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Union and Intersection of events, Definition of probability – classical and statistical – examples, Conditional probability, Random variable as function on a sample space, Elementary theorems on probability – simple problems, Binomial distribution, examples of random experiments giving rise to Binominal...
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), then the errors are an instance ofaliasing(see e.g. the"wagon-wheel" effect). For band-limited signals where we sample at a rate > twice the bandwidth, there is no aliasing and no information loss, a result known as theNyquist—Shannon sampling theorem; in the common case where ...
While the main focus of our paper is on the binary rank of the matrix , where the problem has many equivalent formulations and nice connections to other extremal problems, we also looked at the real rank of this matrix and made a small improvement to the bounds on the Rank-Ramsey problem...
Here, starting with an example of optimal control where the minimum does not exist in the class of limit solutions, we propose a notion of extended limit solution\begin{document} $x$ \end{document}, for which such a minimum exists. As a first result, we prove that extended BV (...
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