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Expanding a function:
The expand function will multiply out terms, and factor will do the opposite:
>> expand((x+2)*(x-1))
ans =
x^2 x-2
>> factor(ans)
(x 2)*(x-1)
The function subs will replace a value for the symbolic variable in an expression. For illustration,
>> myexp = x^3 + 3*x^2 - 2
myexp =
x^3 3*x^2-2
>> x = 3;
>> subs(myexp,x)
52
With symbolic math, a MATLAB works by the default with rational numbers means that the outcomes are kept in fractional forms. For illustration, executing the addition 1/3 + 1/2 would generally answer in a double value:
>> 1/3 + 1/2
0.8333
Though, by making the expression symbolic, the outcome is symbolic also. Any numeric function (example, double) could modify that:
>> sym(1/3 + 1/2)
5/6
>> double(ans)
Illustration of initializing the data structure: illustration of initializing the data structure by preallocating is here as shown: >> cyls(3) = struct('code', 'c', 'dimen
Implementation of binary search: The binary search can be implemented as a recursive function. The recursive function below also implements this binary search algorithm. It re
Replacement : Replace a row by adding it to (or subtract from it) a multiple of the other row. For a given row ri, this is written as ri - srj → ri Note that when r
Binary Search: The binary search supposes that the vector has been sorted first. The algorithm is just similar to the way it works whenever looking for a name in a phone direc
Example of Plotting from a Function: For illustration, the function can be called as shown below: >> y = [1:2:9].^3 y = 1 27 125 343 729
Use polyval to evaluate the derivative at xder. This will be the % slope of the tangent line, "a" (general form of a line: y = ax + b). % 4. Calculate the intercept, b, of t
Example of file ploting data: As the other example, a data file called 'compsales.dat' stores the sales figures (in millions) for divisions in a company. Each line in the f
Illustration sorting vectors of structures: This function sorts the structures depend only on the price field. A more common function is shown next, that receives a string whi
Write a program to examine exponential function: We will write a program to examine the value of e and the exponential function. It will be a menu-driven. The menu options wil
Dot Product: The dot or inner product of two vectors a and b is written as a • b and is defined as In another words, this is like matrix multiplication when multiplyi
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