Philippines a form of illegal gambling. Mahjong is played in some Philippine communities. Sabong or cockfighting is another popular entertainment especially among Filipino men, and existed prior to the arrival of the Spanish. Antonio Pigafetta, Magellan's chronicler, first documented this pastime in the kingdom of Taytay. The yo-yo, a popular toy in the Philippines, was introduced in its modern form by Pedro Flores with its name coming from the Ilocano language. Philippines The Philippines ( ; or ' ), officially the Republic of the Philippines (), is an archipelagic country in Southeast Asia. Situated in the western Pacific Ocean, it consists
Lie group Lie groups are called "isomorphic" if there exists a bijective homomorphism between them whose inverse is also a Lie group homomorphism. Equivalently, it is a diffeomorphism which is also a group homomorphism. Isomorphic Lie groups necessarily have isomorphic Lie algebras; it is then reasonable to ask how isomorphism classes of Lie groups relate to isomorphism classes of Lie algebras. The first result in this direction is Lie's third theorem, which states that every finite-dimensional, real Lie algebra is the Lie algebra of some (linear) Lie group. One way to prove Lie's third theorem is to use Ado's theorem, which says