Computer program, tolerances

In addition, the mirrors are adjustable, so that unimportant areas can be ignored. Light re-emmited from the surfaee is detected, and the detector signal is transmitted to a computer programmed with acceptable deviation levels for comparison with a reference component. Tolerance levels can vary for different areas of the same test piece they may, for example, be higher on a ground section than on adjacent unmachined areas. 

To find the best a priori conditions of analysis, the equilibrium analysis, based on material balances and all physicochemical knowledge involved with an electrolytic system, has been done with use of iterative computer programs. The effects resulting from (a) a buffer chosen, (b) its concentration and (c) complexing properties, (d) pH value established were considered in simulated and experimental titrations. Further effects tested were tolerances in (e) volumes of titrants added in aliquots, (f) pre-assumed pH values on precision and accuracy of concentration measured from intersection of two segments obtained in such titrations. 

The number of additional Fourier spectral components to recover is the option of the researcher. The number of iterations to execute with the most general computer program written is also the option of the researcher. A tolerance is presently used to determine the number of iterations performed. However, it is found in practice that only 5 or 10 iterations yield sufficiently accurate results for nearly all experimental data of interest. With the presently used computer program, restoration is to the spatial function, and the improved spatial function and the improved values of the coefficients are both generated with each iteration. If the improved Fourier spectrum is not desired, then additional computational time could be saved by neither reading nor writing the Fourier coefficients. When M data points are treated, the computer memory requirements are seldom more than 1M words. If it is not necessary to determine the extended Fourier spectrum, then more than 5M words are seldom needed in computer memory. 

A digitally efficient, if tolerably imprecise, fast Fourier transform (FFT), due to Cooley and Tukey, has been implemented in digital computer programs for Fourier transform spectroscopy. 

The computer program PROG71 determines the bubble points of the hydrocarbon mixture. As with the dew point, the bubble point (ZY = ZKX) is computed until the sum is 1.0 or very close to 1.0, depending on the tolerance the user will accept. If the sum printed is not equal to 1.0 (within tolerance), the iteration is repeated using the Kj s corresponding to the new temperature. Tables 7-16,7-17, and 7-18 give both the data input and computer outputs for the bubble points of the hydrocarbon mixture at 260°F, 235°F and 237°F. 

Optimization of the source position is done by evaluating eqns. (77) or (78) using the source parameters n and A. For this purpose, the geometrical ratios q/h and R/h are used and are allowed to vary in a computer program under defined geometrical boundary conditions, such as dimensions of the plant, size of palettes or spherical segments, area to be coated, distance between source and substrates, etc. The computation is continued until the desired thickness uniformity lies within the tolerance. 

Shimless tooling differs from standard tooling because it has enough spacer sizes to enable any given size to be set up exactly. No shims are required to make adjustments because of a lack of sizes in the spacers. The spacers are also manufactured to tolerances which will eliminate accumulation of tolerance error. Most shimless tooling sets are manufactured to a thickness tolerance of 0.001 mm ( 0.00004 in.). Because the mathematics to determine what spacer combinations to use is more difficult, a computer program is generally used. 

The preparation of the large number of a, log a, and it diagrams was facilitated by use of an X-Y plotter and a computer program compiled by Dr. C. C. Ross, Jr., Mathematics Department, Director of Academic Computing, University of the South (see Appendices A-2-A-4). It seemed best not to retouch the small discontinuities, which arise from tolerances in the computation program and plotter in these plots. 

The center distance obtained from a table, or computCT program, or calculated from Equation 5.4 or Eqnation 5.4a mnst be mnltiplied by the chain pitch to obtain the center distance in inches (or milhmeters). The center distance obtained from a table, or computer program, or calculated from Equation 5.4a are maximnms. Any tolerance applied must be negative only. If a positive tolerance is apphed, it may damage the chain or other components of the drive. 

The numerical calculation of failure rates and failure probabilities were calculated using the computer program PRobability Of Fracture (PROF) which is based on a deterministic damage tolerance approach and uses the methodology described above. 

To determine if a process unit is at steady state, a program monitors key plant measurements (e.g., compositions, product rates, feed rates, and so on) and determines if the plant is steady enough to start the sequence. Only when all of the key measurements are within the allowable tolerances is the plant considered steady and the optimization sequence started. Tolerances for each measurement can be tuned separately. Measured data are then collec ted by the optimization computer. The optimization system runs a program to screen the measurements for unreasonable data (gross error detection). This validity checkiug automatically modifies tne model updating calculation to reflec t any bad data or when equipment is taken out of service. Data vahdation and reconciliation (on-line or off-line) is an extremely critical part of any optimization system. 

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