{"id":3457,"date":"2021-01-24T16:14:30","date_gmt":"2021-01-24T09:14:30","guid":{"rendered":"https:\/\/gulfthai.com\/?page_id=3457"},"modified":"2021-10-23T20:16:24","modified_gmt":"2021-10-23T13:16:24","slug":"simulink-basic-program","status":"publish","type":"page","link":"https:\/\/gulfthai.com\/?page_id=3457","title":{"rendered":"Matlab & Simulink Advanced Programming"},"content":{"rendered":"\n

Fundamental Courses<\/strong><\/h2>\n\n\n\n

MATLAB Fundamental<\/strong>
Virtual 1950 USD \/500 USD (2021)<\/a><\/strong><\/h2>\n\n\n\n

VDO \u0e2a\u0e2d\u0e19\u0e15\u0e2d\u0e19\u0e17\u0e35\u0e48 1<\/a> \u0e42\u0e14\u0e22 \u0e1c\u0e28.\u0e14\u0e23.\u0e01\u0e34\u0e15\u0e15\u0e34\u0e1e\u0e07\u0e29\u0e4c \u0e40\u0e22\u0e32\u0e27\u0e32\u0e08\u0e32 (1-2 \u0e0a\u0e21\/ \u0e40\u0e23\u0e35\u0e22\u0e19\u0e23\u0e39\u0e49\u0e17\u0e14\u0e25\u0e2d\u0e07 3 \u0e0a\u0e21)
VDO \u0e2a\u0e2d\u0e19\u0e15\u0e2d\u0e19\u0e17\u0e35\u0e48 2<\/a> \u0e42\u0e14\u0e22 \u0e1c\u0e28.\u0e14\u0e23.\u0e01\u0e34\u0e15\u0e15\u0e34\u0e1e\u0e07\u0e29\u0e4c \u0e40\u0e22\u0e32\u0e27\u0e32\u0e08\u0e32 (1-2 \u0e0a\u0e21\/ \u0e40\u0e23\u0e35\u0e22\u0e19\u0e23\u0e39\u0e49\u0e17\u0e14\u0e25\u0e2d\u0e07 3 \u0e0a\u0e21)
VDO \u0e2a\u0e2d\u0e19\u0e15\u0e2d\u0e19\u0e17\u0e35\u0e48 3<\/a> \u0e42\u0e14\u0e22 \u0e1c\u0e28.\u0e14\u0e23.\u0e01\u0e34\u0e15\u0e15\u0e34\u0e1e\u0e07\u0e29\u0e4c \u0e40\u0e22\u0e32\u0e27\u0e32\u0e08\u0e32 (1-2 \u0e0a\u0e21\/ \u0e40\u0e23\u0e35\u0e22\u0e19\u0e23\u0e39\u0e49\u0e17\u0e14\u0e25\u0e2d\u0e07 3 \u0e0a\u0e21)
VDO \u0e2a\u0e2d\u0e19\u0e15\u0e2d\u0e19\u0e17\u0e35\u0e48 4 \u0e42\u0e14\u0e22 \u0e1c\u0e28.\u0e14\u0e23.\u0e01\u0e34\u0e15\u0e15\u0e34\u0e1e\u0e07\u0e29\u0e4c \u0e40\u0e22\u0e32\u0e27\u0e32\u0e08\u0e32 (1-2 \u0e0a\u0e21\/ \u0e40\u0e23\u0e35\u0e22\u0e19\u0e23\u0e39\u0e49\u0e17\u0e14\u0e25\u0e2d\u0e07 3 \u0e0a\u0e21)
VDO \u0e2a\u0e2d\u0e19\u0e15\u0e2d\u0e19\u0e17\u0e35\u0e48 5 \u0e42\u0e14\u0e22 \u0e1c\u0e28.\u0e14\u0e23.\u0e01\u0e34\u0e15\u0e15\u0e34\u0e1e\u0e07\u0e29\u0e4c \u0e40\u0e22\u0e32\u0e27\u0e32\u0e08\u0e32 (1-2 \u0e0a\u0e21\/ \u0e40\u0e23\u0e35\u0e22\u0e19\u0e23\u0e39\u0e49\u0e17\u0e14\u0e25\u0e2d\u0e07 3 \u0e0a\u0e21)
VDO \u0e2a\u0e2d\u0e19\u0e15\u0e2d\u0e19\u0e17\u0e35\u0e48 6 \u0e42\u0e14\u0e22 \u0e1c\u0e28.\u0e14\u0e23.\u0e01\u0e34\u0e15\u0e15\u0e34\u0e1e\u0e07\u0e29\u0e4c \u0e40\u0e22\u0e32\u0e27\u0e32\u0e08\u0e32 (1-2 \u0e0a\u0e21\/ \u0e40\u0e23\u0e35\u0e22\u0e19\u0e23\u0e39\u0e49\u0e17\u0e14\u0e25\u0e2d\u0e07 3 \u0e0a\u0e21)
VDO \u0e2a\u0e2d\u0e19\u0e15\u0e2d\u0e19\u0e17\u0e35\u0e48 7 \u0e42\u0e14\u0e22 \u0e1c\u0e28.\u0e14\u0e23.\u0e01\u0e34\u0e15\u0e15\u0e34\u0e1e\u0e07\u0e29\u0e4c \u0e40\u0e22\u0e32\u0e27\u0e32\u0e08\u0e32 (1-2 \u0e0a\u0e21\/ \u0e40\u0e23\u0e35\u0e22\u0e19\u0e23\u0e39\u0e49\u0e17\u0e14\u0e25\u0e2d\u0e07 3 \u0e0a\u0e21) <\/p>\n\n\n\n

Course Description<\/strong>
Modules
Course Quick Reference
Getting Started<\/strong>
Overview of the course. Entering MATLAB commands, importing and saving data, and using the MATLAB documentation.<\/p>\n\n\n\n

Lessons:<\/strong>
Course Overview
Entering Commands
Getting Data into MATLAB
Obtaining Help
The MATLAB Editor
Summary of Getting Started
Plotting and Common Modifications70 min100%
Create plots of vector data. Modify, annotate, and export plots.<\/p>\n\n\n\n

Lessons:<\/strong>
Course Example – Visualizing Gasoline Prices
Plotting
Annotating Plots
Axis Control
Exporting Figures
Summary of Plotting
Working with Live Scripts45 min100%
Create, use, format, and share live scripts.<\/p>\n\n\n\n

Lessons:<\/strong>
Course Example – Using a Script to Automate Plotting Gasoline Prices
Create and Run a Script
Code Sections
Comments and Text
Sharing Live Scripts
Summary of Live Scripts
Creating and Manipulating Arrays140 min100%
Create, combine, and reshape arrays.<\/p>\n\n\n\n

Lessons:<\/strong>
Course Example – Arrays of Data
Manually Entering Arrays
Creating Evenly-Spaced Vectors
Concatenating Arrays
Array Creation Functions
Reshaping Arrays
Summary of Creating and Manipulating Arrays<\/p>\n\n\n\n

Accessing Data in Arrays60 min94%
Extract subsets of arrays, and modify elements in an array.<\/p>\n\n\n\n

Lessons<\/strong>
Course Example – Accessing Data in Arrays
Accessing Data in Vectors
Accessing Data in Matrices
Summary of Accessing Data in Arrays
Mathematical and Statistical Operations with Arrays120 min100%
Use arrays as mathematical objects or as collections of (vector) data. Understand the appropriate use of MATLAB to distinguish between these applications.<\/p>\n\n\n\n

Lessons:<\/strong>
Course Example – Electricity Consumption
Performing Operations on Arrays
Calculating Statistics of Vectors
Using Statistical Operations on Matrices
Matrix Multiplication
Summary of Operations with Arrays
Visualizing Data in 2D and 3D105 min100%
Identify and use plot types for 2D and 3D visualization. Modify plot properties.<\/p>\n\n\n\n

Lessons:<\/strong>
Identifying Available Vector Plot Types
Annotating with Multiple Strings of Text
Customizing Plot Properties
Plotting Multiple Columns
Visualizing Matrices
Summary of Visualizing Data in 2D and 3D
Conditional Data Selection90 min100%
Extract and analyze subsets of data that satisfy given criteria.<\/p>\n\n\n\n

Lessons:<\/strong>
Course Example – Home Field Advantage
Logical Operations and Variables
Counting Elements
Logical Indexing
Summary of Conditional Data Selection
Review Project I5 min100%
Tie together several topics covered in the course<\/p>\n\n\n\n

Lessons:<\/strong>
Project – Halfway Review of Fundamentals
Tables of Data125 min100%
Import data as a MATLAB table. Work with data stored as a table.<\/p>\n\n\n\n

Lessons:<\/strong>
Course Example – Storing Premier League Data
Storing Data in a Table
Sorting Table Data
Extracting Portions of a Table
Extracting Data from a Table
Exporting Tables
Summary of Tables of Data
Organizing Data145 min100%
Store data in relevant data types. Operate on the data types.<\/p>\n\n\n\n

Lessons:<\/strong>
Course Example – Premier League Team Information
Combining Tables
Table Properties
Indexing into Cell Arrays
Working with Dates and Times
Operating on Dates and Times
Representing Discrete Categories
Summary of Organizing Data<\/p>\n\n\n\n

Preprocessing Data85 min5%
Perform typical data preprocessing tasks in MATLAB, including normalizing data and dealing with missing data.<\/p>\n\n\n\n

Lessons:<\/strong>
Course Example – Preprocessing Electricity Usage Data
Normalizing Data
Working with Missing Data
Interpolating Missing Data
Summary of Preprocessing Data
Common Data Analysis Techniques85 min
Perform common data analysis tasks in MATLAB, including smoothing data and fitting polynomials.<\/p>\n\n\n\n

Lessons:<\/strong>
Course Example – Analyzing Electricity Consumption
Moving Window Operations
Linear Correlation
Polynomial Fitting
Summary of Common Data Analysis Techniques
Programming Constructs170 min
Create flexible code that can interact with the user, make decisions, and adapt to different situations.<\/p>\n\n\n\n

Lessons:<\/strong>
Course Example – Comparing Prices
User Interaction
Decision Branching
Determining Size
For Loops
While Loops
Summary of Programming Constructs
Increasing Automation with Functions90 min
Increase automation by encapsulating modular tasks as user-defined functions. Understand how MATLAB resolves references to files and variables.<\/p>\n\n\n\n

Lessons:<\/strong>
Course Example – Electricity Consumption in Different Sectors
Creating and Calling Functions
Function Files
Workspaces
MATLAB Path and Calling Precedence
Summary of Functions
Troubleshooting Code35 min
Explore MATLAB tools for debugging and measuring code performance.<\/p>\n\n\n\n

Lessons:<\/strong>
Course Example – Debugging
Code Analyzer
Debugging Run-Time Errors
Summary of Troubleshooting Code
Review Project II15 min
Tie together several topics covered in the course<\/p>\n\n\n\n

Lessons:<\/strong>
Project – Review of Fundamentals
Conclusion5 min
Learn next steps and give feedback on the course.<\/p>\n\n\n\n

Lessons:<\/strong>
Additional Resources
Survey<\/p>\n\n\n\n

MATLAB Fundamentals<\/strong><\/p>\n\n\n\n

Working with the MATLAB User Interface<\/strong><\/td>Objective: <\/strong>Become familiar with the main features of the MATLAB integrated design environment and its user interfaces. Get an overview of course themes.Reading data from filesSaving and loading variablesPlotting dataCustomizing plotsExporting graphics for use in other applications<\/td><\/tr>
Variables and Commands<\/strong><\/td>Objective: <\/strong>Enter MATLAB commands, with an emphasis on creating variables, accessing and manipulating data in variables, and creating basic visualizations. Collect MATLAB commands into scripts for ease of reproduction and experimentation.Entering commandsCreating numeric and character variablesMaking and annotating plotsGetting helpCreating and running live scripts<\/td><\/tr>
Analysis and Visualization with Vectors<\/strong><\/td>Objective: <\/strong>Perform mathematical and statistical calculations with vectors. Use MATLAB syntax to perform calculations on whole data sets with a single command. Organize scripts into logical sections for development, maintenance, and publishing.Performing calculations with vectorsAccessing and modifying values in vectorsFormatting and sharing live scripts<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
Analysis and Visualization with Matrices<\/strong><\/td>Objective: <\/strong>Use matrices as mathematical objects or as collections of (vector) data. Understand the appropriate use of MATLAB syntax to distinguish between these applications.Creating and manipulating matricesPerforming calculations with matricesCalculating statistics with matrix dataVisualizing matrix data<\/td><\/tr>
Tables of Data<\/strong><\/td>Objective: <\/strong>Import data as a MATLAB table. Work with data stored as a table.Storing data as a tableOperating on tablesExtracting data from tablesModifying tables<\/td><\/tr>
Conditional Data Selection<\/strong><\/td>Objective: <\/strong>Extract and analyze subsets of data that satisfy given criteria.Logical operations and variablesFinding and countingLogical indexing<\/td><\/tr>
Organizing Data<\/strong><\/td>Objective: <\/strong>Organize table data for analysis. Represent data using appropriate native MATLAB data types.Combining tables of dataTable metadataDates and durationsDiscrete categories<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
Analyzing Data<\/strong><\/td>Objective: <\/strong>Perform typical data analysis tasks in MATLAB, including importing data from files, preprocessing data, fitting a model to data, and creating a customized visualization of the model.Importing from spreadsheets and delimited text filesDealing with missing dataPlotting functionsCustomizing plots<\/td><\/tr>
Increasing Automation with Programming Constructs<\/strong><\/td>Objective: <\/strong>Create flexible code that can interact with the user, make decisions, and adapt to different situations.Programming constructsUser interactionDecision branchingLoops<\/td><\/tr>
Increasing Automation with Functions<\/strong><\/td>Objective: <\/strong>Increase automation by encapsulating modular tasks as user-defined functions. Understand how MATLAB resolves references to files and variables. Use MATLAB development tools to find and correct problems with code.Creating functionsCalling functionsSetting the MATLAB pathDebuggingUsing breakpointsCreating and using structures<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

\u0e04\u0e48\u0e32\u0e40\u0e23\u0e35\u0e22\u0e19 MATLAB for Data Processing and Visualization<\/strong> Virtual 750 USD \/200 USD (2021)<\/p>\n\n\n\n

Importing Data<\/strong><\/td>Objective: <\/strong>Read text files that contain a mixture of data types, delimiters, and headers.Import a mixture of data types from arbitrarily formatted text filesImport only required columns of data from a text fileImport and merge data from multiple files<\/td><\/tr>
Processing Data<\/strong><\/td>Objective: <\/strong>Process raw imported data by extracting, manipulating, aggregating, and counting portions of data.Process data with missing elementsCreate and modify categorical arraysAggregate, bin, and count groups of data<\/td><\/tr>
Customizing Visualizations<\/strong><\/td>Objective: <\/strong>Annotate and modify standard plots to produce informative customized graphics.Determine properties of graphics objects and their associated valuesLocate and manipulate graphics objectsCustomize plots by modifying properties of graphics objects<\/td><\/tr>
Working with Irregular Data<\/strong><\/td>Objective: <\/strong>Import and visualize scattered data from text files with irregular formatting.Parse text files to determine formattingImport data from separate sections of a text fileExtract data from container variablesInterpolate irregularly spaced three-dimensional dataVisualize three-dimensional data in two and three dimensions<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Further study<\/strong>
https:\/\/www.mathworks.com\/matlabcentral\/answers\/
https:\/\/www.mathworks.com\/matlabcentral\/fileexchange\/
https:\/\/www.mathworks.com\/help\/index.html
https:\/\/www.mathworks.com\/content\/dam\/mathworks\/fact-sheet\/matlab-basic-functions-reference.pdf
https:\/\/www.mathworks.com\/services\/training\/courses.html<\/p>\n\n\n\n

1. Getting Started<\/h1>\n\n\n\n

<\/a><\/p>\n\n\n\n

Summary: Getting Started<\/h1>\n\n\n\n

Creating Variables<\/h2>\n\n\n\n
\"\"<\/figure>\n\n\n\n
\"\"<\/figure>\n\n\n\n
\"\"<\/figure>\n\n\n\n
\"\"<\/figure>\n\n\n\n

Modifying Variables<\/h2>\n\n\n\n
You can use the Up<\/strong> (\u2191) and Down<\/strong> (\u2193) arrows on the keyboard to scroll through previous commands.<\/td><\/tr>
\"keyboard<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

Cleaning Up<\/h2>\n\n\n\n

clear<\/code><\/a>Clears variables from the workspace.clc<\/code><\/a>Clears the Command Window and moves the cursor to the upper left corner of the window.<\/p>\n\n\n\n

Import Tool<\/h2>\n\n\n\n

You can use the Import Tool to interactively bring your data into MATLAB.<\/p>\n\n\n\n\n\n

Saving and Loading Data<\/h2>\n\n\n\n

You can save and load MAT-files programmatically using the save<\/code> and load<\/code> commands.<\/p>\n\n\n\n

Creates myData.mat<\/code> containing current workspace variables.<\/td><\/td>save myData<\/td><\/tr>
Instead of saving the entire MATLAB workspace, you can selectively save individual variables. Saves x<\/code> and y<\/code> to someFile.mat<\/code>.<\/td><\/td>save someFile x y<\/td><\/tr>
Loads variables from myData.mat<\/code> into current workspace.<\/td><\/td>load myData<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

save<\/code><\/a>Saves workspace variables to a MAT-file.load<\/code><\/a>Loads variables from a MAT-file into the workspace.<\/p>\n\n\n\n

Obtaining Help<\/h2>\n\n\n\n

You can access the documentation with the doc<\/code><\/a> function at the command line or from the toolstrip.<\/p>\n\n\n\n

\"threeYou can filter search results by product and type of page.<\/p>\n\n\n\n

\"searchDocumentation pages for functions have information organized with increasing levels of detail.<\/p>\n\n\n\n

\"anatomy<\/p>\n\n\n\n

\n\n\n\n

<\/a><\/p>\n\n\n\n

2. Plotting and Common Modifications<\/h1>\n\n\n\n

<\/a><\/p>\n\n\n\n

Summary: Plotting and Common Modifications<\/h1>\n\n\n\n
Here, the plot<\/code><\/a> function plots Germany<\/code> against Year<\/code>.<\/td><\/td>plot(Year,Germany)\"Plot

<\/td><\/tr>
You can also use an optional line specification string to change properties of the plot.

To see options for line style, line color, and marker style, reference the documentation for
\u201cLine Specification<\/a>\u201d.<\/td>		<\/td>plot(Australia,Germany,”mo”)\"Plot
<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

The hold on<\/code> command allows you to plot multiple data sets together on the same axes.<\/p>\n\n\n\n

\"hold<\/p>\n\n\n\n

Annotating Plots<\/h2>\n\n\n\n

Textual information can be added to plots using separate annotation functions. All of these functions take text input.
title<\/code><\/a>Add title to plotxlabel<\/code><\/a>Label the x-axisylabel<\/code><\/a>Label the y-axislegend<\/code><\/a>Add legend to plot
Grid lines can be added or removed to plots.
grid<\/code><\/a>Display axes grid lines<\/p>\n\n\n\n

Example<\/h3>\n\n\n\n
title(\"Gasoline Prices\")\nxlabel(\"Year\")\nylabel(\"Price (USD\/L)\")\nlegend(\"Germany\",\"Australia\",\"Mexico\",...\n    \"Location\",\"northwest\")\ngrid on<\/pre>\n\n\n\n\n\n
Axis Control<\/h2>\n\n\n\n
Get Axes Limits<\/h3>\n\n\n\n
 v = axis\n\n v =\n     0  12  0.1  0.9\n            <\/pre>\n\n\n\n
\"\"<\/figure>\n\n\n\n
Custom Axis Limits<\/h3>\n\n\n\n
 xlim([-1 13])     \n ylim([-1 2])\n            <\/pre>\n\n\n\n
\"\"<\/figure>\n\n\n\n
Axis Limits = Data Range<\/h3>\n\n\n\n
 axis tight\n            <\/pre>\n\n\n\n
\"\"<\/figure>\n\n\n\n
Exporting a Figure<\/h2>\n\n\n\n
You can either copy and paste output or export a figure as an image file.<\/p>\n\n\n\n
\"copy<\/p>\n\n\n\n
\n\n\n\n
<\/a><\/p>\n\n\n\n
3. Working with Live Scripts<\/h1>\n\n\n\n
<\/a><\/p>\n\n\n\n
Summary: Working with Live Scripts<\/h1>\n\n\n\n
Create and Run a Script<\/h2>\n\n\n\n
Use the controls in the MATLAB toolstrip to create and run scripts.<\/p>\n\n\n\n
<\/td>Create<\/th><\/td><\/td>Run<\/th><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
Code Sections<\/h2>\n\n\n\n
Code sections allow you to organize your code and run sections of code independently. On the Live Editor<\/strong> tab, in the Section<\/strong> section, click Section Break<\/strong> to create a new code section, or press Ctrl+Alt+Enter<\/strong>.<\/p>\n\n\n\n
\"codeYou can run and add code sections in the Section<\/strong> section of the Live Editor<\/strong> tab in the toolstrip.<\/p>\n\n\n\n
<\/p>\n\n\n\n
Comments and Text<\/h2>\n\n\n\n
To insert a line of text, click the Text<\/strong> button in the Text<\/strong> section of the Live Editor<\/strong> tab in the MATLAB Toolstrip.<\/p>\n\n\n\n
Format the text using the formatting options provided in the Text<\/strong> section.<\/p>\n\n\n\n
<\/p>\n\n\n\n
Comments<\/h3>\n\n\n\n
To create a comment, add % comment<\/em><\/code> where you want to add more information.<\/p>\n\n\n\n
load AuDeMx\n% Converts from US$\/gal to US$\/L\ngal2lit = 0.2642;    % conversion factor\nGermany = gal2lit*Germany;\nAustralia = gal2lit*Australia;\nMexico = gal2lit*Mexico;\n    <\/pre>\n\n\n\n
Exporting Live Script Files<\/h1>\n\n\n\n
You can export your live script and results using the Save<\/strong> button in the Live Editor<\/strong> tab.<\/p>\n\n\n\n
Available formats include PDF, Word, HTML, and LaTeX.<\/p>\n\n\n\n\n\n
\n\n\n\n
<\/a><\/p>\n\n\n\n
4. Creating and Manipulating Arrays<\/h1>\n\n\n\n
<\/a><\/p>\n\n\n\n
Summary: Creating and Manipulating Arrays<\/h1>\n\n\n\n
Manually Entering Arrays<\/h2>\n\n\n\n
Create a Row Vector<\/h3>\n\n\n\n
Use square brackets and separate the values using a comma or a space. <\/p>\n\n\n\n
a = [10 15 20 25]\n\na =\n     10  15  20  25<\/pre>\n\n\n\n
Create a Column Vector<\/h3>\n\n\n\n
Use square brackets and separate the values using a semi-colon. <\/p>\n\n\n\n
b = [2;3;5;7]\n\nb =\n     2\n     3\n     5\n     7<\/pre>\n\n\n\n
Transpose a Vector<\/h3>\n\n\n\n
Use the transpose operator <\/p>\n\n\n\n
'<\/pre>\n\n\n\n
. <\/p>\n\n\n\n
c = b'\n\nc =\n     2  3  5  7<\/pre>\n\n\n\n
Create a Matrix<\/h3>\n\n\n\n
Use square brackets and enter values row-by-row. Separate values in a row using a comma or a space, and use a semicolon to start a new row. <\/p>\n\n\n\n
A = [1 3 5;2 4 6]\n\nA =\n     1  3  5\n     2  4  6<\/pre>\n\n\n\n
Creating Evenly-Spaced Vectors<\/h2>\n\n\n\n
Given the Start Value, End Value, and Interval<\/h3>\n\n\n\n
Use the colon operator to separate the starting value, interval, and the ending value. <\/p>\n\n\n\n
a = 3:2:7\n\na =\n     3  5  7<\/pre>\n\n\n\n
When Interval is 1<\/h3>\n\n\n\n
Use the colon operator to separate the starting and the ending value. <\/p>\n\n\n\n
b = 3:7\n\nb =\n     3  4  5  6  7<\/pre>\n\n\n\n
Given the Start Value, End Value, and Number of Elements<\/h3>\n\n\n\n
Use the function linspace<\/code> when the number of elements in the vector are known. <\/p>\n\n\n\n
c = linspace(3.2,8.1,5)\n\nc =\n     3.2  4.42  5.65  6.87  8.1<\/pre>\n\n\n\n
Concatenating Arrays<\/h2>\n\n\n\n
Horizontal Concatenation<\/h3>\n\n\n\n
\"horizontalSeparate elements using a comma (,)<\/strong> or space (  )<\/strong><\/p>\n\n\n\n
Vertical Concatenation<\/h3>\n\n\n\n
\"verticalSeparate elements using a semicolon (;)<\/strong><\/p>\n\n\n\n
Combined Concatenation<\/h3>\n\n\n\n
\"verticalCreate each row separating elements with a comma (,)<\/strong> or space (  )<\/strong>, then separate the rows with a semicolon (;)<\/strong><\/p>\n\n\n\n
Array Creation Functions<\/h2>\n\n\n\n
Several functions exist that allow you to create arrays.<\/p>\n\n\n\n
\"\"<\/figure>\n\n\n\n
\"\"<\/figure>\n\n\n\n
<\/td>       <\/td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
Most of these functions support the calling syntaxes shown below.<\/p>\n\n\n\n
Calling syntax<\/th>Output<\/th><\/tr><\/thead>
fun<\/em>(m<\/em>,n<\/em>)<\/code><\/td>m-by-n<\/td><\/tr>
fun<\/em>(n<\/em>)<\/code><\/td>n-by-n<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
Reshaping Arrays<\/h2>\n\n\n\n
The following column of information is reshaped into a matrix.<\/p>\n\n\n\n
\"reshaping<\/p>\n\n\n\n
<\/td><\/td>x = rand(260,1);<\/td><\/tr>
Specify the dimensions for the new array.<\/td><\/td>y = reshape(x,5,52);<\/td><\/tr>
For convenience, you can also leave one of the dimensions blank when calling reshape<\/code><\/a> and that dimension will be calculated automatically.<\/td><\/td>y = reshape(x,5,[]);<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
\n\n\n\n
<\/a><\/p>\n\n\n\n
5. Accessing Data in Arrays<\/h1>\n\n\n\n
<\/a><\/p>\n\n\n\n
Summary: Accessing Data in Arrays<\/h1>\n\n\n\n
Indexing into Vectors<\/h2>\n\n\n\n
\"vector<\/p>\n\n\n\n
Indexing into Matrices<\/h2>\n\n\n\n
Row, Column Indexing<\/h3>\n\n\n\n
Whether you’re indexing into a matrix with scalar values or vector values, the format is always the same.Use the row number to index.<\/p>\n\n\n\n
If multiple rows are to be extracted, create a vector<\/strong> containing the row numbers and use that as the row index. <\/p>\n\n\n\n
output = M(row<\/em>,column<\/em>)<\/pre>\n\n\n\n
Use the column number or a vector of column numbers to be extracted as the column index. <\/p>\n\n\n\n
output = M(row<\/em>,column<\/em>)<\/pre>\n\n\n\n
This is row-comma<\/strong>-column indexing. Separate the row index and column index by a comma. <\/p>\n\n\n\n
output = M(row<\/em>,column<\/em>)<\/pre>\n\n\n\n
Extract a single element<\/h3>\n\n\n\n
output = M(2,3)<\/pre>\n\n\n\n
<\/td><\/td><\/td><\/td><\/tr>
<\/td><\/td><\/td><\/td><\/tr>
<\/td><\/td><\/td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
M<\/code><\/p>\n\n\n\n
Extract multiple elements<\/h3>\n\n\n\n
output = M(2,[3 4])<\/pre>\n\n\n\n
<\/td><\/td><\/td><\/td><\/tr>
<\/td><\/td><\/td><\/td><\/tr>
<\/td><\/td><\/td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
M<\/code><\/p>\n\n\n\n
Extract multiple contiguous elements<\/h3>\n\n\n\n
output = M(2,2:4)<\/pre>\n\n\n\n
<\/td><\/td><\/td><\/td><\/tr>
<\/td><\/td><\/td><\/td><\/tr>
<\/td><\/td><\/td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
M<\/code><\/p>\n\n\n\n
Extract complete rows or columns<\/h3>\n\n\n\n
output = M(2,:)<\/pre>\n\n\n\n
<\/td><\/td><\/td><\/td><\/tr>
<\/td><\/td><\/td><\/td><\/tr>
<\/td><\/td><\/td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
M<\/code><\/p>\n\n\n\n
\n\n\n\n
<\/a><\/p>\n\n\n\n
6. Mathematical and Statistical Operations with Arrays<\/h1>\n\n\n\n
<\/a><\/p>\n\n\n\n
Summary: Mathematical and Statistical Operations with Arrays<\/h1>\n\n\n\n
Performing Operations on Arrays<\/h2>\n\n\n\n
There are many operators that behave in element-wise manner, i.e., the operation is performed on each element of the array individually.<\/p>\n\n\n\n
Mathematical Functions<\/h2>\n\n\n\n
\"\"<\/figure>\n\n\n\n
Other Similar Functions<\/th><\/tr><\/thead>
sin<\/code><\/td>Sine<\/td><\/tr>
cos<\/code><\/td>Cosine<\/td><\/tr>
log<\/code><\/td>Logarithm<\/td><\/tr>
round<\/code><\/td>Rounding Operation<\/td><\/tr>
sqrt<\/code><\/td>Square Root<\/td><\/tr>
mod<\/code><\/td>Modulus<\/td><\/tr>
Many more<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
Scalar Expansion<\/h2>\n\n\n\n
\"\"<\/figure>\n\n\n\n
Operators<\/th><\/tr><\/thead>
+<\/code><\/td>Addition<\/td><\/tr>
-<\/code><\/td>Subtraction<\/td><\/tr>
*<\/code><\/td>Multiplication<\/td><\/tr>
\/<\/code><\/td>Division<\/td><\/tr>
^<\/code><\/td>Exponentiation<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
Arithmetic Operators<\/h2>\n\n\n\n
\"\"<\/figure>\n\n\n\n
Operators<\/th><\/tr><\/thead>
+<\/code><\/td>Addition<\/td><\/tr>
-<\/code><\/td>Subtraction<\/td><\/tr>
.*<\/code><\/td>Element-wise Multiplication<\/td><\/tr>
.\/<\/code><\/td>Element-wise Division<\/td><\/tr>
.^<\/code><\/td>Element-wise Exponentiation<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
Note that, for performing the arithmetic operations on two matrices, they should have identical dimensions.<\/p>\n\n\n\n
Implicit Expansion<\/h2>\n\n\n\n
\"\"<\/figure>\n\n\n\n
Operators<\/th><\/tr><\/thead>
+<\/code><\/td>Addition<\/td><\/tr>
-<\/code><\/td>Subtraction<\/td><\/tr>
.*<\/code><\/td>Element-wise Multiplication<\/td><\/tr>
.\/<\/code><\/td>Element-wise Division<\/td><\/tr>
.^<\/code><\/td>Element-wise Exponentiation<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
Array operations can be performed on operands of different compatible<\/em> sizes. Two arrays have compatible sizes if the size of each dimension is either the same or one.<\/p>\n\n\n\n
Calculating Statistics of Vectors<\/h2>\n\n\n\n
Common Statistical Functions<\/h3>\n\n\n\n
Function<\/th>Description<\/th><\/tr><\/thead>
min<\/code><\/td>Returns the minimum element<\/td><\/tr>
max<\/code><\/td>Returns the maximum element<\/td><\/tr>
mean<\/code><\/td>Returns the average of the elements<\/td><\/tr>
median<\/code><\/td>Returns the median value of the elements<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
Using min<\/code> and max<\/code><\/h3>\n\n\n\n
\"min<\/p>\n\n\n\n
Ignoring NaNs<\/h3>\n\n\n\n
When using statistical functions, you can ignore NaN values<\/p>\n\n\n\n
  avg = mean(v,\"omitnan\")<\/pre>\n\n\n\n
Statistical Operations on Matrices<\/h2>\n\n\n\n
Some common mathematical functions which calculate a value for each column in a matrix include:<\/p>\n\n\n\n
Function<\/th>Behavior<\/th><\/tr><\/thead>
max<\/code><\/td>Largest elements<\/td><\/tr>
min<\/code><\/td>Smallest elements<\/td><\/tr>
mean<\/code><\/td>Average or mean value<\/td><\/tr>
median<\/code><\/td>Median value<\/td><\/tr>
mode<\/code><\/td>Most frequent values<\/td><\/tr>
std<\/code><\/td>Standard deviation<\/td><\/tr>
var<\/code><\/td>Variance<\/td><\/tr>
sum<\/code><\/td>Sum of elements<\/td><\/tr>
prod<\/code><\/td>Product of elements<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
<\/td><\/td>A = [8 2 4 ; 3 2 6 ; 7 5 3 ; 7 10 8] A = 8 2 4 3 2 6 7 5 3 7 10 8<\/td><\/tr>
<\/td><\/td>Amax = max(A) Amax = 8 10 8<\/td><\/tr>
<\/td><\/td>Astd = std(A) Astd = 2.2174 3.7749 2.2174<\/td><\/tr>
<\/td><\/td>Asum = sum(A) Asum = 25 19 21<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
Many statistical functions accept an optional dimensional argument that specifies whether the operation should be applied to columns independently (the default) or to rows.
\"cols<\/p>\n\n\n\n
>> M = mean(A,dim)<\/pre>\n\n\n\n
M<\/code><\/td>Vector of average values along dimension dim<\/code>.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
A<\/code><\/td>Matrix<\/td><\/tr>
dim<\/code><\/td>Dimension across which the mean is taken.
1<\/code>: the mean of each column
2<\/code>: the mean of each row<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
Matrix Multiplication<\/h2>\n\n\n\n
Matrix multiplication requires that the inner dimensions agree. The resultant matrix has the outer dimensions.<\/p>\n\n\n\n
\"inner
\"outer<\/p>\n\n\n\n
Solving Systems of Linear Equations<\/h3>\n\n\n\n
Expression<\/th>Interpretation<\/th><\/tr><\/thead>
x = B\/A<\/td>Solves x*A = B<\/code> (for x<\/code>)<\/td><\/tr>
x = A\\B<\/td>Solves A*x = B<\/code> (for x<\/code>)<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
\n\n\n\n
<\/a><\/p>\n\n\n\n
7. Visualizing Data in 2D and 3D<\/h1>\n\n\n\n
<\/a><\/p>\n\n\n\n
Summary: Visualizing Data in 2D and 3D<\/h1>\n\n\n\n
Identifying Available Plot Types<\/h2>\n\n\n\n
Function<\/th>Description<\/th><\/tr><\/thead>
scatter<\/code><\/td>Scatter plot, with variable marker size and color<\/td><\/tr>
bar<\/code><\/td>Bar graph (vertical and horizontal)<\/td><\/tr>
stem<\/code><\/td>Discrete sequence (signal) plot<\/td><\/tr>
stairs<\/code><\/td>Stairstep graph<\/td><\/tr>
area<\/code><\/td>Filled area plot<\/td><\/tr>
pie<\/code><\/td>Pie chart<\/td><\/tr>
histogram<\/code><\/td>Histogram<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
See the complete list of all available plots here<\/a>.<\/p>\n\n\n\n
Annotating with Multiple Strings of Text<\/h2>\n\n\n\n
Arrays of strings are useful for annotating visualizations. Use square brackets, []<\/code>, with spaces and semicolons, ;<\/code> to create a string array the same way you create a numeric matrix.<\/p>\n\n\n\n
        x = [\"hello\" \"sweet\";\"peaceful\" \"world\"]\n        x =\n            2\u00d72 string<\/strong> array\n            \"hello\"      \"sweet\"\n            \"peaceful\"   \"world\"\n    <\/pre>\n\n\n\n
xticks<\/code><\/a>Sets tick locations along the x-axis.xticklabels<\/code><\/a>Labels the x-axis ticks.xtickangle<\/code><\/a>Rotates the x-axis tick labels.<\/p>\n\n\n\n
Customizing Plot Properties<\/h2>\n\n\n\n
Specifying Property Values<\/h2>\n\n\n\n
plot(x,y,linespec,Property1<\/em>,Value1<\/em>,Property2<\/em>,Value2<\/em>,Property3<\/em>,Value3<\/em>,...)<\/pre>\n\n\n\n
Common line properties to modify:<\/p>\n\n\n\n