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catlind
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Math Question (not CH)
« on: Jun 19th, 2003, 9:13pm » |
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Clark (aka Anthem) needs help with a math problem:
Let A be a subset of the real numbers. The "characteristic function" of A is
defined to be the function f(x) such that f(a) = 1 if a is an element of A
and f(a) = 0 otherwise. If f(x) is the characteristic function of A and g(x)
is the characteristic function of B, what is the characteristic function of
the union of A and B?
Cat
(if ya didn't have a CH before, I bet you do now LOL)
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Bob P
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Re: Math Question (not CH)
« Reply #1 on: Jun 19th, 2003, 9:20pm » |
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Intercourse?
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Mrs. Barlow, I never, and I repeat never, ever pissed in your steam iron.
"SHUT UP HUB!"
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cootie
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Re: Math Question (not CH)
« Reply #2 on: Jun 19th, 2003, 11:00pm » |
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beer suds ?
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The mad viking
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Re: Math Question (not CH)
« Reply #3 on: Jun 20th, 2003, 2:08am » |
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Thats simple Cat. It all adds up to HEADACHE  ;D ;D ;D
Svenn
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Always Look on The Bright Side of Life
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brain_cramps
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Re: Math Question (not CH)
« Reply #4 on: Jun 20th, 2003, 4:25am » |
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TRICK QUESTION (I think)
Just a wild guess... but the union of A and B is the union of all REAL numbers and all non-REAL numbers, or in fact, ALL numbers.
Is it possible to find two linear functions, f(x) = mx + b and g(x) = nx + c, such that the function h(x) = f(x).g(x) is tangent to each.
A traditional approach would begin with algebraic manipulation. This is useful because it keeps the inexperienced occupied, but what can one know for sure?
Clearly, h(x) = (mx + b)(nx + c) is a polynomial of degree 2 and h(x) has two roots. The respective roots are when f(x) = 0 and g(x) = 0. This means the graph of h(x) crosses the x-axis at the same two points as f(x) and g(x).
Thus, if there are points of tangency then they must occur at these common points on the x-axis.
In conclusion, it is a union of all REAL numbers and all non-REAL numbers, or in fact, ALL numbers.
Its been a long time since I've had to use anything other than 'logical math'... ie. AND, OR, and XOR.
BUT after consuming more than 18 REAL beer (ie. non-American beer), I think that this proves my theory.
If this is the case, HOLY SHIT! 
Otherwise, where the hell is Ueli?
grant ??? 
P.S. cat, you're right... If yer gonna be stupid, ya gotta be tough!!! ;D ;D ;D ;D ;D
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| « Last Edit: Jun 20th, 2003, 4:30am by brain_cramps » |
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suzy617
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Re: Math Question (not CH)
« Reply #5 on: Jun 20th, 2003, 4:30am » |
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I think I'll cheat and look at the guy next to me's paper.
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brain_cramps
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Re: Math Question (not CH)
« Reply #6 on: Jun 20th, 2003, 4:33am » |
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Suzy
If you want to pass, you better not be sitting next to me. ;D ;D ;D ;D
grant 
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catlind
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Re: Math Question (not CH)
« Reply #7 on: Jun 20th, 2003, 6:41am » |
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ROFL that was quite an answer grant!!!
I'll be sure he logs in to check those out LOL
Cat (who has gotten pretty tough over the years  )
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Peppermint
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Re: Math Question (not CH)
« Reply #8 on: Jun 20th, 2003, 7:38am » |
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Darnit Cat. You sneaky girl.... thought You'd have the answer.....
You did this in chat last night and I got a headache...ya done did it again....
ok... where's BillyJ....I think I need some aspirin....
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Brian_Y
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Re: Math Question (not CH)
« Reply #9 on: Jun 20th, 2003, 7:41am » |
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42
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Peppermint
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Re: Math Question (not CH)
« Reply #10 on: Jun 20th, 2003, 7:46am » |
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on Jun 20th, 2003, 7:41am, Brian_Y wrote:
No repeat answers ya Yank.
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You like apples? How ya like them apples?
When playing in the gym, beware of steel beams. - M. Amyx
Carve your name on hearts, and not on marble. - Charles H. Spurgeon
FYI - I am NOT a clusterhead.
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Brian_Y
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Re: Math Question (not CH)
« Reply #11 on: Jun 20th, 2003, 7:51am » |
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It's the answer to everything, so it's not really a repeat. Agreed?
And calling me a "Yank" will git yer arm "yanked" out of the socket.
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BruceD
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Re: Math Question (not CH)
« Reply #12 on: Jun 20th, 2003, 7:56am » |
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on Jun 20th, 2003, 4:25am, brain_cramps wrote:TRICK QUESTION (I think)
A traditional approach would begin with algebraic manipulation. This is useful because it keeps the inexperienced occupied, but what can one know for sure?
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Good one grant. Reminds me of the Blues Traveler song. Anyway, I think what you're looking for is:
C = A U B
We'll let h(x) be the characteristic function of C (the union of A and B)
Therefore, the mathematical union of the characteristic functions will be:
h(x) = f(x) + g(x) - [f(x)*g(x)]
Simple, huh?
Later
BruceD
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Peppermint
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Re: Math Question (not CH)
« Reply #13 on: Jun 20th, 2003, 9:39am » |
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on Jun 20th, 2003, 7:51am, Brian_Y wrote:It's the answer to everything, so it's not really a repeat. Agreed?
And calling me a "Yank" will git yer arm "yanked" out of the socket.
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Agreed.
You planning on hurting me?
Oo..Oo I'm skeered... wahhhhhhhhhhhhh....
YANK.
Neener,neener,neener.....
;D..
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You like apples? How ya like them apples?
When playing in the gym, beware of steel beams. - M. Amyx
Carve your name on hearts, and not on marble. - Charles H. Spurgeon
FYI - I am NOT a clusterhead.
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cathy
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Re: Math Question (not CH)
« Reply #14 on: Jun 20th, 2003, 11:54am » |
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on Jun 20th, 2003, 7:51am, Brian_Y wrote:And calling me a "Yank" will git yer arm "yanked" out of the socket.
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Hey LBB are you gonna do that yourself or are you going to get someone to do it for you... ;D
I think the answer is 143.....
Cathy
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Live4Fun
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Re: Math Question (not CH)
« Reply #15 on: Jun 20th, 2003, 11:59am » |
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I think the answer is Y. Y are you doing this to us?!?!? ;D ;D
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Roxy
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Re: Math Question (not CH)
« Reply #16 on: Jun 20th, 2003, 11:59am » |
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omg....I woke up and read this thread first for some reason. Cat, it was actually painful.
My answer parallels Svenns.......the answer is a headache (along with crossed eyes... ;D).
Grant, your answer even hurt.....
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CathiP
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Re: Math Question (not CH)
« Reply #17 on: Jun 20th, 2003, 12:03pm » |
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Cathy, Miss Fluffyknickers....
That is devastatingly handsome, erudite, LBB to you!!
And the answer is.......CHOCOLATE!!
I know it's the answer.......aside from one other possibility mentioned above, chocloate is the answer to everything!! Right?
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BobG
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Re: Math Question (not CH)
« Reply #18 on: Jun 20th, 2003, 12:21pm » |
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Duct Tape is the answer to everything
except
Don't ever, and I mean ever
use it as a condom
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Linda_Howell
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Re: Math Question (not CH)
« Reply #19 on: Jun 20th, 2003, 12:22pm » |
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I agree with with Roxy,
While reading Cats question and Grants answer, not only did my eyes cross, but I deleloped an uncontrollable twitch, followed closely by an anxiety attack.
Good God, Do people actually want to know this stuff? LMAO LindaH
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Opus
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Re: Math Question (not CH)
« Reply #20 on: Jun 20th, 2003, 3:40pm » |
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Cat,
I'll break out my calculous books and let you know.
Brian,
It's obvous that the question in you brain waves,
by the way what is the population of the universe?,
and have you ever heard of Stavro Mueller Beta?
Opus/Paul
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Marc
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Re: Math Question (not CH)
« Reply #21 on: Jun 20th, 2003, 3:44pm » |
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Bob G,
NOW you tell me!
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catlind
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Re: Math Question (not CH)
« Reply #22 on: Jun 20th, 2003, 4:35pm » |
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on Jun 20th, 2003, 3:40pm, Opus wrote: have you ever heard of Stavro Mueller Beta?
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That sounds familiar, think I may have heard that name mentioned when I dined in the Restaurant at the End of the Universe
Cat
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A true friend is someone who reaches for your hand and touches your heart
If yer gonna be stupid, ya gotta be tough
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BruceD
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Re: Math Question (not CH)
« Reply #23 on: Jun 20th, 2003, 4:36pm » |
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Yeah, but by the time the mice finished up the computer & got the answer, they had forgotten the question. (Got my handkerchief right here )
BruceD
PS: BTW my first answer is correct. ;D
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Childhood is short, maturity is forever. (The Indispensable Calvin and Hobbes)
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catlind
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Re: Math Question (not CH)
« Reply #24 on: Jun 20th, 2003, 4:53pm » |
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What the devil are you doing with a handkerchief?? That won't put a 'dent' in any problems you run into
All good hikers know you need a towel
Cat
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| « Last Edit: Jun 20th, 2003, 4:54pm by catlind » |
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A true friend is someone who reaches for your hand and touches your heart
If yer gonna be stupid, ya gotta be tough
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