Consider x ^ *, \ lambda ^ *, \ rho ^ * that find a local minimum using the Karush Kuhn Tucker conditions above.
42.
The potential-energy due to gravity, plus the potential energy due to the magnetic field, result in a local minimum of energy at that location.
43.
An acnode is a critical point, or negative definite, since the function must have a local minimum or a local maximum at the singularity.
44.
For example, the inverse of a cubic function with a local maximum and a local minimum has three branches ( see the adjacent picture ).
45.
Workers at the plant make an average of 291 pesos ( US $ 25, euro20 ) a day, more than seven times local minimum wage.
46.
While a local minimum is at least as good as any nearby points, a global minimum is at least as good as every feasible point.
47.
Minimizing the cost function in Equation ( ) necessarily decreases the negative log-likelihood function in Equation ( ) unless it is already at a local minimum.
48.
Other typical problems of the back-propagation algorithm are the speed of convergence and the possibility of ending up in a local minimum of the error function.
49.
Sound velocity in the ocean varies with depth due to changes in density and temperature, reaching a local minimum near a depth of 800 1000 meters.
50.
Suppose that \ displaystyle x _ 0 is a local maximum ( a similar proof applies if \ displaystyle x _ 0 is a local minimum ).
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