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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
Example of Median For the vector [1 4 5 9 12 33], the median is the average of the 5 & 9 in the middle: >> median([1 4 5 9 12 33]) ans = 7
Illustrations of Sequential search: The two illustrations of calling such function is as shown below: >> values = [85 70 100 95 80 91]; >> key = 95; >> seqsearch
Function polyval - interpolation: The function polyval can then be used to compute the polynomial at particular values. For illustration, we could compute at every value in th
Sequential Search: A sequential search is completed by looping through the vector element-by-element starting from the beginning, looking for the key. Usually the index of the
Illustration of Mode When there is more than one value with similar (highest) frequency, then the smaller value is mode. In the case below, as 3 and 8 appear twice in the vecto
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
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
Combining Nested FOR Loops and the IF Statements: The statements inside a nested loop can be any of the valid statement, involving any selection statement. For e.g., there can
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
Representing Logical true and False: It has been stated that expressions which are theoretically true really have the integer value of 1, and expressions which are theoretical
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