 1 0 s (w + S w + 1 2 2 1 S 2 S 1 wo ) or o s W 1 2 which is impossible.
T-t T-t + Nr-l < Pr < N-r l r-+ Nr+l -Nr (16) T-t r-l T-t r-l 1 so that, in fact, at any rank promotion may be made a matter of certainty. The probability of a particular promotion t r _l Nr 1 - -T- N-- r-l retirement age T. 1 - is also a decreasing function of tr T It does not depend on the total number of positions. For the probability qr of reaching rank r and staying there one has qr P r - Pr + l Nr (17) N qr 1 N __ Nr+l [_r T-t r T-t r + l J T N Nr+l tr -"T tr+l 1 - -T- an increasing function of tr and Nr and a decreasing function of tr+l and Nr + l • For all r > 0 it is a decreasing function of N but it does not depend on T in an unambiguous way.
American Civil War Armies (1): Confederate Troops (Men-at-Arms, Volume 170) by Philip Katcher