Sentence examples for formulation by assuming from inspiring English sources

The Jacobian matrix of the LM formulation can be derived from the Jacobian of the PL formulation by assuming k → ∞, as (A.11) J λ = A B B ^ 0, where the 0 block matrix results in a non-positive definite Jacobian matrix which may cause numerical difficulties.

For reinforced concrete columns, this simplified formulation is obtained by assuming an elastic-perfectly plastic behavior of the reinforcing steel and the parabola-rectangular strain-stress relation for the concrete in compression.

Missing 6-month data were replaced with their baseline values using the 'no change' formulation of intention-to-treat by assuming that no change occurred between baseline and 6 months.

Strictly speaking, the formulation is in the reference placement; however, by assuming small deformations we refrain from distinguishing between reference and current placement.

The original model formulation is here of fact extended for upstream discharge estimate by assuming the flow known at a downstream site and stages measured at both ends.

We tested the sensitivity of the results to different cost function formulations by weighting the six latitude bands by area fraction and by assuming a t distribution for errors.

The formulation can then be extended for all of the M topics of interest by assuming the process behaves the same for all m.

The best fit for experimental data was made by assuming a reaction between divalent CMCD2− and Pb2+ and using the WATEQ activity coefficient formulation.

This relational interpretation later was challenged by theorists who offered a formulation to show, on the basis of principles of stimulus generalization, how a response to a relational stimulus could be explained by assuming that organisms do indeed respond to the absolute properties of the stimuli.

In this work, we derive a Bayesian probabilistic formulation of a weighting function that is near-optimal in the MSE sense (or SNR sense) of the reconstructed HDR image, by assuming exponentially distributed irradiance values.

By assuming [111] as a risk haplotype (labelled by A) and all the others as non-risk haplotypes (labelled by A̅), Table 2 provides the formulation of genotypic values for three composite diplotypes, μ2 for AA, μ1 for AA̅ and μ0 for A̅A̅.