Sentence examples for introduce coordinates from inspiring English sources

Since the geodesics of the galaxies are orthogonal to a layer of spacelike hypersrfaces according to Weyl's Postulate, one can introduce coordinates \((x^{0}, x^{1}, x^{2}, x^{3})\) such that the spacelike hypersurfaces are given by \(x^{0} =\) constant, and the spacelike coordinates \(x^{\alpha}\) \((\alpha = 1, 2, 3)\) are constant along the geodesics of each galaxy.

To avoid chemical fixation, Verkade has developed tools to introduce coordinates on adherent cultured cells in experiments using HPF [14].

By introducing coordinates on Rn closely related to a relevant eikonal equation we obtain an eigenfunction expansion for H at high energies.

This biogeography search for a particular region is much easier in GBIF, simply by either using bounding box or introducing coordinates (latitude, longitude, altitude, and depth) in the occurrence webpage as filters.

Thirdly, using pyramid representation introduces coordinate transformation.

To eliminate these artifacts, we introduced coordinate disturbances (3 bp as the default) by adding a random number to the location of the dyads for each sliding window within the candidate region, and then we re-calculated the differences.

We introduce new coordinates to simplify the operator L (cf. [11, pp. 327 329]) that we called the Goursat coordinates.

Let's introduce the coordinates.

We introduce new coordinates in order to describe these more complicated systems in terms of generating functions.

The first step was to introduce global coordinates to the site.

Now we provide a local description of the surface M k, τ near its ends and we introduce the coordinates that we will use.