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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
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
Tracing: Sometimes, when a program has loops and/or selection statements and is not running properly, it is helpful in the debugging process to know exactly which statements h
Rectangle - graphics objects: The other core graphics object is the rectangle that can have curvature added to it (!!). Merely calling the function rectangle without any argum
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
Example of sorting strings: To sort a cell array of strings, also the sort function is used. The illustration is as follows, >> engcellnames = {'Chemical','Mechanical',.
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
Working of Editor and debugger: Editor/Debugger, or commands can be typed from Command Window. For illustration, the dbstop command below will set a breakpoint in the fifth li
bjjh
Location of a rectangle - graphics objects: The location of a rectangle is [x y w h], where x and y are the coordinates of the lower left point, here w is the width, and h is
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