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Random processes
All of the Prob. & Stochastic processes books I came across use these 2 terms synonymously.
A realisation of a stochastic process or random process is a possible scenario or an outcome. When you refer to a random/stochastic process you refer to something you don't know...
It's just Markov's ineq
\[X \ge 0, \epsilon > 0, P(X \ge \epsilon) \le \frac{E(X)}{\epsilon}\]
\[P(X \ge \sqrt \eta) \le \frac{\eta}{\sqrt \eta}\]
proof of Markov's ineq can be found in almost all probability books.
complete clean: x=0
wage w= 2 + 6(0) = 2
satisfaction u = √2 -2(0) = √2 ≈1.4142
complete dirty: x=1
wage w=2 + 6(1) = 8
satisfaction u = √8 -2(1) ≈2.8284 -2 ≈0.8284
a) Is this employe more happier in a complete "clean"job or a complete "dirty"job?
Since utility of clean job 1.4142 > utility...
feature extraction, pca, fingerprint, matlab
I wouldn't recommend this autocorrelation .
This method is hardly used in practice based on its limitations. This method could work with images that are identical (no stretch, bend, etc.) Due to fine details nature of fingerprint image, a little...
It's just a normalization factor, so that you get
x[n]-(forward)->X[k]-(inverse)->x[n]
Therefore, it doesn't matter whether you put 1/N at the forward, at the inverse, or even split it up to 1/sqrt(N) for both forward and inverse.
1. Theoretically, there is no limitation that the size has to be multiples of 8. You can do the DCT at any arbitrary size.
2. MATLAB wise, dct2() can do the 2D DCT of any arbitrary size also. See https://www.mathworks.com/access/helpdesk_r13/help/toolbox/images/dct2.html
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