E7_Lecture6_Su10+posted

E7_Lecture6_Su10+posted - The concept of a function 1 A...

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E7 L6 1 The concept of a function A rule that assigns to each value of the input , a corresponding output value. Symbolically: { } { } 1 2 1 2 , ,..., ( , ,..., ) n m y y y x x x = FUNCTION input output

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E7 L6 2 The concept of a function Pictorially: Input/output data can be of various types, e.g., numbers, strings, arrays, etc. x 1 x 2 x n y 1 y 2 y m FUNCTION . . . .
E7 L6 3 FUNCTIONS in programming FUNCTIONS in programming A set of commands that execute a “task” that can be reuse in several instances. These commands are written as a function Functions are use to break down a large task into a collection of smaller tasks. Functions are also called subroutines, methods , etc.

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E7 L6 4 MATLAB functions MATLAB contains a number of useful functions, Simple mathematical functions (e.g., sin, atan, log, exp, sqrt, abs, floor ) Array functions (e.g., size, sort, sum, max ) String functions (e.g., strmatch, upper ) Polynomial functions (e.g., polyval, roots )
E7 L6 5 MATLAB functions MATLAB functions Existing MATLAB functions are distinguished into two categories: Built-in functions implemented in a programming language other than Matlab (C or assembly language). Matlab-programmed functions Written as m-files The type command displays the content of an m-file.

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E7 L6 6 Examples of type outputs Examples of type outputs Built-in function: Matlab-programmed functions >> type sin sin is a built-in function. >> type linspace function y = linspace(d1, d2, n) % LINSPACE Linearly spaced vector. % LINSPACE(X1, X2) generates a row vector…
E7 L6 7 User-defined functions in MATLAB One of the most powerful features in MATLAB is the ability to create user-defined functions. Important rules: Functions are stored in files with the extension .m Functions can call other functions!

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