Don Penguinoini
Modi.
Children are naturally logical, but they aint born with no phd.
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The Longest Thread Ever!
- Thread starter Don Penguinoini
- Start date
My misheard lyrics list:
The first time I heard It's a Heartache I though she was singing It's a Hard Egg. (Bonnie Tyler)
At first I thought Head Games was Hat Games (Foreigner)
When I was very little I thought the line in Drift Away (Dobie Gray) was give me the Beach Boys rather than give me the beat boys.
I am not even going to tell what I thought Peter Frampton was saying in Do You Feel Like We Do when he says "I want to thank you".
The first time I heard It's a Heartache I though she was singing It's a Hard Egg. (Bonnie Tyler)
At first I thought Head Games was Hat Games (Foreigner)
When I was very little I thought the line in Drift Away (Dobie Gray) was give me the Beach Boys rather than give me the beat boys.
I am not even going to tell what I thought Peter Frampton was saying in Do You Feel Like We Do when he says "I want to thank you".
yossarian22
Resident Schizophrenic
I stand corrected. There isn't another solution. No real ones anyways.
Persephone
<here>
the line
1 = sqr(-1) * sqr(-1)
cannot be true because
(1 / i )!= i
(-1/ i ) = i
that's where this logic falls apart.
1 = sqr( 1^2) = sqr( (-1)^2)
...
but the sqr((-1)^2)=1 only because sqr( any real #)>=0 (non-scalar)
i must be both positive and negative (or scalar) because the product of any two numbers of the same sign is positive, but the product of i*i is negative. Therefore, ignoring the fact that both i's are equal - because math lets you do that sometimes- one of the i's must be negative. That's a major no no.
hmm...
back to
1= sqr( -1) * sqr(-1)
1 = |1|= sqr(-1)*sqr(-1) = |sqr(-1)*sqr(-1)| = |-1| = 1
lamplighter
Almighty Tallest
I almost WANT to believe they are just scars, that no one would look that hideous for the sake of muscle mass.......
yossarian22
Resident Schizophrenic
A variable can be any real value you want it to be so long as it satisfies the requirements given. Making every variable equal to zero is a cheap, easy way to break mathematical puzzles like that. Zero has very odd properties which is why we rarely use it to check if our answer is correct.
Nothing prevented them from being all equal, it was required actually. The only real solution is zero. Now I am sure there is some value in the form 'a+bi' (where i is the imaginary value) which solves it, but I don't like thinking too hard.
To Christine- adding the following bit makes that puzzle impossible
lim A->0
Or to put it far more bluntly A cannot be zero.
I think I did the limit notation right. Its been awhile since I used it.
Oh come on, that's cheating. That is why the whole thing cannot be correct. 2 cannot be the same as -2 by definition. But using the imaginary number, we can prove that a negative is the same as a positive. But there is something wrong with the proof, and it is not the result.
And the imaginary number i is not the problem either in case anybody was wondering
Frubals for trying though.
yossarian22
Resident Schizophrenic
:bow:the line
1 = sqr(-1) * sqr(-1)
cannot be true because
(1 / i )!= i
(-1/ i ) = i
that's where this logic falls apart.
1 = sqr( 1^2) = sqr( (-1)^2)
...
but the sqr((-1)^2)=1 only because sqr( any real #)>=0 (non-scalar)
i must be both positive and negative (or scalar) because the product of any two numbers of the same sign is positive, but the product of i*i is negative. Therefore, ignoring the fact that both i's are equal - because math lets you do that sometimes- one of the i's must be negative. That's a major no no.
Very very good.
I will start at the end, because that is easier to dissect.
i is a totally imaginary construct which does not exist on the real number line. There is no √-1. So why did we make one? It was first used in a proof of some theorem or the other in the 1600s. When plotting the complex (which is the same as imaginary) number line, we draw a line perpendicular to the real number line at 0. The result of this is that i cannot be compared to zero. Another problem is there is little qualitative difference between i and -i.
So in that, you are wrong. Your first bit is right though.
[You win for logical method of breaking it. Now there is another way which simply involves knowledge of i's properties]
[1= √(-1*-1)]
1=√(-1)*√(-1)
The error is in those lines. Don't overthink it.
yossarian22
Resident Schizophrenic
Your 13 right? So your in what, Pre-Algebra now? Or at least close to it. In 4 years you'll know this stuff.
mrscardero
Kal-El's Mama
I loved the ending. "You're so vein, you probably think this caption's about you." Great! Now I'll be singing that song all day.
As I was eating my oatmeal, I started to choke. But I am okay. Thanks Bill for the morning breakfast laugh.
Don Penguinoini
Modi.
ewwwww.
Don Penguinoini
Modi.
mrscardero
Kal-El's Mama
This thread is long. And getting longer and longer and longer.
whereismynotecard
Treasure Hunter
and longer.
And longer.
whereismynotecard
Treasure Hunter
and even longer yet.
yossarian22
Resident Schizophrenic
I might as well keep my theme going. Hope you don't mind penguino, but I shall stick a few math puzzles here
This is a proof that 2=1
Variables A and B are two non-zero quantities such that
A=B
Multiply both sides by A and we get
A²=AB
A²-B²=AB-B²
Through factoring we get
(A+B)*(A-B)=B(A-B)
Dividing out the (A-B) term gives us
A+B=B
B+B=B
2B=B
Divide out B
2=1
This one is not quite as hard as the last one.
This is a proof that 2=1
Variables A and B are two non-zero quantities such that
A=B
Multiply both sides by A and we get
A²=AB
A²-B²=AB-B²
Through factoring we get
(A+B)*(A-B)=B(A-B)
Dividing out the (A-B) term gives us
A+B=B
B+B=B
2B=B
Divide out B
2=1
This one is not quite as hard as the last one.
I was watching an old Crocodile Files show and Steve (RIP ) in the frozen North looking at the seals, polar bears, and other creatures that live there. When he got to the penguins I naturally thought of Penguino.
) in the frozen North looking at the seals, polar bears, and other creatures that live there. When he got to the penguins I naturally thought of Penguino.
I love watching nature and animal shows. I also love watching shows about the planets. They are showing Cosmos (with Carl Sagan, RIP) on Tuesday nights on the Science channel. It is the best thing on, even better than M*A*S*H and Star Trek.
I love to laugh. Some of my favorite comedians are Robin Williams, Eddie Murphy, Richard Pryor (RIP), and George Carlin. I also love Bill Cosby. They all make me laugh.