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Joined: Sep 2000
Posts: 2,891
Carpal Tunnel
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Carpal Tunnel
Joined: Sep 2000
Posts: 2,891 |
Allo PEg, nice of you to drop in.
Your definition of intelligent is what I'd consider as clever. How would you define smart and clever?
Funny, eh, the English language. You can have ten people say the same thing and mean something slightly different in each case.
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Joined: Jul 2004
Posts: 2
stranger
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stranger
Joined: Jul 2004
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I'd say that smart was: quick to comprehend, with an implication of sassiness or newness to it. I'd define clever as witty, with overtones of foxiness and an implication that rule bending might be allowable. All those words have to do with how much good stuff there is in the Central Processing Unit, but some have more to do with RAM than mother board, and others more to do with software . . .  It's nice to be able to pop in, thanks, bel! You're right about English. Some of us treat it as Humpty Dumpty does in Alice. Lack of shared references can keep two people who share the same language from communicating well, can't it?
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Joined: Mar 2001
Posts: 2,379
Pooh-Bah
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Pooh-Bah
Joined: Mar 2001
Posts: 2,379 |
Hey, Peg, good to meet you (again)!
Now, hwa?
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Joined: Feb 2006
Posts: 43
newbie
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OP
newbie
Joined: Feb 2006
Posts: 43 |
Hmm.. I wonder if the whole culture debate is the reason that the SAT was recently changed.
[insert signature here]
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Joined: Dec 2000
Posts: 13,803
Carpal Tunnel
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Carpal Tunnel
Joined: Dec 2000
Posts: 13,803 |
What is the next number in this series:
1, 2, 9, 262144, ____
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Joined: Mar 2000
Posts: 11,613
Carpal Tunnel
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Carpal Tunnel
Joined: Mar 2000
Posts: 11,613 |
What is the next number in this series: Is there one that makes some sort of logical sense?
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Joined: Jul 2000
Posts: 3,467
Carpal Tunnel
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Carpal Tunnel
Joined: Jul 2000
Posts: 3,467 |
Quote:
What is the next number in this series:
1, 2, 9, 262144, ____
I don't know how the 1 was derived, perhaps by defining it, but the second number is 2 to the power of the number preceding it; the third number is 3 to the power of the number preceding it; the fourth number is 4 to the power of the number preceding it; so the fifth number would be 5 to the power of the number preceding it. Deriving the actual number is trivial, so I will leave that up to the reader. I can give you a big hint, though. It ends in 25.
TEd
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Joined: May 2002
Posts: 1,529
veteran
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veteran
Joined: May 2002
Posts: 1,529 |
Electronic hard wired color displays are designated as "pallettes". Pallette 1 lets us see 114 color shades. Pallette 2 lets us see 543 color shades. Pallette 9 lets us see 262,144 different shades of colors, the most available. So the answer to the so called Faldage Sequence is " 0" ( as in "none") because there are no further shady mechanisms in the electronic marketplace today. 1,(114) 2,(543) 9, (262,144) 0 
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Joined: Dec 2000
Posts: 13,803
Carpal Tunnel
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Carpal Tunnel
Joined: Dec 2000
Posts: 13,803 |
The closest I've come up with is 6.206e183230
The recursion is, as TEd sussed, N^=N to the (N-1)^. I haven't decided how to define the base but it doesn't quite matter. It could be 0^=0, 0^=1 or 1^=1. I kinda like the first version just because it seems the elegantest.
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Joined: Jan 2001
Posts: 1,819
Pooh-Bah
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Pooh-Bah
Joined: Jan 2001
Posts: 1,819 |
You have artistic license when it comes to defining the first numbers in a sequence. Sometimes by playing around with them you get cool results. One of the interesting things about the Fibonacci sequence is that the ratios of successive numbers such 8/5, 13/8, 21/13, etc, approach the famous irrational number known as Phi , associated with the Golden Ratio. But what's even more interesting, is that no matter how you define the first two numbers in the Fibonacci sequence -- suppose your sequence begins 7, 8, 15, 23, 38... -- the ratios of consecutive numbers will still converge on this value 1.61803399. You can even begin with 0 and 7, ensuring a Fibonacci-esque sequence whose members are all multiples of seven, and the ratios of successive numbers in the list will converge to Phi.
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