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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
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Index vector: The index vector is then used as the indices for original vector. To get grades vector in ascending order, the indices used would be grades (2), grades (5), and
Nested for Loops: The action of a loop can be any of the valid statement(s). Whenever the action of a loop is the other loop, this is known as nested loop. As an illustrati
Sorting Strings: For the matrix of strings, the sort function works exactly as formerly for numbers. For illustration, >> words = char('Hi', 'Hello', 'Howdy', 'Goodbye', '
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
Example of Mode When no value appears more often than any other, the smallest value in the vector will be the mode of the vector. >> shortx = [2 5 1 4]; >> mode(shortx
Debugging Techniques: Any error in the computer program is called a bug. This word is thought to date back to the 1940s, whenever a problem with an early computer was found to
Logical Built-In Functions: There are built-in functions in the MATLAB which are useful in conjunction with vectors or matrices of all logical true or false values; two of the
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',.
Mode The mode of a data set is the value which appears most often. The built-in function in a MATLAB for this is known as the mode. >> x = [9 10 10 9 8 7 3 10 9 8 5 10];
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