Taking the infimum over all possible reparametrizations of [ 0, 1 ] corresponds to choosing the walk along the given paths where the maximum leash length is minimized.
42.
Provided that the functions f and g _ 1, \ ldots, g _ m are continuously differentiable, the infimum occurs where the gradient is equal to zero.
43.
All completeness properties are described along a similar scheme : one describes a certain class of subsets of a partially ordered set that are required to have a supremum or infimum.
44.
The dual function " g " is concave, even when the initial problem is not convex, because it is a point-wise infimum of affine functions.
45.
The " optimal lower bound " is the supremum of all lower bounds and the " optimal upper bound " is the infimum of all upper bounds.
46.
H ( \ rho ) of R under \ rho to be the infimum of the length of all possible paths connecting the inner boundary of R to the outer boundary.
47.
Paman presents in his book the concepts of " minimaius " and " maximinus ", a far antecedent of the mathematical concepts of infimum and supremum.
48.
In this case, this infimum is the smallest time at which is on the boundary of rather than being equal to one of two discrete values, assuming is within.
49.
The limits \ infty and-\ infty are allowed, but they do not represent valid values for the index, only the supremum or infimum of such values, respectively.
50.
Write " C " 0 for the linear subspace consisting only of those functions that take the value zero at the infimum of the set " E ".
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