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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
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
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
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
Use of function polyval: The better the curve fit, the more exact these interpolated and extrapolated values will be. By using the subplot function, we can loop to display the
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
Example of customizing plots: As the other illustration of customizing plots, the pieces of a pie chart can be "exploded" from the rest. In this situation, the two vectors are
Curve Fitting: The data is fundamentally either discrete or continuous. In most of the applications, data is sampled, for illustration, The temperature recorded every ho
Example of Functions which complete a task: For illustration, the function below just prints the number arguments passed to it in a sentence format: As this function i
Vectorizing: In most of the cases in MATLAB, loops are not essential. As MATLAB is written specifically to work with the vectors and matrices, most operations can be completed
Determine sequence weights for the sequences ACTA, ACTT, CGTT, and AGAT in problem 1 by using Thompson, Higgins, and Gibson method a) compute pairwise distances between sequences
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