The feature feature selection enforces the similarity relationship between features to be preserved in the coefficient matrix while the sample sample relation is designed to preserve the relation between samples invariant in the predicted space.
26 This is to preserve the relation between the distance measure, Morgan, and change in the genotypes.
A symmetric order-preserving cryptography scheme preserves the order relation among the encrypted values [20]: for all i and j and for all keys k, E k,i <E k,j) ⇔ i<j.
We know that F is monotone (it preserves the subset relation on sets), and it is not hard to check a slightly stronger property: F preserves inclusion maps between classes: An inclusion is a map ia, b : a → b on classes which "doesn't do anything": a must be a subset of b, and for all x ∈ a, i(x) = x.
In some cases, for example, when dealing with monophonic audio signals, a uniform frequency mapping may be more useful than a nonuniform mapping such as the warping operation described in Section 4.4, since it preserves the harmonic relation between the tonal components.
Note that in this interpretation a Boolean function f is cooperative, which can be defined as preserving the coordinatewise partial order, if and only if it preserves the subset relation, that is, A s → ⊆ A s → ∗ implies A f ( s → ) ⊆ A f ( s → ∗ ).
One of his reasons to replace the notion of truth with that of "rightness of symbolic function", the notion of certainty with that of "adoption", and the notion of knowledge with that of understanding is the thought that the new system of concepts preserves the structural relations of the old without preserving the philosophical puzzles related to truth, certainty and knowledge (RP: chapter X).
It preserves the linear dispersion relation of the free Weyl equation for wave vectors aligned with the grid and facilitates the implementation of open (absorbing) boundary conditions via an imaginary potential term.
Non-cognitivists have developed various ingenious strategies for constructing a theory that preserves the intuitive logical relations between normative attitudes, non-normative attitudes and various mixed attitudes, along with the sentences that express them.
