B-basis

Product A- —basis of overhead allocation Product B- —basis of overhead allocation ... 

A. Total Release (pounds/year) B. Basis of Estimate C. Prom Stormwater... 

You may report transfers of less than 1.000 pounds by checking ranges under A.1. (Do not use both A.1 and A.2) A. Total Transfers (pounds/yearl B. Basis of Estimate (enter codel C.Type of Treatment. Disposal (enter code) ... 

A-basis Also called A-allowable. It is the value above which at least 99% of the population of values is expected to fall with a confidence of 95%. See B-basis population confidence interval S-basis typical basis. 

Typical-basis The typical property value is an average value. No statistical assurance is associated with this basis. See A-basis B-basis C-basis population confidence interval. 

The superscripts AB indicate that the monomer energies are computed in the dimer basis set, AuB. The B basis in theEj calculation and the A basis in the calculation are usudly referred to as "ghost basis sets. Eq. (1) represents the uncorrected interaction energy, which subsequently will be referred to as AE" AEbsse is usually defined as the difference between AE and AE" , i.e.,... 

When calculating FE energy states along particular directions in the BZ it is often convenient to work in Cartesian coordinates, that is to use the (e basis rather than the (b basis. The matrix representation of a reciprocal lattice vector bm is... 

Figure 10 Comparison of individual (left) and average (right) density matrices in the case of a non-mutual exchange. (A) Definition of spin set or spin system (see Figure 9). (B) Basis functions (lines) and intramolecular single quantum coherences (arrows) defined by the spin set or spin system. (C) Elements corresponding to the intramolecular single quantum coherences in the density matrix.

It often happens that it is more convenient to set up the problem in a Hund s case (b) basis set, t], As v N, A, S, J, M). Using the same conventions as above, the transformation which corresponds to that given in equation (6.231) is... 

The matrix elements of the three terms in (8.179) in a case (b) basis are as follows ... 

The first term in (8.211) has the familiar form of the spin-orbit coupling operator, and we are interested in its matrix elements which are diagonal in the case (b) basis set. We first deal with the coupling of N and S to form J ... 

Both of these expressions are defined in the molecule-fixed (q = 0) coordinate system, and are expectation values over the electronic wave function for the vibronic state r. The contributions of (8.214) are included in the expressions for the first-order energies of the rotational levels given in table 8.6. There are, of course, many non-zero matrix elements in the case (b) basis, all of which are listed by Chiu [40]. 

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