If local node number \(r\) is not on the boundary of the element, take \({\varphi}_i(x)\) to be the Lagrange polynomial that is 1 at the local node number \(r\) and zero at all other nodes in the element. On all other elements, \({\varphi}_i=0\).
Capital Surveyed. Tallahassee was surveyed in 1824, and the first house was built that year. Patriotism was shown in naming the streets for Monroe, Adams, Calhoun, other statesmen. A square was named for Greene, of Revolutionary fame, and another for Jackson, while the streets McCarthy, Gadsden, Bronough, and Call were named for members of Jackson's staff.
After years of border arguments, Spain finally agreed to cede the Florida Territory to the U.S. in 1819 by signing the Adams-Onis Treaty, signed by Spanish minister Luis De Otis and U.S. Secretary of State John Quincy Adams. More settlers arrived and Tallahassee became the capital.