Calculus of Variations: Supplementary Notes and Exercises to 1945-1946 Notes, at New York University1950 - Calculus of variations - 202 pages |
Common terms and phrases
according admissible functions angle applied arbitrary assumed bound boundary calculated called circle clear clearly close connection considered constant continuous converges coordinate system course curve defined denoted depend derivatives differential direction disk displacement equal Euler expression Euler's equation example exists extremizing fact Figure follows given gradient inner product integral integrand interior invariance joining least length limit lower matrix means minimizing minimum problem n-dimensional necessary condition notation Notes obtained original parameter partial derivatives path plane polar coordinates polygonal path positive possible problem proof proved quantity reasoning region relation represents respect result rule satisfying satisfying the side seen sequence shorter shortest shown side condition simplified simply solution solved space spherical straight line segment surface theorem transformed vanishing variable vector zero