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Recursive Functions:
The Recursion occurs whenever something is defined in terms of itself. In the programming, a recursive function is a function which calls itself. The Recursion is very commonly used in the programming, however many simple illustrations are really not very efficient and can be substituted by the iterative techniques (loops, or vectorized code in MATLAB). Nontrivial illustrations go beyond the scope; therefore the concept of recursion is easily introduced here.
The illustration used will be of a factorial. Generally, the factorial of an integer n is defined iteratively:
n! = 1 * 2 * 3 * ... * n
For illustration, 4! = 1 * 2 * 3 * 4, or 24.
The other, recursive, definition is:
n! = n * (n - 1)! general case
1! = 1 base case
Standard Deviation The standard deviation is the square root of variance: The built-in function in a MATLAB for the standard deviation is known as std; the standard dev
Differentiation: The derivative of a function y = f(x) can be written as follows or f '(x) and is defined as the rate of change of the dependent variable y with respe
Complex numbers: A complex number is commonly written in the form z = a + bi here a is known as the real part of the number z, b be the imaginary part of z, and i is √-1
Error-checking for integers: illustrations of running this script as shown below: >> readoneint Enter an integer: 9.5 Invalid! Enter an integer: 3.6 Invalid
Histogram: The histogram is a particular type of bar chart which shows the frequency of occurrence of the values within a vector. The Histograms use what are known as bins to
Creating Customized strings: There are many built-in functions which create customized strings, including blanks, char, and sprintf. We know that the char function can be u
Dimensions - matrix: The size and length functions in the MATLAB are used to find array dimensions. Length function returns the number of elements in the vector. The size func
Function xlsread - file function: The function xlsread will read from the spreadsheet file. For illustration, to read from file just generated: >> ssnums = xlsread('ranexc
User input in the while loop: Here is an illustration of running this script: >> readonenum Enter a positive number: -5 Invalid! Enter a positive number: -2.2
m=2/3 b=4/5
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