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  • Kermit Sigmon, author of the MATLAB® Primer, passed away in January 1997. Kermit was a friend, colleague, and fellow avid bicyclist (although I’m a mere 10-mile-aday commuter) with whom I shared an appreciation for the contribution that MATLAB has made to the mathematics, engineering, and scientific community. MATLAB is a powerful tool, and my hope is that in revising our book for MATLAB 7.0, you will be able to learn how to apply it to solving your own challenging problems in mathematics, science, and engineering....

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  • Basic elements of program Input – Initialize, define or assign numerical values to variables. Set of command expressions – Operations applied to input variables that lead to the desired result. Output – Display (graphically or numerically) result.An example of technical computinAn example of technical computing Let us consider using the hyperbolic tangent to model a downhill section of a snowboard or snow ski facility. Let us first examine the hyperbolic tangent function by executing the command: ezplot( ‘tanh(x)’ )...

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  • Method: compute H and then C for a range of values of R, then find the minimum value of C and the corresponding values of R and H. To determine the range of R to investigate, make an approximation by assuming that H = R. Then from the tank volume: 2 5 Vtank = 500 = πR3 + πR3 = πR3 3 3 Solving for R: R= From Matlab: Rest = (300/pi)^(1/3) Rest = 4.5708 We will investigate R in the range 3.0 to 7.0 meters. Computational implementation: Matlab script to determine the minimum cost design: % % %...

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  • A purchaser should assess the environmental risks associated with a property being purchased. In Canada, government o"cials do not “certify” that a property is free from such risks. A property’s environmental status can be ascertained by inspecting applicable company and public records. In virtually all cases, a purchaser will want to do an “environmental audit” of the property which may include conducting scienti!c testing and a technical analysis of the property. Lending institutions often require such an audit before advancing any funds.

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  • The aim of this book is to teach computer programming using examples from mathematics and the natural sciences. We have chosen to use the Python programming language because it combines remarkable expressive power with very clean, simple, and compact syntax. Python is easy to learn and very well suited for an introduction to computer programming. Python is also quite similar to Matlab and a good language for doing mathematical computing. It is easy to combine Python with compiled languages, like Fortran, C, and C++, which are widely used languages for scientific computations.

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