# Abcdefghijklmnopqrstuvwxyz zyxwvutsrqponmlkjihgfedcba

Perhaps there's some other character sequence we might care about in another situation. Since , he has been leading development of the Wolfram Functions Site http: If you take the word wizard , reverse the order of the letters and reverse the alphabet: Now let's write a shell script to verify this so we can find other words with similar interesting properties. It guides the reader to become fluent in the structure of Mathematica expressions, expression evaluation, pure and named functions, and in procedural, rule-based, and functional programming constructs.

Perhaps there's some other character sequence we might care about in another situation. It guides the reader to become fluent in the structure of Mathematica expressions, expression evaluation, pure and named functions, and in procedural, rule-based, and functional programming constructs. Combined with a user-friendly interface, and a complete mathematical typesetting system, Mathematica offers an intuitive, easy-to-handle environment of great power and utility. Now let's write a shell script to verify this so we can find other words with similar interesting properties. Iterate over the dictionary The following script uses look to find all words which get back to the same word when reversed and the alphabet is reversed: The obvious shell script to verify this echo wizard tr a-z z-a rev unfortunately fails with the error tr: The programs for this book are available to download at the link below: Luckily, someone has already figured out how to convert from numbers to characters in shell, so we can use the chr function in our script: He holds a Ph. Since , he has been leading development of the Wolfram Functions Site http: The Mathematica Guidebook for Programming provides a comprehensive, step-by-step development of Mathematica programming capabilities and contains an enormous collection of examples and worked exercises. As a convenience, we will also take ord which uses an obscure shell feature to convert a character to a number: If you take the word wizard , reverse the order of the letters and reverse the alphabet: We could just precompute or type by hand the alphabet in order and in reverse order and write echo wizard tr abcdefghijklmnopqrstuvwxyz zyxwvutsrqponmlkjihgfedcba rev But what if we want to automate generating the alphabet? It features a rich programming environment, two-and three-dimensional graphics capabilities and hundreds of sophisticated, powerful programming and mathematical functions using state-of-the-art algorithms. I won't spoil the results, but one of the words with the same property as wizard. Each Mathematica function is discussed in detail, explained in numerous examples. Reverse-ordered sequence the hard way The arguments to tr can be strings interpreted as lists of characters instead of character ranges.

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