Ring homomorphismIn ring theory, a branch of abstract algebra, a ring homomorphism is a structure-preserving function between two rings. More explicitly, if R and S are rings, then a ring homomorphism is a function f : R → S such that f is: addition preserving: for all a and b in R, multiplication preserving: for all a and b in R, and unit (multiplicative identity) preserving: Additive inverses and the additive identity are part of the structure too, but it is not necessary to require explicitly that they too are respected, because these conditions are consequences of the three conditions above.
MorphismIn mathematics, particularly in , a morphism is a structure-preserving map from one mathematical structure to another one of the same type. The notion of morphism recurs in much of contemporary mathematics. In set theory, morphisms are functions; in linear algebra, linear transformations; in group theory, group homomorphisms; in analysis and topology, continuous functions, and so on.
Romance languagesThe Romance languages, sometimes referred to as Latin languages or Neo-Latin languages, are numerous modern languages that evolved from Late Latin and its spoken form, often called Vulgar Latin. They are the only extant subgroup of the Italic languages branch of the Indo-European language family. The five most widely spoken Romance languages by number of native speakers are Spanish (489 million), Portuguese (283 million), French (80 million), Italian (67 million) and Romanian (24 million), which are all national languages of their respective countries of origin.
March 9141 BC – Liu Che, posthumously known as Emperor Wu of Han, assumes the throne over the Han dynasty of China. 1009 – First known mention of Lithuania, in the annals of the monastery of Quedlinburg. 1226 – Khwarazmian sultan Jalal ad-Din conquers the Georgian capital of Tbilisi. 1230 – Bulgarian Tsar Ivan Asen II defeats Theodore of Epirus in the Battle of Klokotnitsa. 1500 – The fleet of Pedro Álvares Cabral leaves Lisbon for the Indies. The fleet will discover Brazil which lies within boundaries granted to Portugal in the Treaty of Tordesillas in 1494.
Hotel Casa del MarThe Hotel Casa del Mar is a historic luxury hotel located on the beach in Santa Monica, California. It is owned and operated by the Edward Thomas Collection of Hotels (ETC Hotels). The building was constructed by brothers E.A. "Jack" Harter and T.D. "Til" Harter, doing business as the H & H Holding Company, at a cost of $2 million. It opened as Club Casa del Mar, a private beach club, on May 1, 1926. Designed by Los Angeles architect Charles F.
Mar del PlataMar del Plata is a city on the coast of the Atlantic Ocean, in Buenos Aires Province, Argentina. It is the seat of General Pueyrredón district. Mar del Plata is the second largest city in Buenos Aires Province. The name "Mar del Plata" is a shortening of "Mar del Rio de la Plata," and has the meaning of "sea of the Rio de la Plata basin" or "adjoining sea to the (River) Plate region". Mar del Plata is one of the major fishing ports and the biggest seaside beach resort in Argentina. With a population of 682.
LogMAR chartA logMAR chart (Logarithm of the Minimum Angle of Resolution) is a chart consisting of rows of letters that is used by ophthalmologists, orthoptists, optometrists, and vision scientists to estimate visual acuity. The chart was developed at the National Vision Research Institute of Australia in 1976, and is designed to enable a more accurate estimate of acuity than do other charts (e.g., the Snellen chart). For this reason, the LogMAR chart is recommended, particularly in a research setting.
Manneken Pis; ˌmɑnəkə(m) ˈpɪs) is a landmark bronze fountain sculpture in central Brussels, Belgium, depicting a puer mingens; a naked little boy urinating into the fountain's basin. Though its existence is attested as early as the mid-15th century, it was redesigned by the Brabantine sculptor Jérôme Duquesnoy the Elder and put in place in 1618 or 1619. Its stone niche in rocaille style dates from 1770. Manneken Pis has been repeatedly stolen or damaged throughout its history.