IEC 62304, 5.5.3 - Software Unit acceptance criteria ISO 26262-6, Table 1 (1b) 'Use of language subsets' ISO 26262-6, Table 1 (1d) 'Use of defensive implementation techniques' ISO 26262-6, Table 7 (1f) 'Control flow analysis'. Download Matlab 5.3 Software Free MATLAB is used in many areas as telecommunications, financial mathematics, design of control systems, image processing and signals. The environment has its own integrated high-level programming language, which greatly facilitates the work on matrices, vectors or structures. SageMath is another open source mathematics software system that might be a good option for those seeking a MATLAB alternative. It's built on top of a variety of well-known Python-based scientific computing libraries, and its own language is syntactically similar to Python. MATLAB is the language of technical computing at leading engineering and science companies and the standard software at more than 5000 universities worldwide. MATLAB R2015a (32-bit) Download. Example: Compute 5 sin(2.5 3-pi)+1/75. In MATLAB this is done by simply typing. Be careful with parantheses and don't forget to type. whenever you multiply! Note that MATLAB is case sensitive. This means that MATLAB knows a difference between letters written as lower and upper case letters.
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The most basic MATLAB® data structure is the matrix. A matrix is a two-dimensional, rectangular array of data elements arranged in rows and columns. The elements can be numbers, logical values (true or false), dates and times, strings, or some other MATLAB data type.
Even a single number is stored as a matrix. For example, a variable containing the value 100 is stored as a 1-by-1 matrix of type double.
Constructing a Matrix of Data
If you have a specific set of data, you can arrange the elements in a matrix using square brackets. A single row of data has spaces or commas in between the elements, and a semicolon separates the rows. For example, create a single row of four numeric elements. The size of the resulting matrix is 1-by-4, since it has one row and four columns. A matrix of this shape is often referred to as a row vector.
Now create a matrix with the same numbers, but arrange them in two rows. This matrix has two rows and two columns.
Specialized Matrix Functions
MATLAB has many functions that help create matrices with certain values or a particular structure. For example, the zeros and ones functions create matrices of all zeros or all ones. The first and second arguments of these functions are the number of rows and number of columns of the matrix, respectively.
The diag function places the input elements on the diagonal of a matrix. For example, create a row vector A containing four elements. Then, create a 4-by-4 matrix whose diagonal elements are the elements of A.
Concatenating Matrices
You can also use square brackets to join existing matrices together. This way of creating a matrix is called concatenation. For example, concatenate two row vectors to make an even longer row vector.
To arrange A and B as two rows of a matrix, use the semicolon.
To concatenate two matrices, they must have compatible sizes. In other words, when you concatenate matrices horizontally, they must have the same number of rows. When you concatenate them vertically, they must have the same number of columns. For example, horizontally concatenate two matrices that both have two rows.
An alternative way to concatenate matrices is to use concatenation functions such as horzcat, which horizontally concatenates two compatible input matrices.
Generating a Numeric Sequence
The colon is a handy way to create matrices whose elements are sequential and evenly spaced. For example, create a row vector whose elements are the integers from 1 to 10.
You can use the colon operator to create a sequence of numbers within any range, incremented by one.
To change the value of the sequence increment, specify the increment value in between the starting and ending range values, separated by colons.
To decrement, use a negative number.
You can also increment by noninteger values. If an increment value does not evenly partition the specified range, MATLAB automatically ends the sequence at the last value it can reach before exceeding the range.
Expanding a Matrix
You can add one or more elements to a matrix by placing them outside of the existing row and column index boundaries. MATLAB automatically pads the matrix with zeros to keep it rectangular. For example, create a 2-by-3 matrix and add an additional row and column to it by inserting an element in the (3,4) position.
You can also expand the size by inserting a new matrix outside of the existing index ranges.
To expand the size of a matrix repeatedly, such as within a for loop, it's usually best to preallocate space for the largest matrix you anticipate creating. Without preallocation, MATLAB has to allocate memory every time the size increases, slowing down operations. For example, preallocate a matrix that holds up to 10,000 rows and 10,000 columns by initializing its elements to zero.
If you need to preallocate additional elements later, you can expand it by assigning outside of the matrix index ranges or concatenate another preallocated matrix to A.
Empty Arrays
An empty array in MATLAB is an array with at least one dimension length equal to zero. Empty arrays are useful for representing the concept of 'nothing' programmatically. For example, suppose you want to find all elements of a vector that are less than 0, but there are none. The find function returns an empty vector of indices, indicating that it couldn't find any elements less than 0.
Many algorithms contain function calls that can return empty arrays. It is often useful to allow empty arrays to flow through these algorithms as function arguments instead of handling them as a special case. If you do need to customize empty array handling, you can check for them using the isempty function.
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LiveLink™ for MATLAB® Updates
For users of LiveLink™ for MATLAB®, COMSOL Multiphysics® software version 5.3 brings new and updated wrapper functions and usability improvements. Browse all LiveLink™ for MATLAB® updates below.
New and Improved Wrapper Functions
Matlab 5.3 Free Download
mphray and mphparticle
The new mphray function has been added to support ray optics and ray acoustics data sets.
The mphparticle and mphray functions now support the properties solnum, outersolnum, times, and velocities. These new options give improved access to ray and particle data from parametric sweep studies.
mphplot, mphgeom, and mphmesh
Support for views has been introduced for the mphplot, mphgeom, and mphmesh functions. This means that some of the view settings that are associated with various plots in the COMSOL Multiphysics® software are used when creating the plots in the MATLAB® software. The new syntax lets you supply a specific tag for a 'view' or use the value 'auto' of a view based on the plot type.
mphplot(model, 'pg1', 'view', 'view1')
mphgeom(model, 'geom1', 'view', 'view1')
mphmesh(model, 'mesh1', 'view', 'view1')
Plots will now show units, such as for length or other units depending on the plot type, on axes representing different functions. If a model hides certain geometry objects when showing a geometry in COMSOL Multiphysics®, this is supported when using mphgeom. Note that camera view positions and lights are not handled due to differences between COMSOL Multiphysics® and MATLAB® graphics. New plot types supported by mphplot are: Height Aberration plots, Arrow Surface plots (normal and tangent angles), Streamline Surface plots, and Line plots with two y-axes.
Matlab 5.3 Software App
mphthumbnail
Thumbnails are now preserved by default when loading and saving models, instead of silently removed. This is a precursor to the new mphthumbnail function, which enables you to get and set the thumbnail images of models.
mphdoc
Matlab 5.3 Software Key
The mphdoc function allows you to access the COMSOL documentation. You can now receive help for all nodes in the model object tree, as well as for all wrapper functions that come with LiveLink™ for MATLAB®. Additionally, you can open the COMSOL® API for use with Java® documentation, which gives detailed information about all of the classes and methods available for controlling COMSOL® models from the MATLAB® software. A general documentation window can be opened that gives access to the entire set of COMSOL documentation, which you can search and browse through. Access to the help documentation is added to mphnavigator to help you find the right documentation pages.
mphlaunch
Matlab 5.3 Software Developer
You can now connect to a COMSOL Multiphysics® server from MATLAB® and COMSOL Multiphysics® at the same time. This way, you can access all model settings from either environment without having to repeatedly save and load the model. This provides a more user-friendly workflow, where you can use the environment that is most suited for the task and the preference you prefer. The new function mphlaunch makes it possible to start a COMSOL Multiphysics® client and connect the same server that MATLAB® is connected to — and load a model that is currently used in the MATLAB® environment.
Matlab 5.3 Software Tutorial
Access to Functions from the Apps Tab of the MATLAB® Ribbon or Toolstrip
Matlab 5.3 Software Download
By installing the LiveLink for MATLAB.mltbx file, you gain access to four functions from the Apps tab in the ribbon in MATLAB®. This makes it easy to perform common tasks such as loading and searching for models, navigating the model object structure, and viewing the model settings. Instead of running the mphmodellibrary, mphnavigator, mphopen, and mphsearch functions, there are now buttons for performing these tasks.
MATLAB is a registered trademark of The MathWorks, Inc. Oracle and Java are registered trademarks of Oracle and/or its affiliates. COMSOL AB and its subsidiaries and products are not affiliated with, endorsed by, sponsored by, or supported by these trademark owners.