Why war-fighting equations undercount presence

Presence may require a rule of four or five rather than the familiar rule of three because ships also create value while deploying and returning. Battle-focused equations can estimate the force needed at one decisive point but often miss port visits, reassurance, conventional deterrence, and routine diplomatic coverage. Corbett, Mahan, James Cable, Gorshkov, and Theodore Roosevelt's Great White Fleet supply historical frameworks and examples for this overlooked work. A mathematically efficient battle fleet can still be too small for the continuous work expected of a navy in peace.