minimal element

minimal element

[′min·ə·məl ¦el·ə·mənt]
(mathematics)
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"There was at least 'vote' as a minimal element of democracy in our country, but it also goes now," Prof Kamal lamented, agreeing with his seniors who pleaded for 'people's democracy' instead of current 'realpolitik'.
In Section 3, we shall consider the ordered set [C.sub.[phi]] with order [subset] and investigate under what conditions the ordered set [C.sub.[phi]] has a maximal element, a minimal element, the smallest element, and the largest element.
"These standards do not exist to preserve superfluous rights; they were agreed by the international community in order to preserve the most minimal element of humanity in the conduct of war," Ibn Al-Hussein said.
However, [T.sub.3] does not start with its minimal element and thus two choices are possible for e(5): we can either send 5 to the leftmost upper element in [T.sub.3] or to the leftmost lower element.
Let [max.sub.A] be the maximal element in A and let [min.sub.A] be the minimal element in A.
He said, 'We are trying to find revenues for the system that will have a minimal element of justice.
In the next step, we can remove this concept from the concept lattice C and find another minimal element, say ([X.sub.1],[g.sub.1]).
The empty set is clearly the unique minimal element of the face poset of any (nonempty) simplicial complex.
Then the set {t: b [??] [B.sup.1] ([GAMMA], [N.sub.t], [pi])} contains [pi] (recall that [N.sub.[tau]] = [GAMMA]) and therefore the set is nonempty and must have a minimal element [t.sub.0].
Because of this reason in order to avoid dynamism effect, dual means are used--punch speed is increased, or density of minimal element is changed.
In a traversal from a minimal element to a maximal element in partial order, ineffective paths (those under the lower bound of the similarity) are ignored, i.e., {[b.sub.3],[w.sub.4]}-{[b.sub.4],[w.sub.4]}, {[b.sub.2],[w.sub.4]}{[b.sub.4],[w.sub.4]}, {[b.sub.4],[w.sub.1]}-{[b.sub.4],[w.sub.4]}, and {[b.sub.4],[w.sub.2]}-{[b.sub.4],[w.sub.4]}, which should be are removed from the Hasse diagram of Fig.
4) Determine minimum unmarked elements of matrix C lines which are marked at least one element is denoted by r, s indices minimal element or one of them if there is more.

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