Repetitive computations

Computing problems Solved by executing a series of actions in a specific order Algorithm a procedure determining Actions to be executed Order to be executed. Example: recipe Program control Specifies the order in which statements are executed

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Programming tools: Input/output (assign/graph-&-display) Repetition (for) Decision (if) Arrays List of numbers in brackets A comma or space separates numbers (columns) A semicolon separates row Zeros and ones Matrices: zeros() ones() Indexing (row,column) Colon Operator: Range of Data first:last or first:increment:last Manipulating Arrays & Matrices Transpose

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Variables, Naming Rules, Arrays (numbers, scalars, vectors, matrices), Arithmetical Operations, Defining and manipulating arrays Variables What are variables? You name the variables (as the programmer) and assign them numerical values.

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An enumeration of a collection of items is a complete, ordered listing of all of the items in that collection. The term is commonly used in mathematics and theoretical computer science to refer to a listing of all of the elements of a set. In statistics the term categorical variable is used rather than enumeration. The precise requirements for an enumeration (for example, whether the set must be finite, or whether the list is allowed to contain repetitions) depend on the branch of mathematics and the context in which one is working....

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In computer programming, conditional loops or repetitive control structures are a way for computer programs to repeat one or more various steps depending on conditions set either by the programmer initially or real-time by the actual program.

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The for loop is a MATLAB construct that allows a sequence of MATLAB statements to be executed more than once. The for loop repeats a block of commands for a specified number of times; the specified number is established before the loop is executed.

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Lecture series based on the text: Essential MATLAB for Engineers and Scientists By Hahn & Valentine The Command Window on the right is the main panel where you interact with MATLAB. You key (or type) and commands after the prompt ; MATLAB executes the commands and displays results (if requested). Some commonly used tools and commands: (up arrow) returns last command input, can be repeated clc – clears the screen whos – shows list of variables clear – clears variables

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