instill
发表于 2025-3-28 17:29:21
Standard Optimization Problemshen “best” can be assessed numerically, then this assessment may be regarded as a real valued function of the method under consideration which is to be optimized — either maximized or minimized. We are interested not only in the optimum values which can be achieved, but also in the method (or methods) which can produce these values.
意外
发表于 2025-3-28 20:54:19
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evince
发表于 2025-3-28 23:01:02
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Brochure
发表于 2025-3-29 05:56:06
The Euler-Lagrange EquationsAlthough Jakob Bernoulli’s solution of 1696 to his brother Johann’s problem of the brachistochrone (§1.2) marked the introduction of variational considerations, it was not until the work of Euler (c. 1742) and Lagrange (1755) that the systematic theory now known as the calculus of variations emerged.
Criteria
发表于 2025-3-29 07:33:57
Sufficient Conditions for a MinimumAs we have noted repeatedly, the equations of Euler-Lagrange are necessary but not sufficient to characterize a minimum value for the integral function
Assault
发表于 2025-3-29 15:10:55
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