Automatic scaling

Gaussian will automatically scale input basis functions so that they are normalized. 

Graphing too many variables will often disguise the details of the smallest, due to the automatic scaling. Choosing the range of the scaling (for two variables only) is useful for revealing details. 

Produce a post-mortem plot using data stored by means of a PREPARE statement. 1, 3, 4 are the run numbers. If the run list is omitted, all runs are plotted. X, Z etc., are the vertical variables. The last four parameters specify axis scaling and are optional, i.e., GRAPH X,Y,Z plots all runs with automatic scaling. 

Currently, a good LP solver running on a fast (> 500 mHz) PC with substantial memory, solves a small LP in less than a second, a medium-size LP in minutes to tens of minutes, and a large LP in an hour or so. These codes hardly ever fail, even if the LP is badly formulated or scaled. They include preprocessing procedures that detect and remove redundant constraints, fixed variables, variables that must be at bounds in any optimal solution, and so on. Preprocessors produce an equivalent LP, usually of reduced size. A postprocessor then determines values of any removed variables and Lagrange multipliers for removed constraints. Automatic scaling of variables and constraints is also an option. Armed with such tools, an analyst can solve virtually any LP that can be formulated. 

F Show Iteration Resuks T" Use Automatic Scaling Assume Non-Negative... 

When graphical output is chosen, the user has the option to manually set the scaling for both axes or allow the program to automatically scale the axes. 

The standard low-resolution mass spectrum (Fig. 30.3) is computer generated, which allows easy comparison with known spectra in a computer database for identification. The peak at the highest mass number is the molecular ion (M ), the mass of the molecule minus an electron. The peak at RA = 100%, the base peak, is the most abundant fragment in the spectrum and the computer automatically scales the spectrum to give the most abundant ion as 100%. The mass spectrum of a compound gives the following information about its chemical structure ... 

Mechanical Extraction. Copra with 10-12% moisture content is conveyed to an automatic scale, passes through a magnetic chamber for the removal of tramp iron, and is ground to a particle size of approximately 0.3 cm in diameter. The particles are flaked to facihtate exposure of a large surface area. 

When you change a value in any of the five input boxes in the Scale tab, the Auto check box next to the entry becomes unchecked. When Excel creates a chart, it automatically scales the axes to conform with the data but does not adjust any of the axis parameters for which Auto is unchecked. 

The Use Automatic Scaling option should be checked if there are large differences in magnitude between the Target Cell and the Changing Cells — for example, if you are varying intemuclear bond distance (on the order of 10 m) to obtain a minimum value of bond energy (on the order of 10 J). 

THE "USE AUTOMATIC SCALING" OPTION IS IMPORTANT FOR MANY CHEMICAL PROBLEMS... 

A pixel can be tested with the function RDOT, which returns the color of the pixel at the specified row and column. The WIDTH command specifies the size of pixels plotted. A WIDTH of 2 makes all lines double-wide. And finally, the SCALE command lets you pretend that the screen is actually 1024 X 1024 pixels across and down. You can use this range in your drawing statements, and the coordinates are automatically scaled to fit the actual screen size. 

Automatic Scaling of k a as a Function of Petr, pH, logD, and GI Surface Area... 

Abstract The theory of Sturmians and generalized Sturmians is reviewed. It is shown that when generalized Sturmians are used as basis functions, calculations on the spectra and physical properties of few-electron atoms can be performed with great ease and good accuracy. The use of many-center Coulomb Sturmians as basis functions in calculations on N-electron molecules is also discussed. Basis sets of this type are shown to have many advantages over other types of ETO s, especially the property of automatic scaling. 

Unlike water that flows smoothly from high to low, a computer must take discrete steps. The step size in Solver is determined by the largest adjustable variables. When the smaller variables are of a quite different magnitude, such as the Ka s in many polyprotic acids, use their pKa s instead as the adjustable parameters, in order to make a more even playing field. The same can be achieved when you Use Automatic Scaling in the Solver Options. 

Note overhead automatic scale which can discharge at a variable controlled rate of either tank or the hopper in the background... 

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