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A two-dimensional Poincaré section of the forced Duffing equation. In mathematics, particularly in dynamical systems, a first recurrence map or Poincaré map, named after Henri Poincaré, is the intersection of a periodic orbit in the state space of a continuous dynamical system with a certain lower-dimensional subspace, called the Poincaré section, transversal to the flow of the system.
Relative to north, the directions east, south, and west are at 90 degree intervals in the clockwise direction. The ordinal directions (also called the intercardinal directions) are northeast (NE), southeast (SE), southwest (SW), and northwest (NW). The intermediate direction of every set of intercardinal and cardinal direction is called a ...
Pennsylvania Route 309 (PA 309) is a state highway that runs for 134 miles (216 km) through eastern Pennsylvania.The route runs from an interchange between PA 611 and Cheltenham Avenue on the border of Philadelphia and Cheltenham Township north to an intersection with PA 29 in Bowman Creek, a village in Monroe Township in Wyoming County.
U.S. Route 301 (US 301) is a part of the U.S. Highway System that runs from Sarasota, Florida, to Biddles Corner, Delaware.In Virginia, the U.S. Highway runs 142.70 miles (229.65 km) from the North Carolina state line near Skippers north to the Maryland state line at the Potomac River near Dahlgren.
A Rand McNally map appended to the 1914 edition of The New Student's Reference Work. Rand McNally was the first major map publisher to embrace a system of numbered highways. One of its cartographers, John Brink, invented a system that was first published in 1917 on a map of Peoria, Illinois. In addition to creating maps with numbered roads ...
A bilinear map is a function: such that for all , the map (,) is a linear map from to , and for all , the map (,) is a linear map from to . In other words, when we hold the first entry of the bilinear map fixed while letting the second entry vary, the result is a linear operator, and similarly for when we hold the second entry fixed.
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