Sentence examples for linear ordered from inspiring English sources

Using the above result, we show the Mazur-Ulam theorem on non-Archimedean n-normed spaces over linear ordered non-Archimedean fields.

The next theorem is the Mazur-Ulam theorem II in non-Archimedean n-normed spaces over a linear ordered non-Archimedean field K.

Theorem 2.10 Let X and Y be non-Archimedean n-normed spaces over a linear ordered non-Archimedean field K with C = { 2 n | n ∈ Z }.

Lemma 2.8 Let X and Y be non-Archimedean n-normed spaces over a linear ordered non-Archimedean field K and f : X → Y be an n-isometry.

Remark 2.5 Let X, Y be non-Archimedean n-normed spaces over a linear ordered non-Archimedean field K and let f : X → Y be an n-isometry.

Theorem 2.3 Let X and Y be non-Archimedean fuzzy 2-normed spaces over a linear ordered non-Archimedean field K with C = { 2 n | n ∈ Z }.

The theory Td, for example, of dense linear ordering (such as that of the rational numbers) is categorical in the countable cardinality.

This conserved linear ordering can be easily visualized by the dotted lines connecting the parental maps with the consensus map.

They define an order-preserving bicluster as a group of genes whose values induce same linear ordering across the samples in a sample subset.

Later, he determines that genes lie in a linear order on chromosomes and that their positions can be mapped.

'I don't write a book in a linear order: I write whichever bit I feel like doing.