Sentence examples for prove the relation from inspiring English sources

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

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

In order to prove the relation we took the block back to the tree, and placed it in the notch, and took some closeup as well as distant pictures.

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).

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

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).

Studies have proven the relation between spirituality and relief from major concerns such as anxiety, depression, pain and psychological distress in palliative care.

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