linear order

linear order

[′lin·ē·ər ′ȯr·dər]
(mathematics)
Any order < on="" a="" set="">S with the property that for any two elements a and b in S exactly one of the statements a <>b, a = b, or b <>a is true. Also known as complete order; serial order; simple order; total order.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
The findings of the study were: one-to-one correlations of NL and TL items, fixation of a specific linear order, confused time scale, and overlooking of intervening items.
Small plates for sharing is simply the degustation removed from its linear order and offered AA la carte.
[u.sub.k][u.sub.1], we say that a linear order < of V(C) respects C if it is of the form [u.sub.i] < [u.sub.i+1] < [??] < [u.sub.k] < [u.sub.1] < [u.sub.2] < [??] < [u.sub.i-1] or [u.sub.i] < [u.sub.i-1] < [??] < [u.sub.1] < [u.sub.k] < [u.sub.k-1] < [??] < [u.sub.i+1], for some i [member of] {1, ...
Finally, it is being observed that the improved Pearson's correlation proximity-based hierarchical clustering (PCPHC) model develops biological associations between genes and correlated genes identified as a linear order. The PCPH model requires that the rows in a PCPHC support Seed Augment framework and adopts an improved Pearson's correlation proximity-based model to mine patterns.
Regardless of group, all participants received arbitrary relational training trials presented in a linear order. That is, participants in the All-More group were trained on B > A, C > B, D > C, and E > D in the presence of the MORE THAN contextual cue, the All-Less group on A < B, B <C, C < D, and D <E in the presence of the LESS THAN contextual cue, and the Less-More group on A < B and B <C in the presence of the LESS THAN contextual cue and D> C and E > D in the presence of the MORE THAN contextual cue.
It seems, however, as if constructing the strict, linear order that the journalist Sethi has insisted upon somehow deprives Ashraf of a kind of freedom.
This is largely because its genome contains a large proportion of closely related sequences that are difficult to piece together into a true linear order.
Since not every student thinks sequentially, this helps those who brainstorm ideas out of linear order.
First, the term itself is an oxymoron in that the aggregate applies to conditions in which all twelve tones are found where no linear order can be identified.
Obviously the lexicographic order [??] on l(M) is a linear order on l(M).
For both boars and gilts, RR models with at least quadratic-order polynomials for random effects for DFI and at least linear order for BW had smaller PRESS statistics than the individual pig models.

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