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For a given domain Δ I and a concept C, an interpretation on Δ I maps to C a pair of subsets (not necessarily disjoints) of Δ I, in which P is the set of the elements that we know belong to C (positive information), while N is the set of the elements that we know do not belong to C (negative information).
Given a V E [ P, j], let M′ be the SNP matrix derived from M[:, j] by flipping the elements in V E [ P, j], and be the set of the elements of M that are in column l and in V E [ P, j].
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Then, setting x=T −1(s−1 N×1)/2, the set of the element of x is consecutive integer set too, and we have bar{textbf{s}}={textbf{T}^{-1}textbf{s}}=2textbf{x}+textbf{T}^{-1}textbf{1}_{Ntimes1}.
A matching is a mapping from the elements of one set to the elements of the other set.
Let be the set of all the elements of which conjugate with and let be the normaliser of P in.
Consequently, we have: Let the set of the flipped elements above be S.
Seriously, did they just walk off the set of The Fifth Element?
This illustrates the fact that the principle of abstraction implies the existence of sets the elements of which are all objects having a certain property.
A vector diagram V π of π is the set of vectors of the elements of π.
To this end we have applied the algorithm which for a given set of elements (the graph edges) generates its subset in lexicographical order.
A subalgebra of an algebra is a set of elements of the algebra closed under the operations of the algebra.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com