Coordination definition

ANS1/1EEE13I, 5.1/1996 Insulation Coordination. Definitions, Principles. and Rules ANSI/IEEE-l/1992... 

Insulation coordination. Definitions, principles and rules 2165-1/1991 Insulation coordination BSEN 60071-/1996 -... 

Voltage ratings for a.c. electrical systems and equipment above 230 kV Insulation coordination, definitions, principles and rules... 

ANSI/IEEE 1313.1/1996 Insulation coordination, definitions. Principles and Rules ... 

The rotational coordinates are Q 2 and Q 5. The rotational motion can be visualized by mapping the trough onto the surface of a 2D sphere the rotation is governed by the usual polar coordinate definitions, 6 and . This is also shown in equation (7) which has the usual form for a rotator with spherical harmonic solutions Ylm. The solutions will be written in the form I i//lo, hn ). For the high spin states case, it was found that l must be odd in order to obey the Pauli s exclusion principle and preserve the antisymmetric nature of the total wavefunctions at any point on the trough under symmetric operations [26]. In the current case, similar arguments show that l must be even. This is because the electronic basis is even under inversion and the whole vibronic wavefunction must also be even under inversion. A general mathematical proof can be found in Ref. [23],... 

Figure 5. Representation of the geometry of a cation in site E, illustrating the internal coordinate definitions used in the frequency and intensity calculations.

In the context of association reactions, an algorithm in which the reaction coordinate definition is optimized along with the dividing surface along a one-parameter sequence of paths is called variable reaction coordinate (VRC) variational transition state theory... 

Another problem that can occur during the course of a minimization in redundant internal coordinates is the internal forces being reported as infinity or undefined [126]. As discussed in Section 10.2.3, the energy derivatives are typically computed in Cartesian coordinates and later converted to internals using Eq. (10). If the redundant internal coordinate definitions become ill defined and/or include linear dependences, then the conversion of forces and Hessians to internal coordinates can become problematic. The easy fix to this problem begins by inspecting the latest structure in the optimization using visualization software to ensure that the structure is reasonable. If all is well, start... 

The coordinate system choice is also important in TS optimization. As with minimization, redundant internal coordinates have been shown to be the best choice for TS optimization [52]. Table 10.5 compares the number of optimization steps required for convergence using the three-structure STQN method with Z-matrix and redundant internal coordinates. Clearly, redundant internals work best. In Section 10.3.5.2, we advised that users check the redundant internal coordinate definitions to ensure all of... 

Coordinate System Coordinates Definitions Vertical Windspeed Vertical Eddy Diffusivity... 

These conditions do not specify connectibility. To introduce connectibility, Nagel introduces, in addition to the formal requirements, the notion of coordinating definitions (which, for clarity, we will call reduction postulates in the remainder of this paper) as an additional assumption. The reduction postulates stipulate a sort of translation manual through... 

The links are conventions or coordinating definitions, created by delibtaate fiat , which assigns a meaning to the term A in terms of the primary scitaice, subject to a criterion of consistency with other assignments. 

A condition of derivabUity which states that the laws or theories of the reduced science are logical consequences of the theoretical premises and coordinating definitions of the reducing science. 

The basic idea is simple A theory Tr reduces to a theory Tr iff Tr is derivable from Tb plus the relevant bridge laws (here labeled coordinating definitions ), if any, with the contention that often, theory reduction is carried out by reduction of the theory s laws. If we add the remarks Nagel opened his discussion with - namely, that reduction has to be understood as a certain kind of explanation (Nagel 1961, 338) - the core idea of the Nagel model is fully characterized. Reduction is (i) a kind of explanation relation, which (ii) holds between two theories iff (iii) one of these theories is derivable from the other, maybe under specific conditions, with (iv) the help of bridge-laws. Building on this sketch, we can easily illustrate the... 

Figure 1 Quantum model. studied and coordinates definition (from Ref 30)...

Coordinate definitions, Lg and P matrices for H2O used in evaluating the atomic polar tensor elements are as given in section 3.3. With the aid of relation (4.14) die Pg matrix is transformed into vibrational polar tensor, while the rotational polar tensor is calculated using a permanent dipole moment value of-1.85 D [34]. The two submatrices obtained are as follows (in units of D A l) ... 

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