Sentence examples for substitute representation from inspiring English sources

To the extent that historians perform the historiographical operation well they give a substitute representation of the past.

Substituting this representation into the discretized version of the integral equation yields a system of non-linear ODEs.

Substituting the representation of δ x k = ∑ i ψ k (i ) a i and projecting onto the left eigenvector φ k (j ), we obtain the stochastic equations for the amplitudes d d τ a j = − j a j + ∑ k φ k (j ) x − k N s η k  .

By substituting verbal representations for potentially costly first-hand experience, narrative enables an individual to safely and efficiently acquire information pertinent to the pursuit of fitness in local habitats.

He learned to use sound not as a duplicate or substitute for visual representation but rather as a counterpoint to it.

A token is no substitute for true representation, but it is at least an acknowledgement that diversity has value.

While no app can substitute for the representation of a zealous and skilled lawyer, apps like Heat Seek NYC and the foreclosure guide help to close the "justice gap": the millions of low- and moderate-income Americans who do not have access to a lawyer to address their legal problems.

Substituting the trigonometric representation of (14) into (24) and following the same way in Section 4.1, we can prove that the initial signal phase φ does not affect the value of D′.

Most Lib Dems see AV as a poor substitute for proper proportional representation.

In '49, the Democrats put an end to proportional representation & substituted the present method of district voting, sinc then, every district except one or two has voted Democratic.

The effect compartment can then be substituted with a physiological representation of the target organ.