Software Matlab

In addition to executing commands entered through the keyboard, you can also use commands stored as files. These files all end in the extension. m and are called M-files because of the file name extension. Long programs are usually created in a text editor and stored as an M-file that can be executed in a MATLAB session. Short programs are usually created and run directly on-line. Since MATLAB is an interpreter 

Appendix B gives reference tables on aspects of MATLAB that will be used in this book. 

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MATLAB software for Windows from The MathWorks, Inc., 24 Prime Park Way, Natick, Mass. 01760-1500. Internet info mathworks.com... 

For the next several chapters in this book we will illustrate the straight forward calculations used for multivariate regression. In each case we continue to perform all mathematical operations using MATLAB software [1, 2], We have already discussed and shown the manual methods for calculating most of the matrix algebra used here in references [3-6]. You may wish to program these operations yourselves or use other software to routinely make these calculations. 

The first graphical representation using MATLAB software is that of a two-dimensional contour surface plot of the data from Table 75-1 [2], This Figure 75-3 plot can represent multiple levels of j-axis data (absorbance) by the use of contours and color schemes. The MATLAB commands for generating this image are given in Table 75-2 where A represents the raster data matrix shown in Table 75-1. 

Fig. 21.4. Transport of benzene within an aerobic aquifer, modeled in two dimensions. Contaminated water containing 1 mg kg-1 benzene leaks into the aquifer over the course of two years, at the point indicated. As in the previous model (Fig. 21.3), the benzene is retarded by sorption to organic matter in the aquifer and attenuates due to sorption, biodegradation, and dispersive mixing. Plots were rendered using the matlab software.

MATLAB is a trademark of The MathWorks, Inc. and is used with permission. The MathWorks does not warrant the accuracy of the text or exercises in this book. This book s use or discussion of MATLAB software or related products does not constitute endorsement or sponsorship by The MathWorks of a particular pedagogical approach or particular use of the MATLAB software. 

Usually, imaging workstations and luminometers include proprietary software to operate the devices and allow the direct export of raw data and basic measurements to common spreadsheet software, including Microsoft Excel. More complex image analyses can be successfully performed with ImageJ or Matlab software packages. 

Simulations of three-component time-dependent diffusion were made based on two slightly different models using Matlab software [33]. Basically, fluid layer thicknesses are predicted, which determine diffusion distances. In this way, the H+ and OH- concentrations are revealed which can be related back to the pH. By the known fluorescence intensity-pH relationship, the quantum yield is thus given. 

DNA to the other end can be monitored by the formation of the PTZ + with a peak at around 520 nm (Fig. 1) [23-25, 40-44] during the laser flash photolysis measurement. The rate constants of each individual charge transfer steps between G-C base-pairs (Tht) were determined from kinetic modeling. Analysis of time profiles of formation of PTZ + via the multistep charge-transfer mechanism was performed with numerical analysis by using Matlab software [25]. 

For large-scale problems, the most widely useful mathematical tool available is computational/numerical simulation. A great number of computer tools are available for simulation of ordinary differential equation (ODE) based models, such as Equations (3.27). Here we demonstrate how this system may be simulated using the ubiquitous Matlab software package. 

The obtained model, which was developed using the Toolbox System Identification from MATLAB software, explained 42% of the total data variation within the observation period ... 

A D-optimal experimental design was chosen in order to minimize covariance between preparation parameters for a preselected number of preparation parameters and number of catalysts [6]. The design was then modified to include 3x3 experimental points, which reflect the influence of one preparation parameter while the other parameters are kept constant. Hence, three curves were obtained for each preparation parameter with different combinations of the other parameters, where the combinations were selected to achieve design with the highest D-efficiency (calculations were done by Matlab software [7]). Set-point values for the ten selected experimental parameters are shown in Table 1. 90 catalysts out of 59049 were selected for the experimental study. 

All statistical calculations were performed using Matlab software [7]. 

The calculation of the rate constants ki was performed using the MATLAB software (Scientific Software) Since the total conversion in considered transient experiments was always lower than 5% the spatial variation of concentrations was neglected [11]. 

Both the openloop and the closedloop frequency response curves can be easily generated on a digital computer by using the complex variables and functions in FORTRAN discussed in Chapter 10 or by using MATLAB software. The frequency response curves for the closedloop servo transfer function can also be fairly easily found graphically by using a Nichols chart. This chart was developed many years ago, before computers were available, and was widely used because it greatly facilitated the conversion of openloop frequency response to closedloop frequency response. 

The frequency response of sampled-data systems can be easily calculated using MATLAB software. Table 15.2 gives a program that generates a Nyquist plot for the first-order process with a deadtfme of one sampling period. 

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