Problem: A German ethnicity emerged in the course of the Middle Ages, ultimately as a result of the formation of the kingdom of Germany within East Francia and later the Holy Roman Empire, beginning in the 9th century. The process was gradual and lacked any clear definition, and the use of exonyms designating "the Germans" develops only during the High Middle Ages. The title of rex teutonicum "King of the Germans" is first used in the late 11th century, by the chancery of Pope Gregory VII, to describe the future Holy Roman Emperor of the German Nation Henry IV. Natively, the term ein diutscher ("a German") is used for the people of Germany from the 12th century.
When is ein diutscher first used?
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Answer: 12th century

Problem: Comcast sold Comcast Cellular to SBC Communications in 1999 for $400 million, releasing them from $1.27 billion in debt. Comcast acquired Greater Philadelphia Cablevision in 1999. In March 1999, Comcast offered to buy MediaOne for $60 billion. However, MediaOne decided to accept AT&T Corporation's offer of $62 billion instead. Comcast University started in 1999 as well as Comcast Interactive Capital Group to make technology and Internet related investments taking its first investment in VeriSign.
How much was ComCast Cellular sold for in 1999?
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Answer: $400 million

Problem: So an additional problem beyond canceling the unwanted reactance is of matching the remaining resistive impedance to the characteristic impedance of the transmission line. In principle this can always be done with a transformer, however the turns ratio of a transformer is not adjustable. A general matching network with at least two adjustments can be made to correct both components of impedance. Matching networks using discrete inductors and capacitors will have losses associated with those components, and will have power restrictions when used for transmitting. Avoiding these difficulties, commercial antennas are generally designed with fixed matching elements or feeding strategies to get an approximate match to standard coax, such as 50 or 75 Ohms. Antennas based on the dipole (rather than vertical antennas) should include a balun in between the transmission line and antenna element, which may be integrated into any such matching network.
What is included between the transmission line and the antenna element?
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Answer:
balun