Sentence examples for is equivalent to demonstrating from inspiring English sources

We note that the formation of bands in the model (4) is equivalent to demonstrating the existence of the converging travelling wave solutions (U z)) and (V z)).

Because Problem III is a linear equation about unknown function ϖ, to prove the existence and uniqueness of solutions of Problem III is equivalent to demonstrating that it has only a zero solution when (g=f=u_{0}=0).

Blum et al.'s result is equivalent to demonstrating that all functions over denumerable domains — including the uncountably many functions that are not Turing-computable — are computable by Blum et al.'s "computing" systems, which are allowed to manipulate the exact values of arbitrary real numbers.

We also note that neither observing behavioural variation in root responses to neighbours, nor modelling fitness differentials associated with different behavioural types is equivalent to demonstrating these behaviours are adaptive.

First, de novo protein design has complicated the assertion that biological function is equivalent to biological structure — demonstrating the capacity to abstract active sites from natural contexts and paste them into non-native topologies without loss of function.

State-of-the-art MRI using breath-hold imaging sequences, a phased-array torso coil and dynamic gadolinium enhancement is equivalent to CT for demonstrating small pancreatic carcinomas and providing accurate staging information[ 22].

The 2 2.7% annual risk demonstrated is equivalent to the highest risk in a 10-year period (23% BRCA1; 30% BRCA2-Table 3).

In [ 5], they claimed to have demonstrated " S is equivalent to H", and " S is completely determined from the [Shannon] entropy".

It demonstrates that principle component analysis (PCA) can be employed to solve such problems and demonstrates that this is equivalent to the methods based on total least squares (TLS).

A randomised trial has demonstrated that oxaliplatin is equivalent to cisplatin in the treatment of advanced gastro-oesophageal adenocarcinoma (Cunningham et al, 2008).

Additional experiments demonstrated that GMAP is equivalent to similar microarray-based products when used for deconvolution of open reading frame over-expression screens.