Groups share a fundamental kinship with the notion of symmetry. For example, a symmetry group encodes symmetry features of a geometrical object: the group consists of the set of transformations that leave the object unchanged and the operation of combining two such transformations by performing one after the other. Lie groups are the symmetry groups used in the Standard Model of particle physics; Point groups are used to help understand symmetry phenomena in molecular chemistry; and Poincaré groups can express the physical symmetry underlying special relativity.
What are the symmetry groups utilized as a part of the Standard Model particle physics?
Lie groups

On the other hand, classical (analog) television transmissions are usually horizontally polarized, because in urban areas buildings can reflect the electromagnetic waves and create ghost images due to multipath propagation. Using horizontal polarization, ghosting is reduced because the amount of reflection of electromagnetic waves in the p polarization (horizontal polarization off the side of a building) is generally less than s (vertical, in this case) polarization. Vertically polarized analog television has nevertheless been used in some rural areas. In digital terrestrial television such reflections are less problematic, due to robustness of binary transmissions and error correction.
Buildings can create ghost images because of what?
multipath propagation

The transition from the mandolino to the mandolin began around 1744 with the designing of the metal-string mandolin by the Vinaccia family, 3 brass strings and one of gut, using friction tuning pegs on a fingerboard that sat "flush" with the sound table. The mandolin grew in popularity over the next 60 years, in the streets where it was used by young men courting and by street musicians, and in the concert hall. After the Napoleonic Wars of 1815, however, its popularity began to fall. The 19th century produced some prominent players, including Bartolomeo Bortolazzi of Venice and Pietro Vimercati. However, professional virtuosity was in decline, and the mandolin music changed as the mandolin became a folk instrument; "the large repertoire of notated instrumental music for the mandolino and the mandoline was completely forgotten". The export market for mandolins from Italy dried up around 1815, and when Carmine de Laurentiis wrote a mandolin method in 1874, the Music World magazine wrote that the mandolin was "out of date." Salvador Léonardi mentioned this decline in his 1921 book, Méthode pour Banjoline ou Mandoline-Banjo, saying that the mandolin had been declining in popularity from previous times.
What year was the beginning of the transition from mandolino to mandolin?
1744