extreme point


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extreme point

[ek′strēm ′pȯint]
(mathematics)
A maximum or minimum value of a function.
A point in a convex subset K of a vector space is called extreme if it does not lie on the interior of any line segment contained in K.
References in periodicals archive ?
The central empirical finding is that group discussion is likely to shift judgments toward a more extreme point in the direction indicated by the median of predeliberation judgments.
Suppose that S([[pi].sup.*]) has more than one extreme point, yet the cardinality of the set of extreme points is less than N.
A diversified competitive economy, and even one with the same degree of imperfection almost everywhere, finds itself on a hyperplane of dimensionality one less than the number of maximal extreme points. Any interior point is a convex combination of extreme points and can be reached by means of shifting productive factors out of one or several other activities at constant opportunity cost.
The projection method approaches the optimal solution from an interior feasible point and never visits any extreme point solution until an optimal solution is reached.
Image processing needs to be decomposed to coordinate the use of the theoretical section of its extracted extreme points and to ensure the consistency and overall trend of the BIMF decomposition characteristics of the final image.
If [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] for some c > 0 and some unbounded sequence [T.sub.n], then f is an extreme point of the unit ball S([M.sup.p]).
The number of efficient extreme point solutions to an MOLP grows rapidly with the number of objectives.
The extreme points of the class [A.sup.p.sub.n](v,[B.sub.k]) are the functions [f.sub.1](z) and [f.sub.k](z), (k [greater than or equal to] n + p, n [member of] N) as defined in the aforementioned theorem.
An extreme point in Cunningham's denigration of Vaughan is reached when she accuses him of being largely motivated in the 1879-80 public conflicts by a desire to impress Rome and advance his own career rather than to advance Church interests (p.
When they start out an extreme point, they are likely to go much further in the direction with which they started.
At the most extreme point, I thought I was going to have to pull into the threat, out of plane, to force an overshoot because of the continuing CBDR situation.

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