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 2017-07-15, 01:09 #1 a1call     "Rashid Naimi" Oct 2015 Remote to Here/There 22·503 Posts Translation please, https://www.wolframalpha.com/input/?...Bn,+i%3D1+to+k * What is the semicolon? * How does this expand to: 2n(n2+n)(n3+n)...(nk+n) Thank you in advance.
 2017-07-15, 01:24 #2 Batalov     "Serge" Mar 2008 Phi(4,2^7658614+1)/2 23×52×47 Posts Doesn't it say right there? the q-Pochhammer symbol (a; q)n
2017-07-15, 01:33   #3
a1call

"Rashid Naimi"
Oct 2015
Remote to Here/There

22×503 Posts

Quote:
 Originally Posted by Batalov Doesn't it say right there? the q-Pochhammer symbol (a; q)n
Good eyes.
Thank you.

 2017-07-15, 16:07 #4 a1call     "Rashid Naimi" Oct 2015 Remote to Here/There 22·503 Posts There is sigma as the symbol for sum of series, there is the equivalent symbol for product of series ( what is that symbol called? ). Is there an equivalent symbol/operator for the power of series? Replacing the word "sum" or "product" with "power" in Wolfram alpha does not return expected results. Thank you in advance.
2017-07-15, 16:35   #5
paulunderwood

Sep 2002
Database er0rr

3,631 Posts

Quote:
 Originally Posted by a1call There is sigma as the symbol for sum of series, there is the equivalent symbol for product of series ( what is that symbol called? ).
Capital pi.

Last fiddled with by paulunderwood on 2017-07-15 at 16:35

2017-07-15, 17:39   #6
a1call

"Rashid Naimi"
Oct 2015
Remote to Here/There

7DC16 Posts

Quote:
 Originally Posted by paulunderwood Capital pi.

Doh

 2017-07-15, 18:21 #7 a1call     "Rashid Naimi" Oct 2015 Remote to Here/There 22×503 Posts Correct me if I am wrong, but it should be possible to represent the power-of-series using iteration notation. https://en.m.wikipedia.org/wiki/Iterated_function Would appreciate confirmation or negation. Thank you in advance.
 2017-07-15, 18:36 #8 a1call     "Rashid Naimi" Oct 2015 Remote to Here/There 22·503 Posts The concept seems absent on the net: http://www.google.com/search?q=%22power+of+series%22
2017-07-15, 19:02   #9
science_man_88

"Forget I exist"
Jul 2009
Dumbassville

26×131 Posts

Quote:
 Originally Posted by a1call The concept seems absent on the net: http://www.google.com/search?q=%22power+of+series%22
are we talking geometric series, arithmetic series, harmonic series?, or power series? are they finite, or infinite ? I once saw a math.stackexchange question about powers using arithmetic progressions in order for example ( not quite the same but interesting non the less).

2017-07-15, 19:30   #10
a1call

"Rashid Naimi"
Oct 2015
Remote to Here/There

22×503 Posts

Quote:
 Originally Posted by science_man_88 are we talking geometric series, arithmetic series, harmonic series?, or power series? are they finite, or infinite ? I once saw a math.stackexchange question about powers using arithmetic progressions in order for example ( not quite the same but interesting non the less).
https://www.wolframalpha.com/input/?...Bn,+i%3D1+to+k

https://www.wolframalpha.com/input/?...Bn,+i%3D1+to+k

https://www.wolframalpha.com/input/?...Bn,+i%3D1+to+k

?= (n^1+n)^(n^2 +n)^.... [k times]

Last fiddled with by a1call on 2017-07-15 at 19:32

2017-07-15, 19:50   #11
science_man_88

"Forget I exist"
Jul 2009
Dumbassville

26×131 Posts

Quote:
 Originally Posted by a1call
iterated functions are $f^n(x)$ so like the functions of LL or $M_n$

for LL it's :

$f(x)=x^2-2 \ \pmod {M_p}$ but starting with x=4

for generating the next mersenne number you can use:

$f(x)=2x+1$ starting at x=0 ( or x=1 depending on what you think of 0 being a mersenne number, under one of the definitions) . I guess, I don't get where you are going.

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