Example of a discrete function
[DOC File]Integration of discrete function - MATH FOR COLLEGE
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Here, we will discuss the integration of such discrete functions, where is called the integrand and is given at discrete value of , lower limit of integration. upper limit of integration. Figure 1 . Integration of a function. Integrating discrete functions. Multiple methods of integrating discrete functions are shown below using an example ...
[DOC File]Chebyshev's Inequality : P(
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Discrete probability distribution is called probability mass function (pmf), p(.) and need to satisfy following conditions. 0 ( p(x)=P(X=x) ( 1 for all x where X is a discrete r.v. Examples: Discrete Uniform, Bernoulli, Binomial, Hypergeometric, Negative Binomial, Geometric Distributions.
[DOC File]The Mathematics of Value-at-Risk
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Cumulative Distribution Function of X at a, denoted . F(a), gives the probability that X takes a value less than or equal to a. Mathematically, F(a) = P[Xa] = . Recall, in the discrete setting the expected value of X was defined as follows: E[X] = . The analogous definition in the continuous setting is. E[X] = .
[DOC File]Differentiation of Discrete Functions-More Examples ...
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Differentiation of Discrete Functions-More Examples. Chemical Engineering. Example 1. A new fuel for recreational boats being developed at the local university was tested at an area pond by a team of engineers. Their interest is to document the environmental …
[DOC File]Textbook notes on Discrete Fourier Transform
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In Figure 1, the samples have been taken with a fairly large Thus, these sequence of discrete data will not be able to recover the original signal function. For example, if all discrete values of were connected by piecewise linear fashion, then a nearly horizontal straight line will occur between through , and through , respectively (See Figure 1).
[DOC File]Differentiation of Discrete Functions: General Engineering
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For example, the second order Lagrange polynomial passing through is . Differentiating the above equation gives. Differentiating again would give the second derivative as. Example 3. The upward velocity of a rocket is given as a function of time in Table 3. Table 3. Velocity as a function of time. 0 0 10 227.04 15 362.78 20 517.35 22.5 602.97 ...
[DOC File]CHAPTER 3—RANDOM VARIABLES
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PROBABILITY FUNCTION FOR A DISCRETE RANDOM VARIABLE. Defn: A . Probability Function. for a Discrete RV is a method that provides a probability for every value in S. Notation: A Probability Function for a Discrete RV is denoted by f(x) or fX(x) and is shorthand for Pr{ X = x }.
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