Problem: The set G is called the underlying set of the group (G, •). Often the group's underlying set G is used as a short name for the group (G, •). Along the same lines, shorthand expressions such as "a subset of the group G" or "an element of group G" are used when what is actually meant is "a subset of the underlying set G of the group (G, •)" or "an element of the underlying set G of the group (G, •)". Usually, it is clear from the context whether a symbol like G refers to a group or to an underlying set.
What expressions are utilized when is really implied to be a longer expression?
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Answer: shorthand expressions


Problem: Guam is served by the Antonio B. Won Pat International Airport, which is a hub for United Airlines. The island is outside the United States customs zone so Guam is responsible for establishing and operating its own customs and quarantine agency and jurisdiction. Therefore, the U.S. Customs and Border Protection only carries immigration (but not customs) functions. Since Guam is under federal immigration jurisdiction, passengers arriving directly from the United States skip immigration and proceed directly to Guam Customs and Quarantine.
Which company's planes land most often at Antonio B. Won Pat International Airport?
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Answer: unanswerable


Problem: On November 3, 2008, the European Commission at Brussels predicted for 2009 an extremely weak growth of GDP, by 0.1%, for the countries of the Eurozone (France, Germany, Italy, Belgium etc.) and even negative number for the UK (−1.0%), Ireland and Spain. On November 6, the IMF at Washington, D.C., launched numbers predicting a worldwide recession by −0.3% for 2009, averaged over the developed economies. On the same day, the Bank of England and the European Central Bank, respectively, reduced their interest rates from 4.5% down to 3%, and from 3.75% down to 3.25%. As a consequence, starting from November 2008, several countries launched large "help packages" for their economies.
How much did the European Commission estimate the GDP growth for Eurozone countries would be in 2009?
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Answer:
0.1%