Since that time the relative position of the leaders has not materially changed, although some estimates are to the effect that Russia and Italy have changed places and that Spain has gained slightly on the United States. Of the ones at the foot of the procession all have dropped below the station assigned them, by the advance of Japan, which has come from outside the file of the first ten and is now eighth, ranking between Spain and China. The estimates are based on a calculation of all the elements that enter into the efficiency of the navies, such as tonnage, speed, armor, caliber and range of armament, number of enlisted men and their efficiency. Such calculations cannot be absolute, for they cannot measure at all times the accuracy of the gunnery of a certain vessel. The human equation enters so prominently into warfare that mathematical calculations must be at all times incomplete. Americans will be slow to believe, however, that they are at any disadvantage in this detail, whatever their material equipment may be. The following table shows the strength of the navy of the United States. In that part of the table marked "first rate" the four ships placed first are first-class battle ships, the Brooklyn and New York are armored cruisers, the Columbia, Olympia and Minneapolis protected cruisers, the Texas a second-class battle ship and the Puritan a double-turret monitor. Among the second-raters all but the Miantonomah, Amphitrite, Monadnock and Terror (monitors) are protected cruisers. The newly bought boats, New Orleans and Albany, belong in this class. The third-raters are a heterogeneous lot, consisting of cruisers, gunboats, old monitors and unprotected cruisers. Of the fourth raters, Vesuvius is a dynamite ship, the Yankee and Michigan are cruisers, the Petrel, Bancroft and Pinta are gunboats and the Fern is a transport. The remaining classes of the table are homogeneous. The government has recently purchased numerous tugs and yachts not accounted for in the table: FIRST RATE. NAME Displacement Guns in indicated Hull (tons) main battery horsepower Iowa 11,340 18 12,105 Steel Indiana 10,288 16 9,738 Steel Massachusetts 10,288 16 10,403 Steel Oregon 10,288 16 11,111 Steel Brooklyn 9,215 20 18,769 Steel New York 8,200 18 17,401 Steel Columbia 7,375 11 18,509 Steel Minneapolis 7,375 11 20,862 Steel Texas 6,315 8 8,610 Steel Puritan 6,060 10 3,700 Iron Olympia 5,870 14 17,313 Steel SECOND RATE.