Why ſhould not that dead carrion ſatisfie / The guilt, which if he liued had thus long, / His life for due reuenge ſhould deare abie ? / The treſpaſſe ſtill doth liue, albe the perſon die.

Edmund, I thinke, is gone, / In pitty of his miſery, to diſpatch / His nighted life: Moreouer to deſcry / The ſtrength o’ th’ Enemy.

The total weight of the items worn and carried by the squad leader and infantry rifleman cannot be increased as capability and functionality is increased because of the adverse effects on mobility and fightability.

A central problem in approximation theory is to characterize the best approximation of a function by polynomials, or other classes of simple functions, in terms of the smoothness of the function. In this chapter, we study the characterization of the best approximation by polynomials on the sphere. In the classical setting of one variable, the smoothness of a function on 𝕊¹ is described by the modulus of smoothness, defined by the forward difference.