Sentence examples for proved the relation from inspiring English sources

A number of previous studies proved the relation between natural organic matter and arsenic distribution in soil and sediments.

To our knowledge, this is the first reported study to have proved the relation between green tea consumption and incident risk of functional disability.

But, he adds, the study doesn't prove the relation between warming and emission of "greenhouse gases".

He proves the relation between SVD and PCA in that ULA{prime}=X{sumlimits_{x=1}^{p}}a_{k}a{prime}_{k}=X (6).

A roughness-induced shielding effect has been quantified to prove the relation between fracture toughness and fracture surface roughness.

We prove the relation in (25) for i=1; the proof for general i involves steps similar to those in the proof of the i=1 case.

These facts yield (24). Analogously one can prove the relation (ellPhi x, lambda) = lambdaPhi x, lambda)) for the matrix function (Phi x, lambda)) constructed via (19).

end{aligned} (24)We must prove the relation begin{aligned} sum ^m_{j=2i+1}alpha '_jH_{l_i}a_j=0, end{aligned} (25)implies that (alpha '_j=0), for (jge 2i+1).

A lack of formal planning was the most commonly cited factor in the literature as the contributor with the small businesses mortality, despite studies about the initial stages of the OLC not proving the relation between lack of formal planning and the closure of small businesses (Churchill and Lewis 1983; O' Neill et al. 1987; Quinn and Cameron 1983; Scott and Bruce 1987).

This paper is the first that explicitly analyzes and statistically proves the relations among storage, batching, zoning, and routing by a full factorial ANOVA.

Finally, we proved the linear relation between the deposit thickness and the fouling resistance for each series of the exchanger battery.