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» Hatrack River Forum » Active Forums » Books, Films, Food and Culture » Has anybody ever heard of this? ENTER AT YOUR OWN PERSONAL HEALTH RISK (Page 3)

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Author Topic: Has anybody ever heard of this? ENTER AT YOUR OWN PERSONAL HEALTH RISK
The Rabbit
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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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pop, if that's what you do from memory, that's excellent. [Smile]
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wieczorek
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sorry rabbit [Embarrassed] thanks
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wieczorek
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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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(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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thanks rabbit [Big Grin]
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The Rabbit
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9^(gamma(sqrt(9))+9+sqrt(9) = 93
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wieczorek
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[Smile]
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Happy Camper
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ah... 58= 9*(√9)!+(gamma(√9)*(gamma(√9)
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Papa Moose
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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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(head explodes)
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wieczorek
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thanks pop. [Smile] The ones that have minor corrections are fine to fix - no worries.
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Papa Moose
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So what else needs to be done?
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Happy Camper
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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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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! [Smile]
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Happy Camper
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Awww, poor Ryuko. We really should put a warning on this thread, as it's already taken one life. [Wink]
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Happy Camper
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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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Thanks camper. Yes - perhaps I should alter the title...
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Happy Camper
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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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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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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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23 = 9 + 9 + √9+gamma(√9)
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wieczorek
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Thank you ALL [Smile]
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The Rabbit
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85 = 9*9*gamma(√9)•gamma(√9)
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Happy Camper
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(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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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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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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86 = (√9)!!/9+(√9)!

or

86 = (√9)!!/9+(√9)*gamma(√9)

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wieczorek
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THANKS. [Smile]

Camper - "Is it over?" I can almost imagine the despair on your face as you say that [Big Grin]

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The Rabbit
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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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(√9)!!/(√9)!/(√9)!+√9=23
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Happy Camper
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[Razz] 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) [Roll Eyes] . 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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Rabbit, I like the way you think [Smile]
This forum looks like we are upset at each other, with all the exclamation points. [Big Grin]
camper [Smile]
Thanks everyone

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Papa Moose
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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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true. [Smile]
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Papa Moose
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<Hunkers down.>
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wieczorek
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... [Big Grin] ... 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 [Big Grin]
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Papa Moose
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(9!/(√9)!!+(√9)!)/(√9)!=85
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wieczorek
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!!!!!
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wieczorek
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[Smile] I express my GREATEST gratitude, pop!!
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Happy Camper
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!!!!
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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Thank you to EVERYONE who has contributed to this thread! Thank you. [Smile]

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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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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thanks, pop. [Wink]

Alright, this area is now deemed safe land...and a land bomb every once in a while should be okay... [Smile]

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Papa Moose
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Now try it with 8s. [Smile]

[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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Now you've just gotta type them all out in numerical order so we can see them in a nice tidy list. [Big Grin]
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wieczorek
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alright, here we go...*ka-floink*...hmmm... [Smile]

camper, not a bad idea...*starts to peck around key board with one lonely finger* [Wink]

[ September 30, 2003, 08:18 PM: Message edited by: wieczorek ]

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wieczorek
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Just to confirm my appreciation...thanks to everyone! This was fun [Smile]
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The Rabbit
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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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Rabbit...Rabbit...Rab... [Big Grin]
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