Mexican settlement in the Philippines territory subject to the designs of Washington, D.C. During the Spanish period, the islands formed part of the Viceroyalty of New Spain, coupled with other areas of the Pacific Ocean such as the Marianas and the Caroline Islands and during a short period in northern Taiwan. The Spaniards made trade routes from Mexico to the Philippines, the main ports of Mexico today to start their starting points were Acapulco and Puerto Vallarta with their final destination to Manila, the current capital of the Philippines. The Spanish ships on these routes were known as the Manila galleons. After the arrival of
Lie theory Lie theory In mathematics, the researcher Sophus Lie ( ) initiated lines of study involving integration of differential equations, transformation groups, and contact of spheres that have come to be called Lie theory. For instance, the latter subject is Lie sphere geometry. This article addresses his approach to transformation groups, which is one of the areas of mathematics, and was worked out by Wilhelm Killing and Élie Cartan. The foundation of Lie theory is the exponential map relating Lie algebras to Lie groups which is called the Lie group–Lie algebra correspondence. The subject is part of differential geometry since Lie