My Math Forum Simplify sum

 Linear Algebra Linear Algebra Math Forum

 November 22nd, 2015, 06:45 AM #1 Newbie   Joined: Nov 2015 From: japan Posts: 15 Thanks: 0 Simplify sum Hello, Would you mind tell me ,how can simplify it? please Ln(x) or log(x) doesn't matter for me. I should use the integral or Stirling's approximation. with your opinion, which of these is simpler? Could you simplify it with Stirling's approximation? Thanks Last edited by iranch; November 22nd, 2015 at 06:59 AM.
 November 22nd, 2015, 07:16 AM #2 Global Moderator   Joined: Dec 2006 Posts: 20,805 Thanks: 2150 ln(n!)
November 22nd, 2015, 07:22 AM   #3
Newbie

Joined: Nov 2015
From: japan

Posts: 15
Thanks: 0

Quote:
 Originally Posted by skipjack ln(n!)
Yes, but it want more simplify it.
I have an approximation from ln(n!)

November 22nd, 2015, 09:13 AM   #4
Banned Camp

Joined: Jun 2014
From: Earth

Posts: 945
Thanks: 191

Quote:
 Originally Posted by iranch Yes, but it want more simplify it. I have an approximation from ln(n!)
You want an approximation formula that doesn't use the factorial function,
correct?

November 22nd, 2015, 09:54 AM   #5
Newbie

Joined: Nov 2015
From: japan

Posts: 15
Thanks: 0

Quote:
 Originally Posted by Math Message Board tutor You want an approximation formula that doesn't use the factorial function, correct?
Thank you,
I can solve the above problem.
But now i can another problem.
I want calculate the below summation:

 November 22nd, 2015, 11:33 AM #6 Global Moderator   Joined: Dec 2006 Posts: 20,805 Thanks: 2150 lg(n!) = ln(n!)/ln(2), where lg denotes the base 2 logarithm. It's hard to say what is simplest, as you haven't defined "simplest" or stated what accuracy is needed.

 Tags simplify, sum

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post als98rs Algebra 1 April 8th, 2014 08:04 PM Kinroh Algebra 4 March 26th, 2014 06:09 AM mdocka1 Elementary Math 4 January 19th, 2014 11:51 PM Valar30 Algebra 4 June 11th, 2011 09:56 PM Shamieh Calculus 2 December 31st, 1969 04:00 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top