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Topic: Has anybody ever heard of this? ENTER AT YOUR OWN PERSONAL HEALTH RISK
The Rabbit
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Member # 671
posted September 30, 2003 06:28 PM
Sorry, I thought I'd given a functional definition of the gamma function. Here is more detail. quote: gamma(x) = integral from 0 to inf of t^(x-1) exp(-t) dt. The gamma function interpolates the factorial function. For integer n, gamma(n+1) = n! (n factorial) = prod(1:n).
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wieczorek
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posted September 30, 2003 06:31 PM
pop, if that's what you do from memory, that's excellent.
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wieczorek
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posted September 30, 2003 06:32 PM
sorry rabbit thanks
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wieczorek
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posted September 30, 2003 06:37 PM
quote: 9*(√9)!!-9-√9=42 = 9*(√9)!-9-√9=42 I believe that's correct
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The Rabbit
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posted September 30, 2003 06:39 PM
(sqrt(9)!)!/9+9+gamma(sqrt(9)) = 91 (sqrt(9)!)!/9+9+ sqrt(9) = 92 (sqrt(9)!)!/9+9+sqrt(9)! = 95 [ September 30, 2003, 06:40 PM: Message edited by: The Rabbit ]
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wieczorek
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posted September 30, 2003 06:41 PM
thanks rabbit
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The Rabbit
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posted September 30, 2003 06:44 PM
9^(gamma(sqrt(9))+9+sqrt(9) = 93
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Happy Camper
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posted September 30, 2003 06:47 PM
ah... 58= 9*(√9)!+(gamma(√9)*(gamma(√9)
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Papa Moose
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Member # 1992
posted September 30, 2003 06:49 PM
Yes, minor corrections and all, but the concepts are there. 9!/9/(√9)!!-(√9)!=50 9*(√9)!-9/√9=51 9*(√9)!-(√9)!/(√9)=52 9*(√9)!-9/9=53 9*(√9)!-9+9=54 9*(√9)!+9/9=55 9*(√9)!+(√9)!/(√9)=56 9*(√9)!+9/√9=57 ((√9)!/√9)^(√9)!-(√9)!=58 9!/9/(√9)!!+√9=59 Same caveat.
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Ryuko
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posted September 30, 2003 06:56 PM
(head explodes)
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wieczorek
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posted September 30, 2003 06:56 PM
thanks pop. The ones that have minor corrections are fine to fix - no worries.
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Papa Moose
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posted September 30, 2003 06:57 PM
So what else needs to be done?
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Happy Camper
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posted September 30, 2003 06:59 PM
OH! 94 was staring me in the face. 94 = 99-(√9)-gamma(√9). Again, assuming gamma is good, which it seems to be.
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wieczorek
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posted September 30, 2003 07:00 PM
pretty random numbers - 11, 13, 14, 23, 25, 29, 32, 34, 35, 37-39, 83-86. Only do these if you so desire - I don't want you to be up into the wee hours of the morning!
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Happy Camper
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posted September 30, 2003 07:01 PM
Awww, poor Ryuko. We really should put a warning on this thread, as it's already taken one life.
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Happy Camper
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posted September 30, 2003 07:03 PM
39=9(√9)!-(9+(√9)!) 11=9*(9/9)+gamma(√9) 14=9+(√9!-9/9) [ September 30, 2003, 07:08 PM: Message edited by: Happy Camper ]
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wieczorek
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posted September 30, 2003 07:11 PM
Thanks camper. Yes - perhaps I should alter the title...
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Happy Camper
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posted September 30, 2003 07:15 PM
And two (or more) more 83 = (√9)!!/9 + 9/√9 86 = (√9)!!/9 + (9-(√9)!)!
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Papa Moose
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Member # 1992
posted September 30, 2003 07:16 PM
9+(9+9)/9=11 9+√9+9/9=13 9+(√9)!-9/9=14 (9*9-(√9)!)/√9=25 (9*9+(√9)!)/√9=29 (99-√9)/√9=32 (99+√9)/√9=34 (√9)!*(√9)!-9/9=35 (√9)!*(√9)!+9/9=37 (√9)!*(√9)!-(√9)!/√9=38 (√9)!*(√9)!-9/√9=39 9*9+(√9)!/√9=83 9*9+9/√9=84 I'll come back to this. Still need 23,85,and 86, right?
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The Rabbit
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posted September 30, 2003 07:16 PM
11 = 9 + gamma(√9) 13 = 9+9-(√9)! 14 = gamma(√9)^√9+ (√9)! or if they must have 4 nines 14 = 9+(√9)!-9/9 11 = (√9)!+(√9)!-9/9 13 = (√9)!+(√9)!+9/9
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The Rabbit
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posted September 30, 2003 07:17 PM
23 = 9 + 9 + √9+gamma(√9)
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wieczorek
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posted September 30, 2003 07:17 PM
Thank you ALL
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The Rabbit
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posted September 30, 2003 07:19 PM
85 = 9*9*gamma(√9)•gamma(√9)
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Happy Camper
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posted September 30, 2003 07:20 PM
(and in a blatant attempt to raise my post count just a little bit) 85=9*9+(gamma(√9)*(gamma(√9) 86=9*9+(gamma(√9)+(√9) edit: hrm, seems I already had done one 86 a few posts up. I must be getting old. [ September 30, 2003, 07:23 PM: Message edited by: Happy Camper ]
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Papa Moose
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posted September 30, 2003 07:21 PM
Gamma does make things a lot easier, doesn't it. I wonder if it will be allowed....
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Happy Camper
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posted September 30, 2003 07:21 PM
Geez, I think this raised my post count by, er, like 50%. Is it over?
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The Rabbit
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posted September 30, 2003 07:22 PM
86 = (√9)!!/9+(√9)! or 86 = (√9)!!/9+(√9)*gamma(√9)
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wieczorek
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posted September 30, 2003 07:24 PM
THANKS. Camper - "Is it over?" I can almost imagine the despair on your face as you say that
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The Rabbit
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posted September 30, 2003 07:24 PM
If the teacher doesn't allow the gamma function I wonder how she will justify her position.
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Papa Moose
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posted September 30, 2003 07:24 PM
(√9)!!/(√9)!/(√9)!+√9=23
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Happy Camper
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posted September 30, 2003 07:26 PM
It's the part of me that will sit down at a partially completed puzzle and work till it's done, barely getting up to eat (why I can't have puzzles and that sort of thing in the house) . I love it. Edit: because it sounded dumb, saying essentially the same thing twice. [ September 30, 2003, 07:27 PM: Message edited by: Happy Camper ]
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wieczorek
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posted September 30, 2003 07:30 PM
Rabbit, I like the way you think This forum looks like we are upset at each other, with all the exclamation points. camper Thanks everyone
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Papa Moose
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posted September 30, 2003 07:31 PM
Just to be sure I'm on track here, 85 is currently the only number as yet unsolved without the gamma function?
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wieczorek
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posted September 30, 2003 07:41 PM
... ... pop, if anyone can do it, you can. And if not, well, we're all in trouble... I would then assume that not even my teacher could do it
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Papa Moose
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posted September 30, 2003 08:04 PM
(9!/(√9)!!+(√9)!)/(√9)!=85
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wieczorek
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posted September 30, 2003 08:07 PM
I express my GREATEST gratitude, pop!!
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Happy Camper
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posted September 30, 2003 08:08 PM
!!!! Try this one, I think it works. 85=[(9!/[(√9)!]!)+(√9)!]/(√9)! Edit: Whoa, that's amazing, I think I was typing out my response when you posted yours Pop. But I bow to the master. [ September 30, 2003, 08:10 PM: Message edited by: Happy Camper ]
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wieczorek
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posted September 30, 2003 08:10 PM
Thank you to EVERYONE who has contributed to this thread! Thank you. thanks again, camper. I didn't see the last one b/c I was posting while you posted it... [ September 30, 2003, 08:11 PM: Message edited by: wieczorek ]
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Papa Moose
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posted September 30, 2003 08:12 PM
It just took extra time to type in the parentheses. Not mathematically necessary, but could be helpful for clarification. *wink*
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wieczorek
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posted September 30, 2003 08:15 PM
thanks, pop. Alright, this area is now deemed safe land...and a land bomb every once in a while should be okay...
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Papa Moose
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posted September 30, 2003 08:16 PM
Now try it with 8s. [Edit -- actually 4s would probably be better so you can use the √ effectively.] [ September 30, 2003, 08:17 PM: Message edited by: Papa Moose ]
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Happy Camper
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posted September 30, 2003 08:17 PM
Now you've just gotta type them all out in numerical order so we can see them in a nice tidy list.
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wieczorek
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posted September 30, 2003 08:17 PM
alright, here we go...*ka-floink*...hmmm... camper, not a bad idea...*starts to peck around key board with one lonely finger* [ September 30, 2003, 08:18 PM: Message edited by: wieczorek ]
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wieczorek
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posted September 30, 2003 08:23 PM
Just to confirm my appreciation...thanks to everyone! This was fun
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The Rabbit
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Member # 671
posted September 30, 2003 08:28 PM
Here is my list, I'm missing 67. 1 = 9/9 or gamma(gamma(√9)) 2 = gamma(√9) 3 = √9 4 = gamma(√9)*gamma(√9) 5 = √9+gamma(√9) 6 = (√9)! 7 = gamma(√9)*gamma(√9) + √9 8 = gamma(√9)^√9 9 = 9 10 = 9 + 9/9 11 = 9 + gamma(√9) 12 = sqrt(9)!*gamma(√9) 13 = 9+9-(√9)! 14 = gamma(√9)^√9+ (√9)! 15 = (√9+gamma(√9))*√9 16 = gamma(√9)^(gamma(√9)*gamma(√9)) 17 = 9 + gamma(√9) + (√9)! 18 = 9+9 19 = 9+9+9/9 20 = 9 + 9 + gamma( (√9) 21 = 9 + 9 + √9 22 = (9+gamma(√9))*gamma(sqrt(9)) 23 = 9 + 9 + √9+gamma(√9) 24 = (√9)!gamma(√9)gamma(√9) 25 = (9+gamma(√9))*gamma(√9)+√9 26 = (9+9-(√9)!)*gamma(√9) 27 = 9*√9 28 = 9*√9 + 9/9 29 = 9*√9+gamma(√9) 30 = 9*√9+√9 31 = 9*√9+gamma(√9)gamma(√9) 32 = (√9)!(√9)!-gamma(√9)gamma(√9) 33 = 9*√9+(√9)! 34 = (√9)!(√9)!-gamma(√9) 35 = (√9)!(√9)!-9/9 36 = (√9)!(√9)! 37 = (√9)!(√9)!+9/9 38 = (√9)!(√9)!+gamma(√9) 39 = (√9)!(√9)!+√9 40 = (√9)!!/(9+9) 41 = ((√9)!!/9+gamma(√9))/gamma(√9) 42 = (√9)!!/(9+9)+gamma(√9) 43 = (√9)!!/(9+9) + √9 44 = (9 + gamma(√9))*gamma(√9)*gamma(√9) 45 = 9(√9+gamma(√9)) 46 = (√9)!!/(9+9) + (√9)! 47 = (√9)!(√9)!+9 + gamma(√9) 48 = 9(√9)!-(√9)! 49 = 9(√9)!-√9-gamma(√9) 50 = 9(√9)!-gamma(√9)gamma(√9) 51 = 9(√9)!-√9 52 = 9(√9)! – gamma(√9) 53 = 9(√9)! – 9/9 54 = 9(√9)! 55 = 9(√9)! + 9/9 56 = 9(√9)! + gamma(√9) 57 = 9(√9)! + √9 58 = 9(√9)! + gamma(√9)gamma(√9) 59 = 9(√9)! + √9 + gamma(√9) 60 = gamma((√9)!)/gamma(√9) 61 = gamma((√9)!)/gamma(√9) + 9/9 62 = gamma((√9)!)/gamma(√9)+gamma(√9) 63 = gamma((√9)!)/gamma(√9) + √9 64 = gamma((√9)!)/gamma(√9) + gamma(√9)gamma(√9) 65 = gamma((√9)!)/gamma(√9) + gamma(√9) + √9 66 = (9 + gamma(√9))*(√9)! 67 = gamma((√9)!)/gamma(√9)+(√9)! + gamma(gamma(√9)) 68 = gamma((√9)!)/gamma(√9)+ gamma(√9)^(√9) 69 = 9*gamma(√9)^(√9)-√9 70 = 9*9 – (9 + gamma(√9)) 71 = gamma((√9)!)/gamma(√9)+gamma(√9)+9 72 = 9*gamma(√9)^(√9) 73 = 9*9 - gamma(√9)^(√9) 74 = 9*gamma(√9)^(√9)+gamma(√9) 75 = 9*gamma(√9)^(√9)+√9 76 = 9*9 - √9-gamma(√9) 77 = 9*9 - gamma(√9)gamma(√9) 78 = 9*9 -√9 79 = 9*9 - gamma(√9) 80 = 9*9 – 9/9 81 = 9*9 82 = 9*9 + 9/9 83 = 9*9 + gamma(√9) 84 = 9*9+√9 85 = 9*9 + gamma(√9)gamma(√9) 86 = 9*9 + √9+gamma(√9) 87 = 9*9 + (√9)! 88 = √9)!!/9+gamma(√9)^(√9) 89 = √9)!!/9+9 90 = 9*9 + 9 91 = (√9)!!/9+9+gamma(√9) 92 = (√9)!!/9+9+√9 93 = 9*9+9+sqrt(9) 94 = 99-(√9)-gamma(√9) 95 = √9)!!/9+9+(√9)! 96 = 9*9+9+(√9)! 97 = 99 – gamma(√9) 98 = 99 – 9/9 99 = 9*(9+gamma(√9)) 100 = gamma((√9)!)-9 + 9 + gamma( (√9) edited to add 67 and another possibility for 1 [ September 30, 2003, 08:46 PM: Message edited by: The Rabbit ]
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wieczorek
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posted September 30, 2003 08:30 PM
Rabbit...Rabbit...Rab...
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