By defining the stiffness component as the ratio of infinitesimal load increment to infinitesimal increase in length, explicit entries of the tangent stiffness matrix are derived through equating the total differentiation of the strained length and the elastic elongation of the cable.
The method of derivation is based on the total differential scheme and then takes its partial differentiation accordingly.
Here (D_{x}) is the operator of total differentiation with respect to x: (D_{x}g(n,x =(d/dx g(n,x)).
In turn, this suggests that it is natural to introduce two constitutive equations instead of one for describing completely the behavior of a material, provided it can be proved that the two equations are equivalent to the one produced by the differentiation of the total strain energy density with respect to the strains.
A minor proportion of the total cell population expressed the differentiation markers GalCer (0.93±0.05%; pre-myelinating oligodendrocytes; not shown), GFAP (astroglia; 2.27±0.54%; Fig. 1I), β-tubulin III and PSA-NCAM (3.01±1.10%; neurons; Fig. 1J,J').
In general, it is a comparative static model based on total differentiation of a system of equations but manipulated to be expressed in terms of elasticities rather than slopes.
The monitoring of first and second order transitions in thin polymeric films is based on detectable differentiations of the total energy of a fixed wavelength laser beam incident almost vertically (angle of incidence <5°) onto a thin polymeric film spin coated on a flat reflective substrate.
When landraces were compared to improved varieties using analysis of molecular variance (AMOVA), only 8.17% (P value < 0.0001) of the total genetic variance was due to differentiation between landraces and improved varieties.
An initial analysis of the neuronal phenotypes generated by T-IhNSCs showed that, fourteen days following the onset of differentiation, most of the total βIII-tub-IR cells co-labelled with the anti-GABA antibody (Fig. 5C).
The number of morphologically distinct cells that appeared in the cultures at this time point was approximately 1×104 per 60-mm dish, which is approximately 1.4% of the total cell population (7×105 cells) undergoing differentiation.
