Notices
The Basement Non-Honda/Acura discussion. Content should be tasteful and "primetime" safe.

What is 0/0?

Thread Tools
 
Old Dec 7, 2006 | 11:07 PM
  #11  
2001TEGGSR's Avatar
2001TEGGSR
Senior Member
 
Joined: Oct 2004
Posts: 4,270
Likes: 0
From: Texas
Default

Originally Posted by jchoi
it's not possible.... it won't really make a difference if you give it a name.
It is possible, null already exists.


NULL
  • Null is a special value for a pointer (or other kind of object reference) used to signify that the pointer intentionally does not have a target. Such a pointer is called a null pointer. Many implementations use a binary 0 (all bits zero) as the null value, as most operating systems consider it an error to try to access such a low memory address. Some languages use other nomenclature for such a pointer, e.g., nil, undefined, void reference, etc.
  • In many disciplines, the concept of null allows a three-valued logic, with null indicating "unknown value". The SQL database query language uses Null in this way, as do Visual Basic (termed "Nothing") and its derivatives. In this model, an expression that depends on the value of a Null operand will evaluate to Null (VB) or "unknown" (SQL). So, for any A, the expressions "A = Null" and "A <> Null" are neither true nor false. However, the boolean operation "A and False" produces false, and similarly "A or True" is true, even when A is Null, because these expressions do not depend on the value of A. (Some SQL implementations may consider A = Null to be "true" if A is Null; see Null (SQL)).
http://en.wikipedia.org/wiki/Null_%28computer%29
Reply
Old Dec 8, 2006 | 10:39 AM
  #12  
CRAIGHIMSELF's Avatar
CRAIGHIMSELF
Be good
 
Joined: Feb 2004
Posts: 18,842
Likes: 0
From: Sloppy onshore junk.
Default

Null = my interest in this thread.

Beg = wanting something....like my minute back.
Reply
Old Dec 8, 2006 | 05:09 PM
  #13  
Llamaguy's Avatar
Llamaguy
Senior Member
 
Joined: Apr 2006
Posts: 4,301
Likes: 0
From: Indianapolis
Default

if you're so smart, find the lim x->0 of x/x
Reply
Old Dec 8, 2006 | 05:10 PM
  #14  
Misa's Avatar
Misa
Pic Whore
 
Joined: Jul 2004
Posts: 22,224
Likes: 1
From: NJ
Default

Originally Posted by Llamaguy
if you're so smart, find the lim x->0 of x/x
1?
Reply
Old Dec 8, 2006 | 05:17 PM
  #15  
2001TEGGSR's Avatar
2001TEGGSR
Senior Member
 
Joined: Oct 2004
Posts: 4,270
Likes: 0
From: Texas
Default

uhh ok i'm lost on that one lama guy...

google said 1 tho
Reply
Old Dec 8, 2006 | 05:18 PM
  #16  
2001TEGGSR's Avatar
2001TEGGSR
Senior Member
 
Joined: Oct 2004
Posts: 4,270
Likes: 0
From: Texas
Default

The area of the circular wedge is 1/2 x while the triangle ABC
has area 1/2 sin(x) and the triangle ABD has area 1/2 tan(x). From
the diagram, clearly for 0 < x < pi/2, sin(x) < x < tan(x). Thus,
dividing by x, we get
sin(x) tan(x)
------ < 1 < ------ [1]
x x

multiplying [1] by cos(x) yields

sin(x) cos(x) sin(x)
------------- < cos(x) < ------ [2]
x x

Combining [1] and [2], we have for 0 < x < pi/2,

sin(x)
cos(x) < ------ < 1 [3]
x

Each term in [3] is even, so [3] holds for -pi/2 < x < 0 as well.
Therefore, [3] holds for -pi/2 < x < pi/2, except x = 0.

As x -> 0, cos(x) -> 1. Since sin(x)/x is sandwiched between cos(x)
and 1, we must have

sin(x)
lim ------ = 1
x->0 x
Reply
Old Dec 8, 2006 | 05:23 PM
  #17  
Llamaguy's Avatar
Llamaguy
Senior Member
 
Joined: Apr 2006
Posts: 4,301
Likes: 0
From: Indianapolis
Default

Originally Posted by 2001TEGGSR
uhh ok i'm lost on that one lama guy...

google said 1 tho
I'll tell you tomorrow when I start studying for my calc final.
Reply




All times are GMT -8. The time now is 08:34 AM.