Symbolic programming

Too many differential equations - program returns to ISIM monitor. 103. Too many user symbols - program returns to ISIM Monitor (try breaking program into more subprograms). 

Naming conventions for variables, symbols, programs, and files Annotation/commenfing/documentation conventions Display conventions (e.g., color standards, symbologies) Provisions for adherence to modular design principles Identification of approved languages or development software Provisions for elimination of dead code ... 

Design patterns-based programming Symbolic programming... 

It would be relatively easy to extend here our computer symbolic calculations to the hyperpolarizability part of the pair polarizability [see Eqs. (5) and (7)]. However, from all our numerical computations done for N2, C02, and CF4, it results that nonlinear part of the pair polarizability has a weak influence on the resulting spectrum (for details, see Refs. 8, 13, and 15-18). Bearing in mind these results in this review, we restrict our discussion to multipolar light scattering mechanisms. Formula (22) allows us to write the following simple symbolic program in Mathematica calculating the analytical form of the autocorrelation function (16) for a selected dipole-arbitrary order multipole induction operator ... 

The result of processing rules in a symbolic programming language is not a numerical value, but a truth value, that is, true or false. In the case of true propositions, additional information can be output (c Figure 8.4). 

This recursive definition is exploited most profitably by symbolic programming. One also takes advantage of the fact that ((a")) is independent of t due to the invariance of the trace of a product of operators with respect to a cyclic permutation of their order. For examples, the first few cumulants are... 

For nonlinear decoupling schemes, the G " (w) are evaluated most conveniently by symbolic programming, and they involve polynomials of accordingly higher order of (w it/)" in their denominators. Analytic expressions are necessary for G (w) in order to take advantage of the relation [79]... 

Zambon and Qielliah (2007) also elaborated a method for the explicit, iteration-free calculation of the QSS concentrations. The method is based on modifications to the original matrix-based methods of Chen (1988) and is implemented in the Matlab coding environment utilising its symbolic programming capabilities. The method was used to develop an 18-step scheme for ethylene/air combustion from a skeletal scheme containing 31 species and 128 reversible elementary reactions, i.e. a similar level of reduction to that achieved by Lu and Law (2006c). 

Pattabiramau, K., Nakka, N., Kalbarczyk, Z., Iyer, R. SymPLFIED Symbolic program-level fault injection and error detection framework. In IEEE International Conference on Dependable Systems and Networks With FTCS and DCC, DSN 2008, pp. 472-481 (June 2008)... 

Both tensors are described in a different frame of reference the tensor is given in the laboratory frame of reference based on the plane of incidence, whereas the hyperpolarisability tensor in the molecular frame of reference defined by the symmetry of the molecule. An Euler transform relates both, leading to rather lengthy expressions between the corresponding tensor components, which are best handled and manipulated with the aid of a symbolic programming language such as Maple or Mathematica. 

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