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Built-in function for Differentiation:
The MATLAB has a built-in function, diff that returns the differences between consecutive elements in a vector. For illustration,
>> diff([4 7 15 32])
ans =
3 8 17
For a function y = f(x) here x is a vector, and the values of f '(x) can be approximated as diff(y) divided by diff(x). For illustration, the earlier equation can be written as an anonymous function.
>> f = @ (x) x .^ 3 + 2 .* x .^ 2 - 4 .* x + 3;
>> x = 1:3;
>> y = f(x)
y =
2 11 36
>> diff(y)
9 25
>> diff(x)
1 1
>> diff(y) ./ diff(x)
Illustration of Logical vectors: Calling the function appears to return similar vector as simply vec > 5, and summing the result still works to determine how many elements wer
Illustration of Standard Deviation The less spread out the numbers are, therefore smaller the standard deviation will be, as it is a way of determining the spread of the data.
m=2/3 b=4/5
Illustration of Spreadsheet Files: This reads the numbers in a double vector variable nums and the text in a cell array txt (the xlsread function forever returns the numbers f
Illustration of Writing to files: Here is the other illustration in which a matrix is written to a file. At First, an arbitrary 2 × 4 matrix is generated, and then it is writt
Counting in a While Loop: Whenever it is not known ahead of the time how many values will be entered into the script, it is often essential to count the number of values which
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
Illustration of Variance For illustration, for the vector [4, 6, 1, 5], there are n = 4 values therefore n - 1 is 3. The mean of this data set is also 4. The variance will be
Empty Vectors: An empty vector or in another words, a vector which stores no values, can be generated using the empty square brackets: >> evec = [] evec = [] >> lengt
Minimum and Maximum Value The MATLAB has built-in functions for numerous statistics. For illustration, min and max to find the minimum or maximum value in a data set. >> x
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