# A course of higher mathematics, vol. 1 by Smirnov V.I.

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Extra info for A course of higher mathematics, vol. 1

Example text

A rational number is a number of the form p/q, where p and q are integers. In other words, the rational numbers are those numbers that can be represented as a quotient of two integers. The way in which MATLAB treats rational numbers differs from the majority of calculators. 0833, which is no more than an approximation of the result. The rational numbers are ratios of integers, and MATLAB can work with them in exact mode, so the result of an arithmetic expression involving rational numbers is always given precisely as a ratio of two integers.

Format long e Provides the results to 16 decimal figures more than the power of 10 required. format short e Provides the results to four decimal figures more than the power of 10 required. format long g Provides the results in optimal long format. (continued) 38 Chapter 2 ■ Variables, Numbers, Operators and Functions format short g Provides the results in optimum short format. bank format Delivers results to 2 decimal places. format rat Returns the results in the form of a rational number approximation.

E. n(n-1) (n-2)…1) factor (n) Returns the prime factorization of n. Below are some examples. 00 Alternative Bases MATLAB allows you to work with numbers to any base, as long as the extended symbolic math Toolbox is available. It also allows you to express all kinds of numbers in different bases. This is implemented via the following functions: dec2base (decimal, n_base) Converts the specified decimal number to the new base n_base. base2dec(number,b) Converts the given number in base b to a decimal number. 