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What is the conditional expectation function?
It is the integral (or sum) of the joint probability distribution function of the two events, integrated over the domain in which the condition is met.
What are the traits of a probability density function?
Integrated over its domain, the pdf must equal 1.
Does every function has anti derivative?
I would think so, but I am sitting here thinking and I can not think of any function that can not be integrated. * * * * * Whether or not a function can be integrated depends, in part, on the measure that is used on the space. This is getting into seriously heavy mathematics. and the following is only a flavour of what I remember from 35 years ago! Functions with asymptotic values in their domain cannot be integrated over that domain. For example, 1/x is defined everywhere except at x = 0 and so it cannot be integrated over any interval that contains x = 0. Otherwise it is ln(|x|) + c. Another example is that of a function which has infinitely many discontinuities. For example: f(x) = 1 if x is rational and f(x) = 0 if x is irrational over any arbitrary interval, is a perfectly well defined, indicator function. But under some measures, it cannot be integrated.
What is an example of real life square root function?
electricians use the Square Root function when connecting 3 way outlets with the electral current of an intel processor.
What is the function of plotter?
To print out pages much bigger than you can get on a regular printer like maps and posters also to print vector graphics
