Roots function and

The enhancing effect of NaCl on Cd uptake was due to chloride complexation of Cd (Smolders et al., 1998). High salinity in soils increased the concentrations of chloride complexes of trace elements (such as CdCl or CdCl2°) in soil solution, which increased and correlated best with Cd uptake of both plant species as discussed above. In addition, salinity also affected plant root function, and Na competition with Cd for sorption sites in soil may be a possible contributor. 

Neumann G, Massonneau A, Langlade N, Dinkelaker B, Hengeler C, Romheld V, Martinoia E (2000) Physiological aspects of cluster root function and development in phosphorus-deficient white lupin (Lupinus albus L.). Ann Bot 85 909-919. doi http //aob.oxfordjournals.org/cgi/ content/abstract/85/6/909... 

In this section we present the extended geminal (EXGEM) ansatz, discuss the choice of root function, and comment on numerical models, i.e. different approximations to the full configuration interaction (FCI) equations defining the terms in the general EXGEM model. 

There are a number of important differences between single-determinant root functions and multiconfigurational root functions. One of the most important is that a one-electron operator cannot in general have a multiconfigurational Pg as an eigenfunction. Consider first the ordinary Mpller-Plesset perturbation series The Hq operator is chosen to be Hq = F, the Fock operator of Hartree-Fock theory. The orbitals are usually chosen to diagonalize F. The solution of the perturbation... 

HALS parameterisation was necessary, as the 3D components (hats) were provided with higher HALS stabilisation than the plates for lab investigations. In literature, different approaches can be found. Gugumus studied HALS efficiency [7] and suggested a linear approach for PP, whereas he found square root dependence for PE. However, both assumptions were related to bulk properties, whereas here crack formation as a surface-related property is observed. Therefore, generalising, a power function fit is chosen. With its finite value at zero stabilisation, also an exponential fit could make sense. Thus, the three data points were fitted to a power function, a square root function, and an exponential function as well. Also for these fittings, least squares method was used. 

Interchanging u, u merely inverts the square root function and changes the sign, leaving the overall value unchanged. Adding gives that... 

First we consider some general properties of the Cl expansion (9.1.3), in which 00 is a single-determinant root function and the other functions 0 are taken to be single determinants with single, double and multiple excitations from the occupied orbitals of 0o (namely i,j,...) to a complementary set of virtual orbitals (m, n,...). This expansion is in principle exact (Section 3.1), and may evidently be written... 

This method has very little other than its simplicity to recommend it in the form just described. But when a binary base is used, the corresponding procedure is to bisect the interval successively. Each bisection determines one additional binary digit to the approximation, it requires only the evaluation of the function, and the method is often efficient and accurate. The principle is used by Givens (Section 2.3) in finding the roots of a tridiagonal symmetric matrix. 

Given that, from the penetration theory for mass transfer across an interface, the instantaneous rale ol mass transfer is inversely proportional to the square root of the time of exposure, obtain a relationship between exposure lime in the Higbie mode and surface renewal rate in the Danckwerts model which will give the same average mass transfer rate. The age distribution function and average mass transfer rate from the Danckwerts theory must be deri ved from first principles. 

Root development and function. Edited by P.J. Gregory, J.V. Lake and D.A. Rose... 

R. Scott Russell, Plant-Root System Their Functions and Interactions with Soil. McGraw-Hill, London, 1977. 

M. C. Drew, Root function, development, growth and mineral nutrition. The Rhizo-spbere (J. M. Lynch, ed.), John Wiley, Chichester, 1990, p. 35. 

M. C. Drew and J. M. Lynch, Soil anaerobiosis, micro-organisms and root function. Annual Review of Phytopathology IS 31 (1980). 

H. Lambers. Growth, respiration, exudation and symbiotic as.stx iations the fate of carbon translocated to the roots. Root Development and Function (P. J. Gregory, J. V. Lake, and D. A. Rose, eds.), Cambridge University Pre.ss, London, 1987, p. 125. 

H. F. Bienfait, Regulated redox proces.ses at the plasmalemma of plant root cells and their function in iron uptake. J. Bioenerg. Biomemhr. 17 13 (1985). 

M. van Noordwijk, P. Martikainen, P. Bottner, E. Cuevas, C. Rouland, and S. S. Dhillion, Global change and root function. Global Change Biol. 4 759 (1998). 

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