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The fundamental equations, governing all the variables of the initial boundary value problem in fully dynamic magneto-electro-elasticity with geometrical nonlinearity, are expressed in covariant differential form.
Multicollinearity between the variables of the initial regression models was tested to ensure that variables were not redundant.
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The corresponding dual problem represents the influence of the local variable on the initial problem and may be related to the reciprocal theorem of Betti Maxwell.
Of course, it is necessary to note that despite other three variables, the variable of the initial concentration of TC has a negative effect on the response (−31.59).
These plots indicate that of four main effects, only the variable of the initial concentration of TC has a negative effect on response (x%); effects of other variables on response were positive.
For example, in order to reach maximum degradation (x% = 97.39) the variables of pH, the initial concentration of TC, catalyst concentration and H2O2 concentration should be at levels of +1 8), −1 30 ppm), +1(150 ppm) and −1 0.1 ppm), respectively.
Each model included the independent variables: year of the initial diagnosis, patient's age, primary surgical therapy, tumour stage, receipt of previous chemotherapy and/or postoperative radiation, and location of follow-up (the latter only in the non-adherence model).
Each factor that was assumed to be adversely related to health was associated with higher scores for each of the four symtoms in the crude analyses, but after mutual adjustment for other potentially explanatory variables, most of the initial associations were fully attenuated.
As can be seen from these results, it is the only interaction of variables, namely the initial concentration of TC and the catalyst concentration which have positive effects (3.10).
There was no statistically significant association between the scores of the KTQ dimensions and the variables of "initial dysfunction of the graft", "acute rejection" and "surgical problems associated to the kidney transplant".
Integrating this using separation of variables and the initial condition μ ( 0 ) = μ 0, we find μ ( t ) = w − α A e ( α − w ) t + w where A = μ 0 w − w μ 0 − α. (18).
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com