Harmonic set

Vermeire et al. (1999) have published a discussion paper with focus on assessment factors for human health risk assessment. The status quo with regard to assessment factors is reviewed and the paper discusses the development of a formal, harmonized set of assessment factors. Options are presented for a set of default values and probabilistic distributions for assessment factors based on the state of the art. Methods of combining default values or probabUistic distributions of assessment factors (Section 5.11) are also described. In relation to assessment factors, the authors recommended ... 

Also under the IPCS harmonization project, a working group is preparing a harmonized set of principles for the treatment of uncertainty in exposure assessment. The document will review the types of uncertainty analyses used in exposure assessments, evaluate their effectiveness in giving decision-makers the types of information they need, and derive a set of principles for uncertainty analysis (WHO/IPCS 2006). 

Any dipole has a scalar potential between its ends, as is well known. Extending earlier work by Stoney [23], in 1903 Whittaker [8] showed that the scalar potential decomposes into—and identically is—a harmonic set of bidirectional longitudinal EM wavepairs. Each wavepair is comprised of a longitudinal EM wave (LEMW) and its phase conjugate LEMW replica. Hence the formation of the dipole actually initiates the ongoing production of a harmonic set of such biwaves in 4-space (see Section III.A.l). 

Each little composite dipole also has a scalar potential between its ends. We may decompose that potential into a harmonic set of bidirectional EM longitudinal wave (LW) pairs [8], where each pair consists of an outgoing LW and an incoming LW. Now, however, the incoming (convergent) LWs are virtual i.e., comprised of organization and dynamics in the virtual flux of the vacuum [9(a)]. 

T. Whittaker, Math. Ann. 57, 333-355 (1903) (an excellent paper which decomposes the scalar potential into a harmonic set of bi-directional phase conjugate longitudinal wavepairs). 

Figure 1 graphically shows Whittaker s decomposition [1] of the scalar potential into a harmonic set of phase conjugate longitudinal EM wavepairs. The 3-symmetry of EM energy flow is broken [16,20] by the dipolarity of the potential, and 4-symmetry in energy flow without 3-flow symmetry is implemented [1,16]. 

Figure 1. The scalar potential is a harmonic set of phase conjugate longitudinal EM waves.

Reordering is into form of Whittaker harmonic set of bidirectional EM longitudinal wavepairs. Reordering is totally deterministic. 

Pitch estimation is performed using a sine-wave based approach [McAulay and Quatieri, 1990]. A fundamental frequency is obtained such that a harmonic set of sine waves is a best fit to the measured set of sine waves. The accuracy of the harmonic fit becomes a measure of the degree to which the analyzed waveform segment is periodic i.e., a measure of harmonicity . 

Integral to the tiered approach is the concept of negligible exposure . Many jurisdictions will waive the requirement for a quantitative exposure and risk assessment, on a case-by-case basis, citing negligible exposure. Clear guidance on what constitutes negligible exposure is not available and a harmonized set of criteria for making this determination is required. 

When the sixfold d-orbital is employed, reduction to the usual fivefold spherical harmonic set also gives a 3s exponent. When this exponent (0.435) is incorporated into the atomic set. the total energy of the sulfur atom is somewhat improved, being -397.1520 a.u. 

It is also noticeable that, in spite of the monomiail sets of d functions being larger than the conventional cubic harmonic sets, there are in these examples... 

At present, complete harmonization of MRLs across the European Union (EU) member states has not yet been accomplished. Thus, most regulation of pesticide residues in food is based on MRLs established by national legislation in each member state. These un-harmonized MRLs may reflect different GAP and thus may differ between members. A program for creation of a harmonized set of EU... 

On the special line h the points A, D and B, E coincide at the two diagonal points of PQRS, while PC and QF intersect at the third diagonal point. The quadrangular set Q —> Q ABC, ABF) = H AB,CF), in this case, is known as an harmonic set, with cross ratio ... 

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