... If we integrate between x values for which the graph is ... and therefore the answer can not be found by integration. ... find the total cost and the average value with ...

... you take the classical limit then this coarse grained average will be smooth function because you've averaged out the ... The average of x^2 is the integral of x ...

... the first sum (as before we can simply bring the integral into the sum ... let's look at the function It is an odd function in the ... The average value is provided. ...

... We shall use the known integral: ... is: 2 x − 4 P ( x) = a 2 xe a3 π The expectation value of any function of x (the average) is defined ...

... then its Sturm-Liouville series will converge to the average value of f ... equation, which can be used as a Green's function to build an integral formula for ...

... variable, the cumulative distribution function is the integral of its ... b) the events occur at a constant average rate; ... of X has no influence on the value of Y ...

... Expected Value: The average value an experiment is expected ... the expected value (or expectation value, or mathematical ... a random variable is the integral of the ...

... we measure say in 10 samples an average outcome of ... if any value of comes with uncertainty value of , it ... This is not a trivial integral since the function...

... Actually computing such time averages is out of the ... s (4.8) where E is the ensemble average of the ... The three integrals are then identical Gaussian integrals. ...

... discuss how each company compares to the industry averages. ... The accompanying notes are an integral part of ... has sold below cost during the average selling cycle ...