Welcome Guest [Log In] [Register]
Welcome to Mp2d. We hope you enjoy your visit.


You're currently viewing our forum as a guest. This means you are limited to certain areas of the board and there are some features you can't use. If you join our community, you'll be able to access member-only sections, and use many member-only features such as customizing your profile, sending personal messages, and voting in polls. Registration is simple, fast, and completely free.


Join our community!


If you're already a member please log in to your account to access all of our features:

Username:   Password:
Add Reply
Math
Topic Started: Aug 30 2009, 06:25 PM (1,056 Views)
chagi
Member Avatar
Metroid
[ *  *  *  *  * ]
Zurginator,Sep 11 2009
01:41 PM
chagi,Sep 11 2009
07:09 AM
k

create an expression for the n:th number in the following sequence:

1 1 2 4 8 16 32 64 ...

All of the numbers added together make the next number.

Where's the expression?

Quote:
 
Uh... it's 2^x. (x >= 0, x % 1 = 0)

Try something more interesting, like 0, 0.693, 1.099, 1.386, 1.609...


I don't know what x % 1 = 0 means, but but there's no zeroeth number. The first is a one the second is one, the third is two and so on.
doobie doo
Offline
 
DeProgrammer
Member Avatar
Elite Pirate
[ *  *  *  *  *  * ]
% is the modulo operator in some programming languages. It pretty much just returns the remainder of the first number divided by the second, ie. 5 mod 1 = 0, 5.1 mod 1 = 0.1, 3 mod 5 = 2.
Posted Image
Signature by Rewrite.
My talent comes from deep within...like vomit!
Offline
 
chagi
Member Avatar
Metroid
[ *  *  *  *  * ]
Oh, ok. Now, I can't solve your sequence, because I'm not too good with fractions.

But... I can make up problems for you guys to solve at least....

What's the length of a side on a square with area of 200i, where i is the square root of -1?
doobie doo
Offline
 
DeProgrammer
Member Avatar
Elite Pirate
[ *  *  *  *  *  * ]
Area can't be an imaginary number. Area has to be a non-negative real number.
Posted Image
Signature by Rewrite.
My talent comes from deep within...like vomit!
Offline
 
Timmeh
Member Avatar
The Electryc Penys
[ *  *  *  *  *  *  *  *  * ]
what if you draw a square on the complex plane? ;D

My first instinct is just sqrt(200i) but I'll think about it in case it's a trick question.
Posted Image
Offline
 
chagi
Member Avatar
Metroid
[ *  *  *  *  * ]
DeProgrammer,Sep 11 2009
09:17 PM
Area can't be an imaginary number. Area has to be a non-negative real number.

It's a hypothetical area. :roll:
doobie doo
Offline
 
Timmeh
Member Avatar
The Electryc Penys
[ *  *  *  *  *  *  *  *  * ]
You can't just set hypothetical terms in math. That's like setting your own axioms >_>
How could you prove the answer if you couldn't set the problem up? Go ahead, show me what the answer is.

EDIT: After doing some research on wikipedia, the question seems to be meaningless since distance can't be defined in terms of i at all, and you can't define sides of a square without defining distance. Even distances on the complex plane are real numbers.
Posted Image
Offline
 
chagi
Member Avatar
Metroid
[ *  *  *  *  * ]
Math is hypothetical. But fine, I'll give you a solvable problem. =)

What's the side length of a square with area of 100?

<_<
doobie doo
Offline
 
Timmeh
Member Avatar
The Electryc Penys
[ *  *  *  *  *  *  *  *  * ]
Math is built on axioms, and you can't just make shit up outside of those. The axioms are hypothetical, sure, but you can't add onto those if you're working in real math.

and 10 <_<
Posted Image
Offline
 
chagi
Member Avatar
Metroid
[ *  *  *  *  * ]
Then what prevents using i when calculating length? That it isn't a *real* number? That it can't exist in real life?
doobie doo
Offline
 
Timmeh
Member Avatar
The Electryc Penys
[ *  *  *  *  *  *  *  *  * ]
That it's impossible to set up a problem that gives you a length in terms of i! You can't demonstrate to me two hypothetical objects with an imaginary distance between them. You could assume that imaginary areas work the same way as real lengths, but there's no way to get that from the axioms.
Posted Image
Offline
 
chagi
Member Avatar
Metroid
[ *  *  *  *  * ]
Okay, fine. I'll write the exakt same question, but without using WORDS.

x^2 = 200i
find x

jäkla bajsare
doobie doo
Offline
 
Timmeh
Member Avatar
The Electryc Penys
[ *  *  *  *  *  *  *  *  * ]
Not the same question, but here:

x = +/- 10 * sqrt(2i)
Posted Image
Offline
 
Liksmaskaren
Member Avatar
The Swede
[ *  *  *  *  *  *  * ]
chagi,Sep 13 2009
08:43 PM
jäkla bajsare

True.
Pixel and 3D artist
Offline
 
Pomegranate
Member Avatar
Prime Essence
[ *  *  *  *  *  *  *  *  * ]
Timmeh,Sep 13 2009
11:29 AM
That it's impossible to set up a problem that gives you a length in terms of i! You can't demonstrate to me two hypothetical objects with an imaginary distance between them. You could assume that imaginary areas work the same way as real lengths, but there's no way to get that from the axioms.

uh hello

10i^4 ft

is

10 ft

you CAN state something in terms of i

i = root -1
i^2 = -1
i^3 = negative i
i^4 = 1
Offline
 
Go to Next Page
« Previous Topic · General Discussion · Next Topic »
Add Reply