Sentence examples for be expressed by linear from inspiring English sources

Thus, all of the constraints can be expressed by linear equations and linear inequalities even if the vapor-liquid equilibrium is expressed by a complicated function.

The governing equation of tubular string buckling can be expressed by linear differential equations with respect to lateral displacements.

Applying the above functions, all model parameters of Equations 1 and 2 can be expressed by linear combinations of model parameters defined for each terminal node.

The relation of two vector spaces can be expressed by linear map or linear transformation.

The freeform surface is expressed by linear combining of several basic functions to approach the freeform surface itself.

Any of the above output is a function of process parameters which are expressed by linear, curvilinear or logarithmic functions; as stated in Eqs.

Vertical component of geomagnetic variation at a site is expressed by linear combination of the two horizontal components as the equation below (Rikitake and Yokoyama 1953; Gregori and Lanzerotti 1980).

The eight vectors are expressed by linear combinations of the transform vectors in (7) that interpolate the electric field components and interpolate and extrapolate the magnetic field components for the two source polarizations in the forward part.

Association between numeric variables is expressed by linear regression.

The strength of relation between each analysing technique and CMRI reference values was expressed by linear regression analysis with Spearman correlation coefficients.

According to Equation 1, the anomalies in the different scales of the variability are expressed by linear combinations of variables that contributed the most to each component (Ortíz Bultó and Rivero 2004; Ortíz Bultó et al. 1998, 2000).