Posts: 52
Threads: 1
Joined: September 6, 2014
Reputation:
2
RE: Dividing by zero
September 8, 2014 at 3:26 pm
Yeah there's alot of ways that 1/0 is just a "bug" in mathematics.
The fact is, by quantification it's necessarily infinite, but 0 doesn't have a sign.
Suppose f function
f(x)= (x+1)/x
At the point f(0) it'll have:
f(0) = 1/0 = ?
But f(x) also has another representation by separation
f(x) = (x+1)/x = x/x + 1/x = 1 + 1/x
which on point 0 is
f(0) = 1 + 1/0
So
1/0 = 1 + 1/0
And cutting 1/0 on both sides.
0=1
In fact on the other way around you can replace 1/0 with f(0) and :
f(0) = 1 + f(0)
So
f(0) = 1 + ( 1 + f(0)) = 1 + [ 1 + ( 1 + f(0))]= ... = +oo + f(0)
So cuting the f(0) you have 0 = +oo too
Posts: 8
Threads: 2
Joined: September 30, 2014
Reputation:
0
RE: Dividing by zero
October 1, 2014 at 7:12 pm
0/0 could technically be any number, but any other numerator renders an undefined value.
Posts: 18510
Threads: 129
Joined: January 19, 2014
Reputation:
91
RE: Dividing by zero
October 1, 2014 at 7:17 pm
(October 1, 2014 at 7:12 pm)L.A.F.2. Wrote: 0/0 could technically be any number, but any other numerator renders an undefined value.
The problem is that you cant assign any specific number without violating important properties of the real numbers. If you define e.g. 0/0=3, then what is 2*0/0? Depending on the order of operations, that's 3 or 6, so associativity is broken.
The fool hath said in his heart, There is a God. They are corrupt, they have done abominable works, there is none that doeth good.
Psalm 14, KJV revised edition
Posts: 8
Threads: 2
Joined: September 30, 2014
Reputation:
0
RE: Dividing by zero
October 1, 2014 at 8:17 pm
(This post was last modified: October 1, 2014 at 8:23 pm by L.A.F.2..)
Exactly, it's an indefinite form and can't be used as a single value algebraically.
Great situation. 
Delete
Posts: 9147
Threads: 83
Joined: May 22, 2013
Reputation:
46
RE: Dividing by zero
October 2, 2014 at 5:17 am
(This post was last modified: October 2, 2014 at 5:18 am by bennyboy.)
It is my position that the universe could only have been made by a /0 operation. That's the only way to get something from nothing.
Posts: 18510
Threads: 129
Joined: January 19, 2014
Reputation:
91
RE: Dividing by zero
October 2, 2014 at 5:38 am
(October 2, 2014 at 5:17 am)bennyboy Wrote: It is my position that the universe could only have been made by a /0 operation. That's the only way to get something from nothing.
Soon however, God realized his mistake, crumpled the calculation up and threw it in the trash. A manic garbageman named Lucifer found it there, and the rest is history.
The fool hath said in his heart, There is a God. They are corrupt, they have done abominable works, there is none that doeth good.
Psalm 14, KJV revised edition
Posts: 4484
Threads: 185
Joined: October 12, 2012
Reputation:
44
RE: Dividing by zero
October 2, 2014 at 6:52 am
(August 10, 2013 at 2:57 am)Tea Earl Grey Hot Wrote: I'm not a math wiz. Why is it you can multiply by zero and get zero but you can't divide by zero?
Why doesn't 1/0 equal 0 but 1*0 does? Is there a reason or is it arbitrary? Because you can't split any non-zero number into zero groups. Imagine I give you 2 apples and tell you to divide into 1 group, that's easy. Imagine I say divide into 4.5 groups - a bit more difficult, but you can do it. You'd first cut each apple into 225 slices, then take the 450 slices and put 100 into the 4x whole groups and 50 into the 0.5 group.
Okay you get the idea. Now I say divide into zero groups - it can't be done.
When dealing with fractions you tend to say it the other way around to make more sense, eg. 2 / 0.5 - I want you to divide the apples into groups of 0.5 apples (you end up with 4 groups). So you can also say it this way - divide the two apples into groups of zero. Can't be done, even with infinite groups you still have 2 apples left over yet to be divided.
For Religion & Health see:[/b][/size] Williams & Sternthal. (2007). Spirituality, religion and health: Evidence and research directions. Med. J. Aust., 186(10), S47-S50. -LINK
The WIN/Gallup End of Year Survey 2013 found the US was perceived to be the greatest threat to world peace by a huge margin, with 24% of respondents fearful of the US followed by: 8% for Pakistan, and 6% for China. This was followed by 5% each for: Afghanistan, Iran, Israel, North Korea. -LINK
"That's disgusting. There were clean athletes out there that have had their whole careers ruined by people like Lance Armstrong who just bended thoughts to fit their circumstances. He didn't look up cheating because he wanted to stop, he wanted to justify what he was doing and to keep that continuing on." - Nicole Cooke
Posts: 30129
Threads: 304
Joined: April 18, 2014
Reputation:
92
RE: Dividing by zero
October 2, 2014 at 9:25 am
If this hasn't been specifically mentioned:
My being the dum-dum I am about maths, I still find it fascinating that in an algebraic equation, and it is not obvious a term =0, the problems still accrue.
If you divide by (A+B-C) and A=1, B=2, and C=3, you still have a fail brewing. You can't sneak one thru !!!
Posts: 18510
Threads: 129
Joined: January 19, 2014
Reputation:
91
RE: Dividing by zero
October 2, 2014 at 10:33 am
(October 2, 2014 at 9:25 am)vorlon13 Wrote: If this hasn't been specifically mentioned:
My being the dum-dum I am about maths, I still find it fascinating that in an algebraic equation, and it is not obvious a term =0, the problems still accrue.
If you divide by (A+B-C) and A=1, B=2, and C=3, you still have a fail brewing. You can't sneak one thru !!!
Yep, that's the trick behind that joke where you show that 1=2, and a assumption in the beginning hides the fact that one divides by zero later in the derivation.
The fool hath said in his heart, There is a God. They are corrupt, they have done abominable works, there is none that doeth good.
Psalm 14, KJV revised edition
Posts: 25314
Threads: 239
Joined: August 26, 2010
Reputation:
156
RE: Dividing by zero
October 2, 2014 at 10:37 am
(October 2, 2014 at 9:25 am)vorlon13 Wrote: You can't sneak one thru !!!
I just did. Sorry about that.
At the age of five, Skagra decided emphatically that God did not exist. This revelation tends to make most people in the universe who have it react in one of two ways - with relief or with despair. Only Skagra responded to it by thinking, 'Wait a second. That means there's a situation vacant.'
|
