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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
Roots function - Polynomials: The roots function in MATLAB is used to find the roots of an equation represented by a polynomial. For illustration, for the mathematical functio
Program of Persistent variables: The program below elaborates this. The script calls a function func1 that initializes a variable count to 0, then increment it, and print the
Illustration of Input in a for loop: In this illustration, the loop variable iv iterates through the values 1 through 3, therefore the action is repeated three times. The acti
Logical errors: The Logical errors are more complicated to locate, as they do not result in any error message. The logical error is a mistake in reasoning by the programmer, b
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
Illustration of Indexing: Though, rather than of creating the index vector manually as shown here, the process to initialize the index vector is use to a sort function. The al
Median The median is defined only for a data set which has been sorted first, that means that the values are in order. The median of a sorted set of data values (n) is defined
Nested Structures: The nested structure is a structure in which at least one of the members is itself a structure. For illustration, a structure for the line segment may co
The IF Statement: The if statement selects whether or not the other statement, or group of statements, is executed. The common form of the if statement is as shown below: i
Need of a nested loop: How would we sum each individual column, rather than getting an overall sum? Answer: The programming technique would need a nested loop in whi
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