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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 multiplying a row vector a by a column vector b; and the result is a scalar. This can be accomplished by using the * operator and transposing the second vector, or by using the dot function in a MATLAB:
>> vec1 = [4 2 5 1];
>> vec2 = [3 6 1 2];
>> vec1*vec2'
ans =
31
>> dot(vec1,vec2)
Illustration of Sound files: For illustration, the following script generates a subplot which shows the signals from chirp and from train, which is as shown in figure:
Simplification Functions: There are numerous functions which work with expressions, and simplify the terms. Not all the expressions can be simplified, but the simplify functio
Splits a string : The strtok function splits a string into pieces; it can be called in many ways. The function receives one string as an input argument. It appears for the fir
analyzing traffic; determine motion of flow; calculate tracklets; detect abnormalities;
Forward elimination: In forward elimination, we want to obtain a 0 in the a 21 position. To accomplish this, we can alter the second line in the matrix by subtracting from it
Use of built-in colormaps: MATLAB has built-in colormaps, it is also possible to generate others by using combinations of any colors. For illustration, the following generates
. Generate the following signal, x(n)=1+cos((25*pi*n)/100),0 Compute the DTFT of x[n] for w=0:0.01:2*pi Plot the Real part, imaginary part, the amplitude and phas
Finding a sting - function strfind: The function strfind does necessarily similar thing, except that the order of the arguments does make dissimilarity. The common form is str
Example to change the line width from the default: For illustration, to change the line width from the default of 0.5 to 1.5: >> set(hl,'LineWidth',1.5) As long as the
Cross Product: The cross or outer product a × b of two vectors a and b is defined only whenever both a and b are the vectors in three-dimensional space, that means that they b
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