Download and read online Exploring the Extension of Natural Operations on Intervals Matrices and Complex Numbers in PDF and EPUB In this book we explore the possibility of extending the natural operations on reals to intervals and matrices. The extension to intervals makes us define a natural class of intervals in which we accept [a, b], a greater than b. Further, we introduce a complex modulo integer in Z_n (n, a positive integer) and denote it by iF with iF^2 = n-1.
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Download and read online Programming with Data in PDF and EPUB Here is a thorough and authoritative guide to the latest version of the S language and to its programming environment the premier software platform for computing with data. Programming with Data describes a new and greatly extended version of S and is written by the chief designer of the language. The book is a guide to the complete programming process, starting from simple interactive use and continuing through ambitious software projects. S is designed for computing with data-for any project in which organizing, visualizing, summarizing, or modeling data are central concerns. Its focus is on the needs of the programmer/user, and its goal is "to turn ideas into software, quickly and faithfully." S is a functional object-based language with a huge library of functions for all aspects of computing with data. Its long and enthusiastic use in statistics and applied fields has also led to many valuable libraries of user-written functions. The new version of S provides powerful class/method structure, new techniques to deal with large objects, extended interfaces to other languages and files, object-based documentation compatible with HTML, and powerful new interactive programming techniques. This version of S underlies the S-PLUS system, versions 5*0 and higher.
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