Sentence examples for by the linear dependence from inspiring English sources
This suggestion is further supported by the linear dependence of ln σDC(T)) on V−1h(T).
Further, the SVD method can show which components are inert components because linear dependence among minerals for a set of components implies the conservation of those components through the reaction produced by the linear dependence.
It is well known that the ordinary diffusion process is intimately related to the validity of the central limit theorem, which is characterized by the linear dependence of the mean square displacement 〈 x 2 ( t ) 〉 ∼ κ t with the diffusion coefficient κ.
New indirect evidence for the existence of a mixed metal complex of the type [(Ni)(WO4)(Cit)(H ]2− was obtained by: (a) the pH dependence of the composition of the alloy and (b) by the linear dependence of the partial current density for deposition of tungsten on the calculated concentration of this complex, over a wide range of solution compositions.
The kinetics of this CMRP of MMA are first-order in monomer, as assessed by the linear dependence of ln [M]0/[ M] versus time (Figure 5 and 6), which confirms that the macroradical concentration remains essentially constant and that irreversible chain termination reactions are quite restricted.
As indicated by the linear dependence between the proximity ratio and FRET efficiency, the calibration is insensitive to this complexity.
Linearity of the proposed method was assessed by estimating the linear dependence of the obtained peak area ratios on the concentration of EBS.
The central idea of the correlation method is to find unidentifiable parameters by investigating the linear dependence of the columns of S (for details see Appendix B).
Our first measure, the structure association strength, identifies the GO terms that are strongly linked with a specific topological pattern by quantifying the linear dependence between the topology-based GO annotations and the observed GO annotations [obtained from NCBI FTP Server (Maglott et al., 2013)] using the Pearson's correlation (Fig. 2B).
When thickness of the lattice's layer greatly exceeds the Debye length, the conduction and valence edges are characterized by the linear dependences in the whole volume for the exception of thin regions in the vicinity of interfaces (Fig. 3c).
The difficulty is removed by using the consequences of the linear dependence and by an appropriate re-arrangement of variables.
