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Polynomials:
Simple curves are polynomials of various degrees, or orders. The degree is the integer of the highest exponent in the expression. The illustrations are as follows:
A MATLAB represents a polynomial as a row vector of coefficients. For illustration, the polynomial x3 + 2x2 - 4x + 3 would be represented by the vector [1 2 -4 3].
The polynomial 2x4 - x2 + 5 would be represented by [2 0 -1 0 5]; note that the zero terms for x3 and x1.
There are built-in functions sym2poly and poly2sym which convert symbolic expressions to polynomial vectors and vice versa, the illustration is as shown below:
>> myp = [1,2,-4,3];
>> poly2sym(myp)
ans =
x^3+2*x^2-4*x+3
>> mypoly = [2 0 -1 0 5];
>> poly2sym(mypoly)
2*x^4-x^2+5
>> sym2poly(ans)
2 0 -1 0 5
Help function: Function is computing the two values, there are two output arguments in the function header (i.e., area & circum), that are placed in the square brackets [ ]. A
Illustration of Binary search: An illustration to search for the key of 91 in the vector is as shown below: The table below shows what will happen in each iteration of
Indexing: The Indexing is an alternate to sort a vector. With indexing, the vector is left in its original order. An index vector is used to point values in the original vecto
Illustration of nested for loops and the if statements: For illustration,when the file contains: 33 -11 2 4 5 9 22 5 -7 2 11 3 the outco
Core Objects: The Core Objects in MATLAB are the very fundamental graphics primitives. The description can be found under the MATLAB Help: Under the Contents tab, click the Ha
Example of Nested functions: For illustration, the function below computes and returns the volume of a cube. Three arguments are then passed to it, for the width and length of
Steps for input output functions - Lower level file: The steps involved are as shown below: Open the file. Read the file, write to the file, or append to the file.
Input in a While Loop: The script below repeats the procedure of prompting a user, the reading in a positive number, and echo-printing it, as long as the user properly enters
Generic code for Reading from Files: The generic code to complete this is as shown below: fid = fopen('filename'); if fid == -1 disp('File open not suc
Advanced File Input and output: Where 'format' involves the conversion characters much like those used in the fprintf function. For illustration, to read the file 'subjexp.dat
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