Sentence examples for preserving collinearity from inspiring English sources

A natural question is whether the 2-isometry in the fuzzy 2-normed linear spaces is also affine without the condition of preserving collinearity.

In [14], Chu proved that the Mazur-Ulam theorem holds in linear 2-normed spaces under the condition that a 2-isometry preserves collinearity.

We present algorithms that preserve the collinearity and coplanarity relationships among point sets in three dimensions.

Predictor variables that were highly correlated were not entered together in the model to preserve for collinearity problems.

It is well known that an affine transform preserves the collinearity of points, and also the ratios of the distances of distinct points on a line.

There were 1,217 collinear gene pairs, preserving 53.48% of the Arabidopsis genome with collinearity (Table  1).

Since the n-isometry f preserves the 2-collinearity, f ( x 0 ), f ( x 0 + x 1 2 ), f ( x 1 ) are 2-collinear.

One can show that the n-isometry f from X to Y preserves the 2-collinearity using a similar method to that in [[22], Lemma 3.2].

Desargues observed that neither size nor shape is generally preserved in projections, but collinearity is, and he provided an example, possibly useful to artists, in images of triangles seen from different points of view.

Preserving it requires work.

But preserving historical architecture?