Distance formula

[Angel_Light]

Is it possible to do the distance formula Graal? Does graal have square root symbol? It has powers "^2".

[Chandler]

temp.objectDistance = ((this.x ^ 2) + (this.y ^ 2)) ^ 0.5;

[Angel_Light]

Thank you very much! =D

[DustyPorViva]

Square root is ^.5

Anyways, to further on what Chandler said, this.dx and this.dy should be this.dx and this.dy. Though it really doesn't matter as the variables are what you make of them, but for understanding purposes, you're getting the distance from delta's.

[Gambet]

The root of a number is the same thing as saying that same number to the power of the exponent it's being multipled to inside the root over the degree of the root.


How that works?


Well, when you rationalize a root, if the root has no outside degree showing, then it's automatically a square root (degree of 2). If you a number inside that square root that does not have an exponent (i.e. doesn't have a power), then the power is automatically 1, since any number to the power of 1 is that same number.

So, by knowing that, you can apply what I said earlier to realize that, for example, the square root of 2 is the same thing as saying 2 to the power of 1/2, or 0.5 (decimal form).

To write the power of a number, you use this symbol: ^

So, it would be written as:

2^0.5 or 2^1/2

[Angel_Light]

a=1
b=1
a=b
a²=ab
a²+a²=a²+ab
2a²=a²+ab
2a²-2ab=a²+ab-2ab
2a²-2ab=a²-ab
2(a²-ab)=1(a²-ab)
1=2


yay

also

Does 0.9 = 1?

1/3 +1/3 +1/3 =1

Put it into decimal, note the 3 in 0.3 is repeating.

0.3 + 0.3 + 0.3 = 0.9

So does 0.9 = 1.

[JkWhoSaysNi]

Yes.

0.999.... repeating = 1.

[Chris]

Originally Posted by JkWhoSaysNi

Yes.

0.999.... repeating = 1.

LOL

[JkWhoSaysNi]

what?

Was Angel_Light joking? It's hard to infer humour from text

[DustyPorViva]

1+1=11

[Sum41Freeeeek]

derr

[Tolnaftate2004]

Originally Posted by Angel_Light

2(a²-ab)=1(a²-ab)
1=2

a²-ab = 0, so removing them is division by 0, which is a math foul.

[Rapidwolve]

Originally Posted by Angel_Light

Is it possible.

Anything is possible

[Gambet]

Originally Posted by Rapidwolve

Anything is possible

Hence my custom user title (:

[Kristi]

Originally Posted by Tolnaftate2004

a²-ab = 0, so removing them is division by 0, which is a math foul.

well, if they were divided out, it would be infinity=infinity, so it is all good.

[napo_p2p]

Originally Posted by Kristi

well, if they were divided out, it would be infinity=infinity, so it is all good.

Then, it's not 1=2 anymore .

[Tolnaftate2004]

Originally Posted by Kristi

well, if they were divided out, it would be infinity=infinity, so it is all good.

0/0 does not definitely equal infinity.
In fact, to make Taylor/Maclaurin series work, 0/0 is finite (likely 1).


On another note, if you're going to use ^1/2, you may want to think again (PEMDAS). ^(1/2)...

[Kristi]

Originally Posted by Tolnaftate2004

0/0 does not definitely equal infinity.
In fact, to make Taylor/Maclaurin series work, 0/0 is finite (likely 1).


On another note, if you're going to use ^1/2, you may want to think again (PEMDAS). ^(1/2)...

Umm, 0 was never divided by 0 in that equation.

[Tolnaftate2004]

Originally Posted by Kristi

Umm, 0 was never divided by 0 in that equation.

2(a²-ab)=1(a²-ab)
2(a²-ab)/(a²-ab)=1(a²-ab)/(a²-ab)
recall that (a²-ab) = 0
gives us 2*0/0 = 1*0/0

Hey, what do you know.

[Kristi]

Originally Posted by Tolnaftate2004

2(a²-ab)=1(a²-ab)
2(a²-ab)/(a²-ab)=1(a²-ab)/(a²-ab)
recall that (a²-ab) = 0
gives us 2*0/0 = 1*0/0

Hey, what do you know.

Well either way, by order of operations in that case, the 2 and 1 would have both been multiplied by 0 before being divided by zero. So 0/0 = 0/0, which I do believe in modern math is concidered 0.

[Angel_Light]

I wonder what would happen IF we put those equation in GS2 and allow the language to solve it .=o

[DustyPorViva]

"OK, now what you gotta do is go down the road past the old Johnson place. You're gonna find two roads, one parallel and one perpendicular. Now keep going until you come to a highway that bisects it at a 45-degree angle. Solve for x."

[Twinny]

Originally Posted by DustyPorViva

"OK, now what you gotta do is go down the road past the old Johnson place. You're gonna find two roads, one parallel and one perpendicular. Now keep going until you come to a highway that bisects it at a 45-degree angle. Solve for x."

*Curls into fetal position and sucks thumb*

[Gambet]

Originally Posted by DustyPorViva

"OK, now what you gotta do is go down the road past the old Johnson place. You're gonna find two roads, one parallel and one perpendicular. Now keep going until you come to a highway that bisects it at a 45-degree angle. Solve for x."

How can one road be parallel to itself?

[Angel_Light]

Originally Posted by Gambet

How can one road be parallel to itself?

Kinda the point XD lol

[Skyld]

Originally Posted by Gambet

How can one road be parallel to itself?

Uncertainty theory?

[Tolnaftate2004]

Originally Posted by Kristi

Well either way, by order of operations in that case, the 2 and 1 would have both been multiplied by 0 before being divided by zero. So 0/0 = 0/0, which I do believe in modern math is concidered 0.

I can rearrange the numbers to do division first... If they're both multiplied by 0, I'd say the statement reads 0=0 and leave it at that. There is no infinity in either case. On top of that, 0/0 could be anything in C. Also, the taylor series for e (and sin and cos probably, along with others, I really haven't thought about it) needs 0/0 to be 1 to work. Oh, and TI-89s replace 0/0 with 1... ???

[Gambet]

You can't divide any number by 0, you can only divide 0 by a number.


What are you guys talking about?

[Tolnaftate2004]

Originally Posted by Gambet

You can't divide any number by 0, you can only divide 0 by a number.

This sort of thing is dealt with all the time in calculus. But I think that is a discussion for somewhere else.

[Kristi]

Originally Posted by Tolnaftate2004

This sort of thing is dealt with all the time in calculus. But I think that is a discussion for somewhere else.

Yes, Gambet, stop thinking so algebraically. It all has to do with approaching limits.

for f(x) = 1/x
.5 = 1/2
1 = 1/1
2 = 1/.5
10 = 1/.1
....

as x approaches 0, f(x) gets infinitely larger and larger, thus equating to infinity.

in the case of f(x) = 0/x
0 = 0/2
0 = 0/1
0 = 0/.5
0 = 0/.1
....

as x approaches 0, f(x) stays 0, so 0/0 = 0.

[Gambet]

Yeah I'm taking Algebra II Honors this year, all I can do is think algebraically -_-

[Angel_Light]

Originally Posted by Kristi

Yes, Gambet, stop thinking so algebraically. It all has to do with approaching limits.

for f(x) = 1/x
.5 = 1/2
1 = 1/1
2 = 1/.5
10 = 1/.1
....

as x approaches 0, f(x) gets infinitely larger and larger, thus equating to infinity.

in the case of f(x) = 0/x
0 = 0/2
0 = 0/1
0 = 0/.5
0 = 0/.1
....

as x approaches 0, f(x) stays 0, so 0/0 = 0.

*Joins Twinny in the fetal position while sucking my thumb*

[Twinny]

Originally Posted by Angel_Light

*Joins Twinny in the fetal position while sucking my thumb*

I left all those stuff at school. I never ever want to do another primitive function ever again. I did all right in calculus and trigonemtry and such but.....damn if I will ever use it. Or will ever be able to remember it

[Kristi]

Originally Posted by Tolnaftate2004

I can rearrange the numbers to do division first... If they're both multiplied by 0, I'd say the statement reads 0=0 and leave it at that. There is no infinity in either case. On top of that, 0/0 could be anything in C. Also, the taylor series for e (and sin and cos probably, along with others, I really haven't thought about it) needs 0/0 to be 1 to work. Oh, and TI-89s replace 0/0 with 1... ???

The TI-89 is wrong. The only way you can describe 0/0 equating to one is because of the algebraic rule that a/a is always equal to one, but that implies that a is a nonzero number. If you think about what division means in algebra, it establishs a ratio. if you did 2/5, then you would have ,4:1, if you did 1/2, then you would have .5:1, if you did 5/2, then you would have 2.5:1, etc etc. but what if you have a/0? You could never establish it as b:1. a/a as a ratio is 1:1, unless it is 0, which is why a/a when a=0 does not equal 1. The TI-89 incorrectly uses an algebraic rule in a situation where it cannot apply.

The only way to solve 0/0 is to use a limit approach, which makes it equal to 0, and which is the right answer defined by modern mathematics .

[napo_p2p]

Originally Posted by Tolnaftate2004

Oh, and TI-89s replace 0/0 with 1... ???

Wierd. Mines says 'undef' for 0/0.

[Tolnaftate2004]

Originally Posted by napo_p2p

Wierd. Mines says 'undef' for 0/0.

When you graph in 3D, I think it says "0/0 replaced with 1." I've only tinkered with an 89 for a little while, I don't actually own one, though.

Originally Posted by Kristi

The only way to solve 0/0 is to use a limit approach, which makes it equal to 0, and which is the right answer defined by modern mathematics .

I can make several limits to equate 0/0, and each of them gives a different result.

e: in fact,
lim (x,y) -> (0,0) y/x (does not exist) but evaluated individually gives C.

[Kristi]

Originally Posted by Tolnaftate2004

When you graph in 3D, I think it says "0/0 replaced with 1." I've only tinkered with an 89 for a little while, I don't actually own one, though.


I can make several limits to equate 0/0, and each of them gives a different result.

e: in fact,
lim (x,y) -> (0,0) y/x (does not exist) but evaluated individually gives C.

It doesn't matter what your calculator says, 0/0 is 0

[Angel_Light]

I use a TI 83+ so I know it's not as powerful as a TI 89 but mine gives me undefined and when I used my friends TI 92 it said 0/0 is one... so.... I just lost myself in thought

[Torankusu]

Zero is simple. If you do not have anything, then you cannot receive anything.

For example, If you split nothing (0) between (/) two (2) people, then they both have two nothings, which, equals 0.

The same is going to hold true if you divide nothing between no one. It will not even occur and there will still be nothing. You will not create something and end up with one (1) object.

For you math wizzes, I'm sure you know zero literally and mathematically means "nothing."



Oddly enough though, if you do 0^0 you will end up with one.

[Kristi]

Originally Posted by Torankusu

Zero is simple. If you do not have anything, then you cannot receive anything.

For example, If you split nothing (0) between (/) two (2) people, then they both have two nothings, which, equals 0.

The same is going to hold true if you divide nothing between no one. It will not even occur and there will still be nothing. You will not create something and end up with one (1) object.

For you math wizzes, I'm sure you know zero literally and mathematically means "nothing."



Oddly enough though, if you do 0^0 you will end up with one.

once again its a calculator error. 0^0 is equal to 0.

f(x) = 0^x

f(2) = 0^2 = 0
f(1) = 0^1 = 0
f(.5) = 0^.5 = 0
f(.1) = 0^.1 = 0
f(.01) = 0^.01 = 0
....

as you can see, as you approach 0, the value stays 0, so 0^0 = 0. you cannot apply the algebraic rule that a^0 = 1 unless its a nonzero number.