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• • • • at Wikibooks MATLAB ( matrix laboratory) is a environment and developed. MATLAB allows manipulations, plotting of and data, implementation of, creation of, and interfacing with programs written in other languages, including,,,,. Although MATLAB is intended primarily for numerical computing, an optional toolbox uses the, allowing access to abilities. An additional package,, adds graphical multi-domain simulation and for. As of 2018, MATLAB has more than 3 million users worldwide.

MATLAB users come from various backgrounds of,,. Contents • • • • • • • • • • • • • • • • • • • • • • • • History [ ], the chairman of the department at the, started developing MATLAB in the late 1970s. He designed it to give his students access to and without them having to learn. It soon spread to other universities and found a strong audience within the community., an engineer, was exposed to it during a visit Moler made to in 1983. Recognizing its commercial potential, he joined with Moler and Steve Bangert. They rewrote MATLAB in and founded in 1984 to continue its development. These rewritten libraries were known as JACKPAC.

In 2000, MATLAB was rewritten to use a newer set of libraries for matrix manipulation,. MATLAB was first adopted by researchers and practitioners in, Little's specialty, but quickly spread to many other domains. It is now also used in education, in particular the teaching of and, and is popular amongst scientists involved in. Syntax [ ] The MATLAB application is built around the MATLAB scripting language. Common usage of the MATLAB application involves using the Command Window as an interactive mathematical or executing text files containing MATLAB code.

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Variables [ ] Variables are defined using the assignment operator, =. MATLAB is a programming language because types are implicitly converted. It is an inferred typed language because variables can be assigned without declaring their type, except if they are to be treated as symbolic objects, and that their type can change. Values can come from, from computation involving values of other variables, or from the output of a function. >> ari = 1: 5 ari = 1 2 3 4 5 assigns to the variable named ari an array with the values 1, 2, 3, 4, and 5, since the default value of 1 is used as the incrementer.

Is one-based, which is the usual convention for in mathematics, although not for some programming languages such as C, C++, and Java. Matrices can be defined by separating the elements of a row with blank space or comma and using a semicolon to terminate each row. The list of elements should be surrounded by square brackets: [].

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Parentheses: () are used to access elements and subarrays (they are also used to denote a function argument list). >> A = [ 1; 2 ], B = A. ', C = transpose ( A ) A = 1 2 B = 1 2 C = 1 2 >> D = [ 0 3; 1 5 ], D.

' D = 0 3 1 5 ans = 0 1 3 5 Most MATLAB functions can accept matrices and will apply themselves to each element. Download tattle tale game show free full. For example, mod(2*J,n) will multiply every element in 'J' by 2, and then reduce each element modulo 'n'.

MATLAB does include standard 'for' and 'while' loops, but (as in other similar applications such as ), using the notation often produces code that is faster to execute. This code, excerpted from the function magic.m, creates a M for odd values of n (MATLAB function meshgrid is used here to generate square matrices I and J containing 1:n). [ J, I ] = meshgrid ( 1: n ); A = mod ( I + J - ( n + 3 ) / 2, n ); B = mod ( I + 2 * J - 2, n ); M = n * A + B + 1; Structures [ ] MATLAB has structure data types.

Since all variables in MATLAB are arrays, a more adequate name is 'structure array', where each element of the array has the same field names. In addition, MATLAB supports dynamic field names (field look-ups by name, field manipulations, etc.). Unfortunately, MATLAB JIT does not support MATLAB structures, therefore just a simple bundling of various variables into a structure will come at a cost.

Functions [ ] When creating a MATLAB function, the name of the file should match the name of the first function in the file. Valid function names begin with an alphabetic character, and can contain letters, numbers, or underscores. Functions are often case sensitive. Function handles [ ] MATLAB supports elements of by introducing function handles, or function references, which are implemented either in.m files or anonymous /nested functions. Classes and object-oriented programming [ ] MATLAB supports including classes, inheritance, virtual dispatch, packages, pass-by-value semantics, and pass-by-reference semantics. However, the syntax and calling conventions are significantly different from other languages. MATLAB has value classes and reference classes, depending on whether the class has handle as a super-class (for reference classes) or not (for value classes).