The v. in Supreme Court cases stands for the word versus. For example Roe v. Wade spelled out would say Roe versus Wade. But cases are never witten as such. "versus' is Latin for "against".
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Abrams v. U.S. and Schenck v. U.S.
The Supreme Court is the highest court in the United States. As such, the Supreme Court is primarily an appellate court, hearing cases appealed from the Federal "Circuit Courts" on a discretionary basis. According to the Constitution, the Supreme Court may exercise original jurisdiction (similar to a trial-level court) over a very small range of cases: cases affecting ambassadors or diplomats, and cases in which a state is a party (this was part of the battle in Marbury v. Madison). However, this too is discretionary, which makes the Supreme Court in all cases unlike a trial level court (which has mandatory jurisdiction).
What does the supreme court case burns v. reed do?
Gibbons v. Ogden
The U.S. Supreme Court has original jurisdiction over all cases between two states. The most recent was <a href="http://www.oyez.org/cases/2000-2009/2000/2000_130_orig">New Hampshire v. Maine</a> in 2001. The Supreme Court has another case-between-states, <i>South Carolina v. North Carolina</i>, scheduled for argument in October 2009.