applications of the calculus of variationsの例文
- Historically, the idea of finding the shortest path a particle can follow subject to a force motivated the first applications of the calculus of variations to mechanical problems, such as the Brachistochrone problem solved by Jean Bernoulli in 1696, as well as Hamilton, and others.
- This significant paper was published in " The Economic Journal ", and involved " a strategically beautiful application of the calculus of variations " ( Paul Samuelson ) to determine the optimal amount an economy should invest ( save ) rather than consume so as to maximise future utility, or in Ramsey's words " how much of its income should a nation save ? " ( Ramsey, 1928 ).
