Application of Stirling's Formula
Not what you're looking for?
An often used application of Stirling's approximation is an asymptotic formula for the binomial coefficient. One can prove that for k = o(n exp3/4),
(n "choose" k) ~ c(ne/k)^(k)
for some appropriate constant c. Can you find the c? Can you say why this only works when k is much smaller than n exp3/4?
Purchase this Solution
Solution Summary
Stirling's approximation is applied. The solution is detailed and well presented. The response received a rating of "5" from the student who posted the question.
Solution Preview
Please see the attached file for the complete solution.
Thanks for using BrainMass.
Proof:
According to the ...
Purchase this Solution
Free BrainMass Quizzes
Graphs and Functions
This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
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.
Probability Quiz
Some questions on probability
Multiplying Complex Numbers
This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.