The one
In a multiplicative group or monoid , the identity element is sometimes denoted 1 , but e (from the German Einheit , "unity") is more traditional. However, 1 is especially common for the multiplicative identity of a ring, i.e., when an addition and 0 are also present. When such a ring has characteristic n not equal to 0, the element called 1 has the property that n 1 = 1 n = 0 (where this 0 is the additive identity of the ring). Important examples are general fields .
Dollar
The dollar (often represented by the dollar sign $) is the name of the official currency of many countries, including the United States, Canada, the Eastern Caribbean territories, Ecuador, Suriname, El Salvador, Panama, Belize, Singapore, Hong Kong, Taiwan, Brunei, East Timor, Australia, and New Zealand.Lottery
Lottery is outlawed by some governments, while others endorse it to the extent of organizing a national or state lottery. It is common to find some degree of regulation of lottery by governments. At the beginning of the 20th century, most forms of gambling, including lotteries and sweepstakes , were illegal in many countries, including the U.S.A. and most of Europe. This remained so until after World War II. In the 1960s casinos and lotteries began to appear throughout the world as a means to raise revenue in addition to taxes.Dollar
On the 15th of January, 1520, Count Hieronymus Schlick (Czech: Jeroným Šlik z Passounu) of Bohemia began minting coins known as Joachimsthaler, named for Joachimstal (modern Jáchymov in the Czech Republic), where the silver was mined. (In German, thal or tal refers to a valley or dale.) "Joachimsthaler" was later shortened in common usage to taler or thaler (same pronunciation), and this shortened word eventually found its way into Danish and Norwegian as (rigs)daler, Swedish as (riks)daler, Dutch as (rijks)daalder, Ethiopian as talari, Italian as tallero, Flemish as daelder, and into English as dollar.
The coins minted at Joachimsthal soon lent their name to other coins of similar size and weight from other places. One such example, the Dutch lion dollar, circulated throughout the Middle East and was imitated in several German and Italian cities. Carried by Dutch traders, this coin was also popular in the Dutch East Indies as well as in the Dutch New Netherland Colony (New York), and circulated throughout the Thirteen Colonies during the 17th and early 18th centuries. Some well-worn examples circulating in the Colonies were known as "dog dollars" By the mid-18th century, the lion dollar had been replaced by the Spanish "pieces of eight" which were distributed widely in the Spanish colonies in the New World and in the Philippines.
Pieces of eight (so-called because they were worth eight "reals") became known as Spanish dollars in the English-speaking world because of their similarity in size and weight to the earlier Thaler coins.
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The Eye of Providence above the pyramid is similar to the ancient Egyptian Eye of Horus , a charm, relating to the Pagan Egyptian sky-god Horus which symbolized that worshipers will be protected and given royal powers from Pagan deities .