Including U.S. territories and ships afloat within territorial waters As of 31 December 2009, a total of 1,137,568 personnel were on active duty within the United States and its territories (including 84,461 afloat). The vast majority (941,629 personnel) were stationed at bases within the contiguous United States. There were an additional 37,245 in Hawaii and 20,450 in Alaska while 84,461 were at sea, 2,972 in Guam and 179 in Puerto Rico.
The first recorded use of the word military in English, spelled militarie, was in 1585. It comes from the Latin militaris (from Latin miles, meaning "soldier") through French, but is of uncertain etymology, one suggestion being derived from *mil-it- – going in a body or mass. The word is now identified as denoting someone that is skilled in use of weapons, or engaged in military service, or in warfare.
An important part of the military intelligence role is the military analysis performed to assess military capability of potential future aggressors, and provide combat modelling that helps to understand factors on which comparison of forces can be made. This helps to quantify and qualify such statements as: "China and India maintain the largest armed forces in the World" or that "the U.S. Military is considered to be the world's strongest".
Mathematics Knowledge tests the ability to solve problems by applying knowledge of mathematical concepts and applications. The problems focus on concepts and algorithms, and involve number theory, numeration, algebraic operations and equations, geometry, measurement and probability. Mathematics Knowledge is one factor that characterizes mathematics comprehension; it also assesses logical thinking.