The worlds first riddle!

I kept staring at this wondering how 6=(22+12+12)
6=46

Then I finally realized you meant 6= 2^2 + 1^2 + 1^2 (I think that is how you write 2 squared & 1 squared) which is 6=4+1+1
So, basically it comes down to 8(n + 1) I think.

1 800 BENDOVER -

TTH:

So, basically it comes down to 8(n + 1) I think.


So do I...


Consider that 8a^2 = (4a^2 + 4a) + (4a^2 − 4a).
= (2a + 1)^2 + (2a − 1)^2 − 2.

So 8n = (2a + 1)^2 + (2a − 1)^2 + (2b + 1)^2 + (2b − 1)^2 + (2c + 1)^2 + (2c − 1)^2 + (2d + 1)^2 + (2d − 1)^2 − 8, and thus 8(n + 1) is the sum of eight odd squares; just as TTH said!

Therefore, any positive multiple of 8 can be written as the sum of eight odd squares.


Miss mi can you please quit calling me; I want to dial out…Thank you!



The absolute value of a real number is defined as its numerical value without regard for sign. So, for example, abs(2) = abs(−2) = 2.

The maximum of two real numbers is defined as the numerically bigger of the two. For example, max(2, −3) = max(2, 2) = 2.

What is:
abs in terms of max
max in terms of abs

Miss mi can you please quit calling me

You should be so lucky

Good come back


Try
Not only do you talk weird, you do math weird too

MAX ABS

[size=7]abs(x) = max(x, -x)
max(x,y) = (x+y)/2 + abs(x-y)/2[/size]

Oh hi mark
This is for ALL of you:
http://www.123greetings.com/view/7JN11212062609223

Howdy. Cool card!

How Pretty!

I am glad you liked it

Mark:

MAX ABS

abs(x) = max(x, -x)
max(x,y) = (x+y)/2 + abs(x-y)/2


To express max(x, y) in terms of abs function(s), consider x and y positioned on the real number line.

The midpoint of the line is ½(x + y).

To obtain max(x, y), we then need to add half the length of the line segment connecting x and y; that is, we must add ½(abs(x - y)).


Good to see you back; strange you and TTH should disappear at the same time!


TTH writes, "Try. Not only do you talk weird, you do math weird too"

Sorry about that, the system failed to recognize the notation.

I keep getting a violation warning when I try that link, however if Mark says it's ok and Miss mi thinks it's mighty purdy, then it must be good and I thank you for the thought.




"You should be so lucky"

Fairy nuff , I know I can never be that lucky , but then again, I have unlisted numbers; plus I have a floating goldfish , you try to train a fish to swim upside down and see how difficult it is . Gotta go ….. it's the phone! :wink:




MRY IENAGRGS


BEND
DRAW
DRAW
DRAW


NMD


ITN

Fairy nuff , I know I can never be that lucky , but then again, I have unlisted numbers; plus I have a floating goldfish , you try to train a fish to swim upside down and see how difficult it is . Gotta go ….. it's the phone!

You were the one that asked me to quit calling... Flush the fish Try.

"You were the one that asked me to quit calling"

Ok, just keep it down to three times a night and no heavy breathing!


"Flush the fish Try."

Don't be so quick, I'm sure its just sleeping it off. I don't like to drink alone so I always give little Timmy a shot. I'll drop in a bicarb soda tab; yes, that should do the trick.

bend over backwards
I dunna know, one

TTH wrote;

NMD
"I dunna know (that) one"

Just change it! :wink:

Oh wow...I should have gotten that one...I kept saying bend over drawers or something!

okay, a doctor

This is kinda Christmassy & there is a fairy in there for you.
Well, I figured since you like fairys and all....

TTH:

BEND
DRAW
DRAW
DRAW = bend over backwards

My thanks to Ben Dover for that one!

"Well, I figured since you like fairy's and all...."

That drawing is real cute…thank you. I'm gonna print it out and frame it!


Miss mi writes, "Oh wow...I kept saying bend over drawers or something!"

Can I get up now, my back is killing me!


Looking back; the summer of 2007 is no exception to the destruction that is wreaked by wildfires. Large portions of the West are being destroyed by lightning-sparked fires. Bryant Gumbel reported on the Today show that a fire in Mendocino, CA, covered 70,000 acres on its ninth day of burning, and the blaze doubled in size each of the previous days.

How many acres did the fire cover on the first day

Let x be the # of acres on the first day.
2x is second day and so forth.
2^8*(x)=70,000

x = approximately 273.44 acres.

Seems too easy though