Argument dummy

A reserved variable, or a dummy argument of a function, or a variable set by an earlier CONSTANT statement has been redefined as an array. 

A dummy argument or a function name appears twice in a subprogram definition statement. 

Subroutine or function dummy argument cannot be set in a CONSTANT statement. 

A trace over coordinate x is indicated by connecting the line labeled n to the line labeled n. The labels n and n are then deleted, since these coordinates become a single dummy integration variable. Diagrammatically, this creates a loop in the case that both x and x are arguments of the same cumulant. As an example, we apply tr3 to Fq. (43) to obtain... 

Equation (26) involves the dummy variable t which will disappear on integration. Analagous arguments enable the convolution integral of eqn. (26) to be expressed in the alternative form. 

Results from these experimental runs were used as x, q data records to fit the parameters of six ANNs. In the experimental effort, a different feedforward ANN was used after each intermediate secondary measurement was obtained in the simulation-based effort, only one ANN accommodates all secondary measurements, and averaged dummy inputs are used for those secondary measurements not yet obtained. In addition in the experimental effort, a different ANN was used for final thickness and final void content predictions in the simulation-based effort, one ANN was used to predict both final thickness and final void content. The advantage of using one ANN to predict all values of q is that the parameters of only one ANN need be fitted. Fitting the parameters of an ANN for each variable in q is much more time-consuming. The disadvantage, however, is that the parameters A and abias are the same for each variable in q when just one ANN is used as an on-line model. When a different ANN is used for each variable in q, the parameters in A and abias are unique for each of those output variables, which results in increased on-line prediction accuracy. Similar speed-versus-accuracy arguments apply to the choice of one ANN for all secondary measurements versus an ANN for each secondary measurement. 

If you type the function name in a worksheet cell and then press CONTROL+SHIFT+A, Excel will paste dummy arguments, called placeholder arguments, and add the closing parenthesis. For example, after entering =LINEST, press CONTROL+SHIFT+A. The function will be completed and will appear as follows ... 

Figure 5,10 FLOWTRAN Subroutine for a Pump Block. The dummy arguments of the subroutine are (1) F and B, the feed and effluent stream vectors containing stream flow information (2) the equipment paramenter vector, R, which contains the outlet pressure and (3) the retention vector, R, which contains the flowrate, pressure increase, fluid Hp, pump efficiency, brake Hp, motor efficiency, and electrical power in kilowatts, all of which are to be printed out. From Seader, I. D., W. D. Seider, and A. C. Pauls, Flowtran Simulation An Introduction 3rd ed., CACHE, Austin, TX (1987).

In the next section we first introduce the main ingredients of a FT by mimicking as far as possible what is done in QFT. To be illustrative, in Sec. 3 we show how it is possible to derive the virial expression for the pressure in a FT. In Sec. 4 we show that we have at our disposal some relations between field-field correlation functions that are obtained from symmetry arguments or from the fact that fields are dummy variables. In Sec. 5 on two examples, we derive some results starting from Dyson-like equations. Finally, in Sec. 6, leaving the purely microscopic level we introduce a model showing the existence of a demixion transition at a metal-solution interface using a mean field approximation. Brief conclusions are presented in Sec. 7. 

Equation (111) can be obtained from Eq. (110) because the action of the permutation operator renders the argument index set dummy. Consider next the permutation operator P(xtx21 x3), defined in Eq. (99), and let h(xi, x2) be an arbitrary, antisymmetrized two-index function then... 

Using the same insight gleaned from our earlier SS-MRCC formulation in the spin orbital basis in terms of determinants, we interchange the dummy arguments in the second term... 

This graph shows the effects the way they really are. Note, however, that as the variables increase, the number of interaction terms skyrockets, eating valuable degrees of freedom. Perhaps, a better way to perform this study would be to separate the anatomical sites, because their results are not compared directly anyway, and use a separate statistical analysis for each. However, by the use of dummy variables, the evaluation can be made aU at once. There is also a strong argument to do the study as it is, because the testing is performed on the same unit—a patient—just at different anatomical sites. Multiple analysis of variance could also be used where multiple dependent variables would be employed, but many readers would have trouble... 

Here, Delta and Epsilon are what we call dummy parameters since they take on information provided by the actual arguments when Alpha is called. 

The dummy parameters N, Nums, and Avg do not appear in a Dim statement. They inherit the data type and structure of the actual argument when the subroutine is called. The calling statement in the next two examples is... 

The empty parentheses after InputNumbers identify it as an array argument, and the dummy Nums becomes an array structure of whatever length InputNumbers happens to be. These parentheses are not essential but they help to document the array argument. 

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