Measurable function
Not what you're looking for?
Show that a function f is measurable IF AND ONLY IF there exists a sequence (f_m) of set functions such that f(x)=lim f_m(x) for almost all x.
Please make sure to show the proof in both directions.
Purchase this Solution
Solution Summary
It shows that a function f is measurable if and only if there exists a sequence (f_m) of set functions such that f(x)=lim f_m(x) for almost all x. The solution shows the proof in both directions. The response is detailed and well presented.
Solution Preview
Please see the attached file for detailed solution.
Show that a function f is measurable IF AND ONLY IF there exists a ...
Purchase this Solution
Free BrainMass Quizzes
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Probability Quiz
Some questions on probability