Sentence examples for with the coordinate from inspiring English sources

In 1748 Euler used equations for rotations and translations in space to transform the general quadric surfaceax2 + by2 + cz2 + dxy + exz + fyz + gx + hy + iz + j = 0 so that its principal axes coincide with the coordinate axes.

Let be endowed with the coordinate ordering, that is, and.

For cylindrical and spherical shells, the lines of principal curvature coincide with the coordinate lines.

Traditional coordinate transformation was used to compare with the coordinate precision of semi-dynamic datum.

The flow model along with the coordinate system is shown in Figure 1.

The use of structured and curvilinear meshes complies to the requirement where the grid lines align with the coordinate directions.

Thirty-four variables were then calculated on each set of cephalograms by computer image programs with the coordinate data.

The point with the coordinate of (∆ f, V = ( M/h_{c} )) corresponds to a point in the force displacement curve.

The positive directions of tool rotations α, β, and γ are shown together with the coordinate system definition.

In the first kind of flight the coordinate time t coincides with the proper time τ (in relativistic sense) then the proper functions coincide with the coordinate functions.

Combined with the coordinate change preprocessing and analog technique, neural network is used to treat the MAP of compressor and turbine in the air system.